KAP Grade 6 Statistics and Probability. Practice it free.

Develops understanding of statistical variability and summarizes numerical data distributions. This Grade 6 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 67 mapped skills
What the test measures

Statistics and Probability skills

  1. Recognize a statistical question

  2. Display numerical data in plots on a number line

  3. Summarize numerical data sets in relation to their context

  4. Describe center, spread, and overall shape of a distribution

  5. Find measures of center and variability

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

KAP uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playmedium

Five test scores are 7070, 7878, 8484, 9090, and 9696. One score is removed from the data set, but which score was removed is not stated. How does this affect the mean?

The mean of the five given scores can be found, but removing a different score changes the mean in different ways. Without knowing which score was removed, the effect cannot be determined.

Practice playeasy

Find the range of 10, 3, 15, 6.

Range =maxmin=153=12= \max - \min = 15 - 3 = 12.

Practice playeasy

A shipping clerk weighed 1414 packages. The frequency table shows each weight and how many packages had that weight.
Weight (lb)Number of packages2372125172222\begin{array}{c|c} \text{Weight (lb)} & \text{Number of packages} \\ \hline 2 & 3 \\ 7 & 2 \\ 12 & 5 \\ 17 & 2 \\ 22 & 2 \end{array}

What is the median package weight?

There are 1414 weights. Listing every weight from least to greatest, the 77th and 88th values are both 1212, so the median is 1212 pounds.

Practice playeasy

A class answered the statistical question "How many pages did you read this week?" The answers were 12,15,15,18,20,1512, 15, 15, 18, 20, 15. How many students were interviewed?

Each answer in the list is one student. Count every value, including repeats: there are 66 answers, so 66 students were interviewed.

Practice playeasy

A student is writing questions about pets. Which of these is a statistical question?

A statistical question anticipates variability: many people or things can give different answers. "How many pets does each family on my street own?" asks about many families, so the numbers can differ. It is a statistical question.

Practice playeasy

Seven test scores are 70,70\textsf{,} 75,75\textsf{,} 88,88\textsf{,} 85,85\textsf{,} 90,90\textsf{,} 65,65\textsf{,} and 87.87\textsf{.} What is the mean score?

Mean =70+75+88+85+90+65+877=5607=80= \dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = \dfrac{560}{7} = 80.

Practice playeasy

The distances, in miles, run on seven days are 14,14\textsf{,} 6,6\textsf{,} 20,20\textsf{,} 9,9\textsf{,} 11,11\textsf{,} 18,18\textsf{,} and 6.6\textsf{.} What is the median distance?

In order, the values are 6,6\textsf{,} 6,6\textsf{,} 9,9\textsf{,} 11,11\textsf{,} 14,14\textsf{,} 18,18\textsf{,} 20.20\textsf{.} The median is the middle value, 11.11\textsf{.}

Practice playeasy

A weather station records five daily rainfall amounts, in inches: 11, 22, 33, 44, and 55. The lowest amount, 11 inch, is removed from the data set. How does this affect the mean?

The mean of the original five amounts is 1+2+3+4+55=3\dfrac{1+2+3+4+5}{5}=3 inches. Because 1<31<3, removing the smallest value raises the mean.

Keep practicing

Turn statistics and probability into game time.

The KAP placement starts with this test's real coverage map and finds the right difficulty.