ILEARN 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 and accounts for it in the answers

Summarize numerical data sets in relation to their context

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

Summarize data sets by the number of observations, center, and variability

Describe the nature of the data collected

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

8 free questions · 0/0 correct

Practice playeasy

A weather station records five daily rainfall amounts, in inches: $1$ , $2$ , $3$ , $4$ , and $5$ . The lowest amount, $1$ inch, is removed from the data set. How does this affect the mean?

The mean of the original five amounts is $\dfrac{1+2+3+4+5}{5}=3$ inches. Because $1<3$ , removing the smallest value raises the mean.

Practice playeasy

Find the range of 4, 9, 2, 7.

Range $= \max - \min = 9 - 2 = 7$ .

Practice playmedium

A basketball player recorded points scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Points scored} & \text{Number of games} \\ \hline 18 & 2 \\ 21 & 3 \\ 24 & 4 \\ 27 & 4 \\ 30 & 3 \end{array}$

What is the mean number of points scored per game?

Multiply each point total by its frequency and add: $(18 \times 2) + (21 \times 3) + (24 \times 4) + (27 \times 4) + (30 \times 3) = 393$ . With $16$ games, the mean is $\dfrac{393}{16} = 24.5625$ points per game.

Practice playeasy

The ages, in years, of seven students are $10\textsf{,}$ $16\textsf{,}$ $14\textsf{,}$ $8\textsf{,}$ $13\textsf{,}$ $15\textsf{,}$ and $8\textsf{.}$ What is the mean age?

Mean $= \dfrac{10 + 16 + 14 + 8 + 13 + 15 + 8}{7} = \dfrac{84}{7} = 12$ .

Practice playeasy

Five quiz scores are $92\textsf{,}$ $68\textsf{,}$ $75\textsf{,}$ $88\textsf{,}$ and $77\textsf{.}$ What is the median score?

In order, the values are $68\textsf{,}$ $75\textsf{,}$ $77\textsf{,}$ $88\textsf{,}$ $92\textsf{.}$ The median is the middle value, $77\textsf{.}$

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 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

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

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

ILEARN 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 and accounts for it in the answers

Summarize numerical data sets in relation to their context

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

Summarize data sets by the number of observations, center, and variability

Describe the nature of the data collected

Topics mapped to this domain

Mean change from data set edits

Measures of center and variability

Central Measures from Tally Charts (ACT)

Mean from a data list

Median from a data list

Identifying Statistical Questions

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 6 domains