Central Measures from Tally Charts (ACT) is a grade 6 math skill aligned to Common Core standard 6.SP.B.5.c. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 central measures from tally charts (act) problems our math games drill.
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 scores. Listing every score from least to greatest, the th and th values are both , so the median is .
A student tracked minutes spent studying each night for 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 values: . The th and th values are both , so the median is minutes.
A shipping clerk weighed packages. The frequency table shows each weight and how many packages had that weight.
\begin{array}{c|c} \text{Weight (lb)} & \text{Number of packages} \ \hline 2 & 3 \ 7 & 2 \ 12 & 5 \ 17 & 2 \ 22 & 2 \end{array}
What is the median package weight?
There are weights. Listing every weight from least to greatest, the th and th values are both , so the median is pounds.
A clinic recorded customer wait times, in minutes, for 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 wait times: . The th and th values are both , so the median is minutes.
A coach recorded how many goals the team scored in each of 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: . With games, the mean is goals per game.
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: . With students, the mean is siblings.
A fitness tracker recorded daily step counts, in thousands of steps, over days. The frequency table shows the results.
\begin{array}{c|c} \text{Steps (thousands)} & \text{Number of days} \ \hline 5 & 3 \ 8 & 2 \ 11 & 4 \ 14 & 3 \ 17 & 2 \end{array}
What is the mean step count per day?
Multiply each step count by its frequency and add: . With days, the mean is thousand steps.
A basketball player recorded points scored in each of 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: . With games, the mean is points per game.
The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.
The free placement test finds your level, then every match serves central measures from tally charts (act) questions at exactly the right difficulty.
