DC CAPE Grades 6-8 Statistics and Probability Practice

Statistics and Probability skills

develop understanding of statistical variability

summarize and describe distributions

investigate patterns of association in bivariate data

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Official sources

OSSE DC CAPE
OSSE DC CAPE page content on CCSS and test specifications

8 free questions · 0/0 correct

Practice playeasy

A clinic recorded customer wait times, in minutes, for $16$ visits. The frequency table shows the results.
$\begin{array}{c|c} \text{Wait time (min)} & \text{Number of customers} \\ \hline 2 & 2 \\ 5 & 3 \\ 8 & 2 \\ 11 & 6 \\ 14 & 3 \end{array}$

What is the median wait time?

Expand to $16$ wait times: $2, 2, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 14, 14, 14$ . The $8$ th and $9$ th values are both $11$ , so the median is $11$ minutes.

Practice playeasy

A club answered the statistical question "How many hours did you practice this week?" The answers were $4, 7, 7, 9, 10, 12, 13$ . How many people were interviewed?

Each answer in the list is one person. Count every value, including repeats: there are $7$ answers, so $7$ people were interviewed.

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 student logs five daily page counts: $20$ , $25$ , $30$ , $35$ , and $40$ . A sixth day with $45$ pages read is added to the data set. How does this affect the mean?

The mean of the original five counts is $\dfrac{20+25+30+35+40}{5}=30$ pages. Because $45>30$ , adding $45$ pulls the mean up.

Practice playeasy

The practice times, in minutes, for five days are $18\textsf{,}$ $22\textsf{,}$ $30\textsf{,}$ $20\textsf{,}$ and $35\textsf{.}$ What is the mean practice time?

Mean $= \dfrac{18 + 22 + 30 + 20 + 35}{5} = \dfrac{125}{5} = 25$ .

Practice playeasy

Find the mean of the data set 1, 4, 4, 7, 9.

Mean $= \dfrac{1+4+4+7+9}{5} = 5$ .

Practice playeasy

Seven game scores are $90\textsf{,}$ $70\textsf{,}$ $82\textsf{,}$ $75\textsf{,}$ $95\textsf{,}$ $60\textsf{,}$ and $88\textsf{.}$ What is the median score?

In order, the values are $60\textsf{,}$ $70\textsf{,}$ $75\textsf{,}$ $82\textsf{,}$ $88\textsf{,}$ $90\textsf{,}$ $95\textsf{.}$ The median is the middle value, $82\textsf{.}$

Practice playeasy

A trend line for the number of car washes a club holds $x$ and the club's funds $y$ in dollars is $y = 75x + 120$ . According to the line, how many dollars did the club have before holding any car washes?

At $x = 0$ , $y = 120$ dollars: the $y$ -intercept is the starting amount.

DC CAPE Grades 6-8 Statistics and Probability. Practice it free.

Statistics and Probability skills

develop understanding of statistical variability

summarize and describe distributions

investigate patterns of association in bivariate data

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

Scatterplots and trend lines

Two-way tables

8 free questions · 0/0 correct

Turn statistics and probability into game time.

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