1. Frequency Tables & Tally Charts – Worksheet A
The worksheet is in a 2 sizes.

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5. Grouped Frequency Tables
Mark Tally Frequency
0 to 9 4
10 to 19 5
20 to 29 6
30 to 39 2
40 to 49 3
Mrs Jenson collected the results from 20 maths tests.
She wrote the results like this.
Simplify the results and group them in the frequency table.
21, 27, 31, 6, 44, 26, 18, 5, 17, 25,
43, 22, 19, 11, 10, 20, 31, 41, 0, 7
Dr Lewis recorded the heights of 27 patients (in cm).
128, 65, 82, 110, 126, 108, 90, 88, 71, 122, 99, 80, 120,
125, 111, 82, 61, 128, 130, 70, 61, 74, 82, 66, 121, 115, 83
Height, h (cm) Tally Frequency
60 < h ⩽ 70 5
70 < h ⩽ 80 3
80 < h ⩽ 90 6
90 < h ⩽ 100 1
100 < h ⩽ 110 2
110 < h ⩽ 120 3
120 < h ⩽ 130 7
Total 27
①
②
What is the modal group?
120 < h ⩽ 130
20 to 29
What is the modal group?
The pass mark was 25. How many students do you think passed?
He decided to put the data into 7 groups.
Which group would someone with a height of 120 cm go in to?
Complete the tally chart for this information.
Using only the table,
how could Dr Lewis estimate
a median and a mean?
Use midpoints.
≈ 8
Answers

6. Grouped Frequency Tables
Mark Tally Frequency
0 to 9
10 to 19
20 to 29
30 to 39
40 to 49
Mrs Jenson collected the results from 20 maths tests.
She wrote the results like this.
Simplify the results and group them in the frequency table.
21, 27, 31, 6, 44, 26, 18, 5, 17, 25,
43, 22, 19, 11, 10, 20, 31, 41, 0, 7
Dr Lewis recorded the heights of 27 patients (in cm).
128, 65, 82, 110, 126, 108, 90, 88, 71, 122, 99, 80, 120,
125, 111, 82, 61, 128, 130, 70, 61, 74, 82, 66, 121, 115, 83
Height, h (cm) Tally Frequency
60 < h ⩽ 70
70 < h ⩽ 80
80 < h ⩽ 90
90 < h ⩽ 100
100 < h ⩽ 110
110 < h ⩽ 120
120 < h ⩽ 130
Total
①
②
What is the modal group?
What is the modal group?
The pass mark was 25. How many students do you think passed?
He decided to put the data into 7 groups.
Which group would someone with a height of 120 cm go in to?
Complete the tally chart for this information.
Using only the table,
how could Dr Lewis estimate
a median and a mean?
Grouped Frequency Tables
Mark Tally Frequency
0 to 9
10 to 19
20 to 29
30 to 39
40 to 49
Mrs Jenson collected the results from 20 maths tests.
She wrote the results like this.
Simplify the results and group them in the frequency table.
21, 27, 31, 6, 44, 26, 18, 5, 17, 25,
43, 22, 19, 11, 10, 20, 31, 41, 0, 7
Dr Lewis recorded the heights of 27 patients (in cm).
128, 65, 82, 110, 126, 108, 90, 88, 71, 122, 99, 80, 120,
125, 111, 82, 61, 128, 130, 70, 61, 74, 82, 66, 121, 115, 83
Height, h (cm) Tally Frequency
60 < h ⩽ 70
70 < h ⩽ 80
80 < h ⩽ 90
90 < h ⩽ 100
100 < h ⩽ 110
110 < h ⩽ 120
120 < h ⩽ 130
Total
①
②
What is the modal group?
What is the modal group?
The pass mark was 25. How many students do you think passed?
He decided to put the data into 7 groups.
Which group would someone with a height of 120 cm go in to?
Complete the tally chart for this information.
Using only the table,
how could Dr Lewis estimate
a median and a mean?

8. Questions?
Comments?
Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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tom@goteachmaths.co.uk