KSA Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Recognize a statistical question as one that anticipates variability in the data related to the question

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape

Summarize and describe distributions using dot plots, histograms, and box plots

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

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

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

Official sources

Kentucky Department of Education — Kentucky Summative Assessment
Kentucky Department of Education — Mathematics
Kentucky Department of Education — Kentucky Laws and Regulations

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 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 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 playmedium

A coach recorded how many goals the team scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Goals scored} & \text{Number of games} \\ \hline 1 & 2 \\ 3 & 4 \\ 5 & 4 \\ 7 & 3 \\ 9 & 3 \end{array}$

What is the mean number of goals scored per game?

Multiply each goal total by its frequency and add: $(1 \times 2) + (3 \times 4) + (5 \times 4) + (7 \times 3) + (9 \times 3) = 82$ . With $16$ games, the mean is $\dfrac{82}{16} = 5.125$ goals per game.

KSA Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Recognize a statistical question as one that anticipates variability in the data related to the question

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape

Summarize and describe distributions using dot plots, histograms, and box plots

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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