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.

Scores0–1011–2122–3233–4344–54
Frequency2530103

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)59101415192024
Frequency101573

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.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.