TCAP Grade 6 Statistics and Probability Practice

Statistics and Probability skills

6.SP.A.1 Recognize a statistical question

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution

6.SP.B.3 Recognize that a measure of center describes a set of data by a single number

6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots

6.SP.B.5 Summarize numerical data sets in relation to their context

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

8 free questions · 0/0 correct

Practice playeasy

The table shows quiz scores and how many students earned each score.
$\begin{array}{c|c} \text{Quiz score} & \text{Number of students} \\ \hline 62 & 2 \\ 68 & 3 \\ 74 & 5 \\ 80 & 3 \\ 86 & 3 \end{array}$

What is the median quiz score?

There are $16$ scores. Listing every score from least to greatest, the $8$ th and $9$ th values are both $74$ , so the median is $74$ .

Practice playeasy

Students answered the statistical question "How many books did you read this summer?" The data are $2, 5, 6, 9$ . What is the range of the data?

The range describes the spread: greatest value minus least value. $9 - 2 = 7$ .

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 runner logs five lap times, in seconds: $18$ , $20$ , $22$ , $24$ , and $26$ . A sixth lap time of $16$ seconds is added to the data set. How does this affect the mean?

The mean of the original five times is $\dfrac{18+20+22+24+26}{5}=22$ seconds. Because $16<22$ , adding $16$ pulls the mean down.

Practice playeasy

Seven game scores are $14\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ $20\textsf{,}$ $12\textsf{,}$ $15\textsf{,}$ and $23\textsf{.}$ What is the mean score?

Mean $= \dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = \dfrac{112}{7} = 16$ .

Practice playeasy

Find the mean of the data set 3, 8, 10.

Mean $= \dfrac{3+8+10}{3} = 7$ .

Practice playeasy

The practice times, in minutes, for five days are $35\textsf{,}$ $15\textsf{,}$ $20\textsf{,}$ $40\textsf{,}$ and $25\textsf{.}$ What is the median practice time?

In order, the values are $15\textsf{,}$ $20\textsf{,}$ $25\textsf{,}$ $35\textsf{,}$ $40\textsf{.}$ The median is the middle value, $25\textsf{.}$

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.

TCAP Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

6.SP.A.1 Recognize a statistical question

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution

6.SP.B.3 Recognize that a measure of center describes a set of data by a single number

6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots

6.SP.B.5 Summarize numerical data sets in relation to their context

Topics mapped to this domain

Central Measures from Tally Charts (ACT)

Describing a Data Distribution

Identifying Statistical Questions

Mean change from data set edits

Mean from a data list

Measures of center and variability

Median from a data list

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 6 domains