Lesson: Grouped Frequency Tables: Estimating the Mean

Mathematics

In this lesson, we will learn how to estimate the mean using grouped frequency tables.

Worksheet: 3 Questions

Q1:

The table shows students’ math test scores.

Scores	0–10	11–21	22–32	33–43	44–54
Frequency	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	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 Words	Frequency	Midpoint	Frequency Midpoint
1–7	15	4	60
8–14	20
15–21	45	18	810
22–28	47	25	1,175
29–35	23	32	736
36–42	10	39	390

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

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