Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 76

Mean, median and mode questions — statistics worksheets

Free mean, median and mode worksheets: raw data (Class 6–8), frequency tables (Class 9) and grouped data mean, median and mode (statistics Class 10) — new numbers every set, with answers.

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Mean = sum of values ÷ number of values. Median = middle value after arranging in order (average of the two middle ones if the count is even). Mode = the value that occurs most often.
Frequency table: mean = Σfx ÷ Σf.
Grouped data (Class 10): mean = Σf·x ÷ Σf with x = class mark; median = l + ((n/2 − cf) ÷ f) × h; mode = l + ((f₁ − f₀) ÷ (2f₁ − f₀ − f₂)) × h.

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Mean, median and mode (Class 6–8)Mean (Class 6–7)Median (Class 7–8)Mean of a frequency table (Class 9)Grouped data — mean (Class 10)Grouped data — median (Class 10)Grouped data — mode (Class 10)

Mean, median and mode

Class 6–8 · Worksheet 1 · set 76

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 20, 29, 29, 4, 21, 16, 29
Mean, median and mode of: 4, 16, 9, 28, 24, 22, 2, 28
Mean, median and mode of: 26, 2, 29, 9, 26
Mean, median and mode of: 4, 26, 12, 12, 12
Mean, median and mode of: 19, 30, 23, 4, 23
Mean, median and mode of: 5, 20, 21, 12, 21, 15, 2, 21, 12

with answer key

Mean

Class 6–7 · Worksheet 2 · set 76

Name:Date:Score: / 8

Find the mean.

Mean of: 25, 10, 36, 29, 7, 53, 48, 59
Mean of: 47, 42, 38, 15, 57, 48, 28, 58
Mean of: 24, 55, 11, 40, 60, 15
Mean of: 45, 24, 26, 14, 9, 45, 32
Mean of: 52, 26, 57, 28, 59
Mean of: 31, 52, 15, 7, 28, 6
Mean of: 58, 56, 43, 34, 41, 17
Mean of: 19, 23, 39, 33, 14, 57

with answer key

Median

Class 7–8 · Worksheet 3 · set 76

Name:Date:Score: / 8

Find the median.

Median of: 29, 42, 71, 80, 24, 23
Median of: 59, 52, 66, 70, 48, 90, 56, 33, 60
Median of: 13, 66, 69, 12, 34, 15
Median of: 40, 77, 58, 66, 67, 71, 86, 20, 10, 14
Median of: 83, 65, 31, 89, 29, 71
Median of: 64, 27, 64, 68, 81, 20, 90
Median of: 67, 46, 39, 73, 71, 55, 69, 83, 43, 78
Median of: 17, 12, 85, 13, 46, 65, 36, 6

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 76

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 5 8 11 14 17
f 2 8 2 5 5
x 6 9 12 15 18
f 11 8 3 1 8
x 2 3 4 5 6
f 2 7 7 5 9
x 8 11 14 17 20
f 7 2 7 6 8

x	5	8	11	14	17
f	2	8	2	5	5

x	6	9	12	15	18
f	11	8	3	1	8

x	2	3	4	5	6
f	2	7	7	5	9

x	8	11	14	17	20
f	7	2	7	6	8

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 76

Name:Date:Score: / 3

Find the mean.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 10 9 7 13 10
Class 0–20 20–40 40–60 60–80 80–100
Frequency 14 12 5 10 7
Class 60–80 80–100 100–120 120–140 140–160
Frequency 7 12 4 3 6

Class	20–40	40–60	60–80	80–100	100–120
Frequency	10	9	7	13	10

Class	0–20	20–40	40–60	60–80	80–100
Frequency	14	12	5	10	7

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	12	4	3	6

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 76

Name:Date:Score: / 3

Find the median.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 14 15 5 8 8
Class 60–80 80–100 100–120 120–140 140–160
Frequency 7 3 5 14 2
Class 0–10 10–20 20–30 30–40 40–50
Frequency 7 15 6 3 10

Class	0–10	10–20	20–30	30–40	40–50
Frequency	14	15	5	8	8

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	3	5	14	2

Class	0–10	10–20	20–30	30–40	40–50
Frequency	7	15	6	3	10

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 76

Name:Date:Score: / 3

Find the mode.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 10 9 2 13 5
Class 20–30 30–40 40–50 50–60 60–70
Frequency 4 4 6 10 14
Class 20–30 30–40 40–50 50–60 60–70
Frequency 3 13 8 15 9

Class	0–20	20–40	40–60	60–80	80–100
Frequency	10	9	2	13	5

Class	20–30	30–40	40–50	50–60	60–70
Frequency	4	4	6	10	14

Class	20–30	30–40	40–50	50–60	60–70
Frequency	3	13	8	15	9

with answer key

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Questions

What is the empirical relation between mean, median and mode?

3 × median = mode + 2 × mean (approximately), used in Class 10 statistics.

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Mean, median and mode questions — statistics worksheets

💡 Learn it first

📊 The worksheets

Mean, median and mode

✅ Answer key — Mean, median and mode

Mean

✅ Answer key — Mean

Median

✅ Answer key — Median

Mean of a frequency table

✅ Answer key — Mean of a frequency table

Grouped data — mean

✅ Answer key — Grouped data — mean

Grouped data — median

✅ Answer key — Grouped data — median

Grouped data — mode

✅ Answer key — Grouped data — mode

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