NeSA Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Recognize a statistical question and understand a distribution of a data set

Summarize and describe distributions, including measures of center and variability

Display numerical data in plots on a number line, including dot plots, histograms, and box plots

Summarize numerical data sets in relation to their context

Standards basis

Nebraska College and Career Ready Standards for Mathematics (2019; Common Core–aligned domain structure) — Nebraska

How the NeSA reports it

Nebraska’s statewide math assessment is administered through NSCAS, but the official assessment page does not publish a test-specific math blueprint or reporting-category document on the page reviewed. In the absence of a public blueprint, the most defensible coverage map is the Nebraska College and Career Ready Standards for Mathematics, which are the state’s current standards basis and closely mirror Common Core-style grade-level domains.

Blueprint & weighting

No public test blueprint or per-domain item weighting was located on the Nebraska Department of Education assessment page reviewed. The page references NSCAS testing windows and general statewide assessment materials, but not math reporting-category percentages.

Official sources

Nebraska Department of Education – Statewide Assessment
Nebraska Department of Education – Press release noting current Nebraska College and Career Ready Standards approved in 2019

8 free questions · 0/0 correct

Practice playeasy

A student tracked minutes spent studying each night for $16$ nights. The frequency table shows the results.
$\begin{array}{c|c} \text{Minutes studied} & \text{Number of nights} \\ \hline 10 & 2 \\ 20 & 4 \\ 30 & 3 \\ 40 & 5 \\ 50 & 2 \end{array}$

What is the median number of minutes studied per night?

Expand to $16$ values: $10, 10, 20, 20, 20, 20, 30, 30, 30, 40, 40, 40, 40, 40, 50, 50$ . The $8$ th and $9$ th values are both $30$ , so the median is $30$ minutes.

Practice playmedium

A cyclist records five ride distances, in miles: $12$ , $15$ , $18$ , $21$ , and $24$ . Another ride distance is added to the data set, but its length is not given. How does this affect the mean?

The mean of the five known distances can be found, but the effect of the change depends on the unknown sixth distance. Without that value, the new mean cannot be determined.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are $62\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $75\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ and $67\textsf{.}$ What is the mean temperature?

Mean $= \dfrac{62 + 64 + 66 + 75 + 70 + 72 + 67}{7} = \dfrac{476}{7} = 68$ .

Practice playeasy

Find the median of 2, 4, 6, 8.

Order the data and take the middle value(s): median $= 5$ .

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are $64\textsf{,}$ $78\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $66\textsf{.}$ What is the median temperature?

In order, the values are $60\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $72\textsf{,}$ $78\textsf{.}$ The median is the middle value, $66\textsf{.}$

Practice playeasy

The statistical question "How many minutes is your ride to school?" produced the data $3, 8, 10, 15$ . What is the range of the data?

The range describes the spread: greatest value minus least value. $15 - 3 = 12$ .

Practice playeasy

Coach Rivera brainstorms four questions:

• How many push-ups can each player on my team do?
• How many push-ups did the team captain do today?
• How many sit-ups can each player on my team do?
• How many laps can each player on my team run?

How many of the four are statistical questions?

A statistical question anticipates variability. Asking how many push-ups, sit-ups, or laps each player can do asks about every player, so the answers can differ from player to player. Asking how many push-ups the team captain did today asks about one person on one day, so it has one answer. That makes $3$ statistical questions.

Practice playeasy

A shipping clerk weighed $14$ packages. The frequency table shows each weight and how many packages had that weight.
$\begin{array}{c|c} \text{Weight (lb)} & \text{Number of packages} \\ \hline 2 & 3 \\ 7 & 2 \\ 12 & 5 \\ 17 & 2 \\ 22 & 2 \end{array}$

What is the median package weight?

There are $14$ weights. Listing every weight from least to greatest, the $7$ th and $8$ th values are both $12$ , so the median is $12$ pounds.

NeSA Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Recognize a statistical question and understand a distribution of a data set

Summarize and describe distributions, including measures of center and variability

Display numerical data in plots on a number line, including dot plots, histograms, and box plots

Summarize numerical data sets in relation to their context

Topics mapped to this domain

Central Measures from Tally Charts (ACT)

Mean change from data set edits

Mean from a data list

Measures of center and variability

Median from a data list

Describing a Data Distribution

Identifying Statistical Questions

8 free questions · 0/0 correct

Turn statistics and probability into game time.

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