ISAT Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

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

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

8 free questions · 0/0 correct

Practice playeasy

Mia writes three survey questions:

• How many minutes do students in my class spend on homework?
• How many minutes did I spend on homework last night?
• How tall are the players on my team?

How many of the three are statistical questions?

A statistical question anticipates variability. Asking how many minutes students spend on homework, and how tall the players are, both ask about a group, so the answers can differ. Asking how many minutes I spent last night asks about one person on one night, so it has one answer. That makes $2$ statistical questions.

Practice playmedium

A survey asked students how many siblings they have. The frequency table shows the responses.
$\begin{array}{c|c} \text{Number of siblings} & \text{Number of students} \\ \hline 0 & 3 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 2 \end{array}$

What is the mean number of siblings per student?

Multiply each sibling count by its frequency and add: $(0 \times 3) + (1 \times 2) + (2 \times 4) + (3 \times 5) + (4 \times 2) = 33$ . With $16$ students, the mean is $\dfrac{33}{16} = 2.0625$ siblings.

Practice playeasy

Five students answered the statistical question "How many hours did you sleep last night?" The answers were $9, 4, 11, 6, 2$ . What is the median number of hours?

The median describes the center: put the values in order and take the middle. In order: $2, 4, 6, 9, 11$ . The middle value is $6$ .

Practice playeasy

A biologist measures five plant heights, in inches: $58$ , $60$ , $62$ , $64$ , and $66$ . The tallest plant, $66$ inches, is removed from the data set. How does this affect the mean?

The mean of the original five heights is $\dfrac{58+60+62+64+66}{5}=62$ inches. Because $66>62$ , removing the largest value lowers the mean.

Practice playeasy

The distances, in miles, run on seven days are $6\textsf{,}$ $8\textsf{,}$ $12\textsf{,}$ $9\textsf{,}$ $14\textsf{,}$ $7\textsf{,}$ and $14\textsf{.}$ What is the mean distance?

Mean $= \dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = \dfrac{70}{7} = 10$ .

Practice playeasy

Find the median of 3, 7, 9.

Order the data and take the middle value(s): median $= 7$ .

Practice playeasy

Seven test scores are $90\textsf{,}$ $50\textsf{,}$ $80\textsf{,}$ $55\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $83\textsf{.}$ What is the median score?

In order, the values are $50\textsf{,}$ $55\textsf{,}$ $60\textsf{,}$ $72\textsf{,}$ $80\textsf{,}$ $83\textsf{,}$ $90\textsf{.}$ The median is the middle value, $72\textsf{.}$

Practice playeasy

Jaden lists four questions:

• What is my dog's weight?
• How much do the dogs at the animal shelter weigh?
• How old is my teacher?
• How tall is my desk?

How many of the four are statistical questions?

A statistical question anticipates variability. Asking how much the dogs at the animal shelter weigh asks about a group, so the weights can differ. Asking about one dog, one teacher, or one desk has a single answer. That makes $1$ statistical question.