Descriptive Statistics Quiz
The question sheet
Reveal any answer as you study-
Frequency is defined as:
- The range of the middle 50% of data
- The mean of an interval
- A value that does not fit the rest
- The number of times a value occurs
Reveal answer
Answer: The number of times a value occurs
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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In a histogram, the x-axis represents:
- The interquartile range
- The relative frequency only
- The data values
- The frequency of data
Reveal answer
Answer: The data values
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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How is the interquartile range (IQR) found?
- Adding first and third quartiles
- Squaring the standard deviation
- Third quartile minus first quartile
- Dividing the range by two
Reveal answer
Answer: Third quartile minus first quartile
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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The mean is a measure of:
- The middle 50% of data
- Spread of the data
- Central tendency of the data
- Frequency of a value
Reveal answer
Answer: Central tendency of the data
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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The median separates ordered data into:
- Halves
- Thirds
- Hundredths
- Quarters
Reveal answer
Answer: Halves
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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The mode is defined as:
- The square root of the variance
- The value that appears most frequently
- The middle value of the data
- The average of the data
Reveal answer
Answer: The value that appears most frequently
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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What is the midpoint in a frequency table?
- The most frequent value
- The mean of an interval
- The largest data value
- The third quartile
Reveal answer
Answer: The mean of an interval
Source evidence
PDF page 134: box plot a graph that gives a quick picture of the middle 50 percent of the data first quartile the value that is the median of the lower half of the ordered data set frequency the number of times a value of the data occurs frequency polygon a data display that looks like a line graph but uses intervals to display ranges of large amounts of data frequency table a data representation in which grouped data are displayed along with the corresponding frequencies histogram a graphical representation in x-y form of the distribution of data in a data set; x represents the data and y represents the frequency, or relative frequency; the graph consists of contiguous rectangles interquartile range or IQR, is the range of the middle 50 percent of the data values; the IQR is found by subtracting the first quartile from the third quartile interval also called a class interval; an interval represents a range of data and is used when displaying large data sets mean a number that measures the central tendency of the data; a common name for mean is average. The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by ) is , and the mean for a population (denoted by μ) is median a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median The median may or may not be part of the data. midpoint the mean of an interval in a frequency table mode the value that appears most frequently in a set of data outlier an observation that does not fit the rest of the data paired data set two data sets that have a one-to-one relationship so that
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Percentiles divide ordered data into:
- Hundredths
- Halves
- Tenths
- Quarters
Reveal answer
Answer: Hundredths
Source evidence
PDF page 134: percentile a number that divides ordered data into hundredths; percentiles may or may not be part of the data. The th median of the data is the second quartile and the 50 percentile th th The first and third quartiles are the 25 and the 75 percentiles, respectively. quartiles the numbers that separate the data into quarters; quartiles may or may not be part of the data; the second quartile is the median of the data relative frequency the ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes skewed used to describe data that is not symmetrical; when the right side of a graph looks chopped off compared to the left side, we say it is skewed to the left. When the left side of the graph looks chopped off compared to the right side, we say the data are skewed to the right. Alternatively, when the lower values of the data are more spread out, we say the data are skewed to the left. When the greater values are more spread out, the data are skewed to the right. standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation variance mean of the squared deviations from the mean, or the square of the standard deviation; for a set of data, a
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The median corresponds to which percentile?
- 75th percentile
- 50th percentile
- 100th percentile
- 25th percentile
Reveal answer
Answer: 50th percentile
Source evidence
PDF page 134: percentile a number that divides ordered data into hundredths; percentiles may or may not be part of the data. The th median of the data is the second quartile and the 50 percentile th th The first and third quartiles are the 25 and the 75 percentiles, respectively. quartiles the numbers that separate the data into quarters; quartiles may or may not be part of the data; the second quartile is the median of the data relative frequency the ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes skewed used to describe data that is not symmetrical; when the right side of a graph looks chopped off compared to the left side, we say it is skewed to the left. When the left side of the graph looks chopped off compared to the right side, we say the data are skewed to the right. Alternatively, when the lower values of the data are more spread out, we say the data are skewed to the left. When the greater values are more spread out, the data are skewed to the right. standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation variance mean of the squared deviations from the mean, or the square of the standard deviation; for a set of data, a
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The first and third quartiles are the:
- 25th and 75th percentiles
- 25th and 50th percentiles
- 10th and 90th percentiles
- 50th and 100th percentiles
Reveal answer
Answer: 25th and 75th percentiles
Source evidence
PDF page 134: percentile a number that divides ordered data into hundredths; percentiles may or may not be part of the data. The th median of the data is the second quartile and the 50 percentile th th The first and third quartiles are the 25 and the 75 percentiles, respectively. quartiles the numbers that separate the data into quarters; quartiles may or may not be part of the data; the second quartile is the median of the data relative frequency the ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes skewed used to describe data that is not symmetrical; when the right side of a graph looks chopped off compared to the left side, we say it is skewed to the left. When the left side of the graph looks chopped off compared to the right side, we say the data are skewed to the right. Alternatively, when the lower values of the data are more spread out, we say the data are skewed to the left. When the greater values are more spread out, the data are skewed to the right. standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation variance mean of the squared deviations from the mean, or the square of the standard deviation; for a set of data, a
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Relative frequency is the ratio of a value's occurrences to:
- The number of all outcomes
- The first quartile
- The variance
- The mean of the data
Reveal answer
Answer: The number of all outcomes
Source evidence
PDF page 134: percentile a number that divides ordered data into hundredths; percentiles may or may not be part of the data. The th median of the data is the second quartile and the 50 percentile th th The first and third quartiles are the 25 and the 75 percentiles, respectively. quartiles the numbers that separate the data into quarters; quartiles may or may not be part of the data; the second quartile is the median of the data relative frequency the ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes skewed used to describe data that is not symmetrical; when the right side of a graph looks chopped off compared to the left side, we say it is skewed to the left. When the left side of the graph looks chopped off compared to the right side, we say the data are skewed to the right. Alternatively, when the lower values of the data are more spread out, we say the data are skewed to the left. When the greater values are more spread out, the data are skewed to the right. standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation variance mean of the squared deviations from the mean, or the square of the standard deviation; for a set of data, a
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The second quartile is also known as the:
- Range
- Mode
- Mean
- Median
Reveal answer
Answer: Median
Source evidence
PDF page 134: percentile a number that divides ordered data into hundredths; percentiles may or may not be part of the data. The th median of the data is the second quartile and the 50 percentile th th The first and third quartiles are the 25 and the 75 percentiles, respectively. quartiles the numbers that separate the data into quarters; quartiles may or may not be part of the data; the second quartile is the median of the data relative frequency the ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes skewed used to describe data that is not symmetrical; when the right side of a graph looks chopped off compared to the left side, we say it is skewed to the left. When the left side of the graph looks chopped off compared to the right side, we say the data are skewed to the right. Alternatively, when the lower values of the data are more spread out, we say the data are skewed to the left. When the greater values are more spread out, the data are skewed to the right. standard deviation a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population standard deviation variance mean of the squared deviations from the mean, or the square of the standard deviation; for a set of data, a
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