# Worksheet: Grouped Frequency Tables: Estimating the Mean

In this worksheet, we will practice estimating the mean using grouped frequency tables.

Q1:

The table shows students’ math test scores.

 Scores Frequency 0–10 11–21 22–32 33–43 44–54 2 5 30 10 3

Work out an estimation for the mean of the scores.

Q2:

The following table represents the time taken by 35 people to travel to work.

 Time (Minutes) Frequency 5–9 10–14 15–19 20–24 10 15 7 3

Calculate an estimation for the mean number of minutes people take to travel to work. Round your answer to two decimal places.

Q3:

In an extract of a book, the number of words per sentence was counted. Find the missing numbers in the following table.

Number of WordsFrequencyMidpointFrequency Midpoint
1–715460
8–1420
15–214518810
22–2847251,175
29–352332736
36–421039390
• A14, 280
• B8, 160
• C12, 240
• D10, 200
• E11, 220

Use the previous table to calculate an estimate for the mean number of words. Give your answer to two decimal places.