Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 40

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 40

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 7, 28, 12, 3, 21, 24, 12
Mean, median and mode of: 8, 28, 24, 26, 19, 25, 16, 24
Mean, median and mode of: 23, 4, 7, 22, 23, 11, 23
Mean, median and mode of: 7, 9, 20, 24, 10, 9
Mean, median and mode of: 15, 23, 13, 20, 29, 21, 13
Mean, median and mode of: 24, 21, 5, 7, 25, 4, 28, 28, 28

with answer key

Mean

Class 6–7 · Worksheet 2 · set 40

Name:Date:Score: / 8

Find the mean.

Mean of: 55, 11, 52, 16, 38, 8
Mean of: 54, 21, 21, 40, 21
Mean of: 13, 46, 26, 36, 46
Mean of: 7, 46, 9, 38, 51
Mean of: 18, 53, 31, 21, 27, 21, 34
Mean of: 37, 15, 48, 50, 52, 20, 6, 58
Mean of: 18, 10, 34, 27, 15, 6, 60, 58
Mean of: 53, 28, 52, 20, 54

with answer key

Median

Class 7–8 · Worksheet 3 · set 40

Name:Date:Score: / 8

Find the median.

Median of: 57, 20, 85, 82, 46, 19, 12, 68, 26
Median of: 18, 71, 72, 70, 90, 67, 83, 29, 35, 73
Median of: 15, 32, 70, 60, 11, 84, 79
Median of: 63, 78, 21, 75, 8, 69
Median of: 87, 87, 17, 74, 63, 33, 29
Median of: 36, 84, 12, 31, 63, 80
Median of: 69, 51, 50, 29, 12, 69, 25
Median of: 25, 59, 70, 37, 52, 36, 70, 54, 13

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 40

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 6 9 12 15 18
f 7 6 7 10 8
x 6 9 12 15 18
f 2 6 6 9 6
x 2 7 12 17 22
f 10 1 11 11 8
x 8 13 18 23 28
f 5 8 1 4 6

x	6	9	12	15	18
f	7	6	7	10	8

x	6	9	12	15	18
f	2	6	6	9	6

x	2	7	12	17	22
f	10	1	11	11	8

x	8	13	18	23	28
f	5	8	1	4	6

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 40

Name:Date:Score: / 3

Find the mean.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 3 5 9 13 3
Class 0–20 20–40 40–60 60–80 80–100
Frequency 3 3 13 11 3
Class 0–20 20–40 40–60 60–80 80–100
Frequency 8 5 3 10 3

Class	0–10	10–20	20–30	30–40	40–50
Frequency	3	5	9	13	3

Class	0–20	20–40	40–60	60–80	80–100
Frequency	3	3	13	11	3

Class	0–20	20–40	40–60	60–80	80–100
Frequency	8	5	3	10	3

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 40

Name:Date:Score: / 3

Find the median.

Class 20–30 30–40 40–50 50–60 60–70
Frequency 8 8 14 8 9
Class 60–80 80–100 100–120 120–140 140–160
Frequency 6 8 7 12 12
Class 40–60 60–80 80–100 100–120 120–140
Frequency 5 5 3 4 6

Class	20–30	30–40	40–50	50–60	60–70
Frequency	8	8	14	8	9

Class	60–80	80–100	100–120	120–140	140–160
Frequency	6	8	7	12	12

Class	40–60	60–80	80–100	100–120	120–140
Frequency	5	5	3	4	6

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 40

Name:Date:Score: / 3

Find the mode.

Class 60–80 80–100 100–120 120–140 140–160
Frequency 10 14 15 6 9
Class 0–20 20–40 40–60 60–80 80–100
Frequency 12 5 5 7 2
Class 0–10 10–20 20–30 30–40 40–50
Frequency 13 14 6 14 15

Class	60–80	80–100	100–120	120–140	140–160
Frequency	10	14	15	6	9

Class	0–20	20–40	40–60	60–80	80–100
Frequency	12	5	5	7	2

Class	0–10	10–20	20–30	30–40	40–50
Frequency	13	14	6	14	15

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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