Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 22

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 22

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 6, 5, 8, 7, 30, 18, 2, 18
Mean, median and mode of: 18, 19, 4, 21, 13, 5, 25, 5
Mean, median and mode of: 11, 28, 16, 26, 11
Mean, median and mode of: 3, 7, 25, 13, 25
Mean, median and mode of: 19, 20, 14, 15, 26, 22, 28, 28
Mean, median and mode of: 13, 9, 21, 26, 7, 18, 12, 13

with answer key

Mean

Class 6–7 · Worksheet 2 · set 22

Name:Date:Score: / 8

Find the mean.

Mean of: 29, 5, 56, 22, 37, 10
Mean of: 34, 53, 29, 33, 32, 11, 34
Mean of: 46, 38, 54, 26, 59, 50
Mean of: 23, 46, 14, 56, 16, 19, 5, 18
Mean of: 40, 29, 57, 43, 57
Mean of: 5, 19, 24, 13, 55, 17, 50
Mean of: 58, 35, 31, 26, 47
Mean of: 23, 20, 40, 32, 24, 54

with answer key

Median

Class 7–8 · Worksheet 3 · set 22

Name:Date:Score: / 8

Find the median.

Median of: 45, 56, 75, 20, 22, 35
Median of: 10, 87, 81, 8, 70, 40, 87, 44, 21, 43
Median of: 67, 52, 60, 12, 69, 42, 74, 55, 49
Median of: 70, 14, 8, 84, 58, 5, 53
Median of: 79, 40, 19, 49, 26
Median of: 45, 85, 83, 62, 54, 50, 80, 34, 22, 89
Median of: 50, 6, 81, 46, 60
Median of: 38, 44, 62, 36, 59, 48, 41, 27, 52, 57

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 22

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 6 7 8 9 10
f 6 10 6 10 8
x 9 12 15 18 21
f 5 4 4 1 11
x 3 7 11 15 19
f 11 6 3 2 2
x 3 6 9 12 15
f 4 9 9 5 7

x	6	7	8	9	10
f	6	10	6	10	8

x	9	12	15	18	21
f	5	4	4	1	11

x	3	7	11	15	19
f	11	6	3	2	2

x	3	6	9	12	15
f	4	9	9	5	7

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 22

Name:Date:Score: / 3

Find the mean.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 9 3 9 3 13
Class 0–20 20–40 40–60 60–80 80–100
Frequency 14 15 10 14 12
Class 30–40 40–50 50–60 60–70 70–80
Frequency 11 14 13 4 12

Class	20–40	40–60	60–80	80–100	100–120
Frequency	9	3	9	3	13

Class	0–20	20–40	40–60	60–80	80–100
Frequency	14	15	10	14	12

Class	30–40	40–50	50–60	60–70	70–80
Frequency	11	14	13	4	12

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 22

Name:Date:Score: / 3

Find the median.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 13 4 4 7 3
Class 5–10 10–15 15–20 20–25 25–30
Frequency 3 8 11 5 10
Class 30–40 40–50 50–60 60–70 70–80
Frequency 11 6 10 7 12

Class	15–20	20–25	25–30	30–35	35–40
Frequency	13	4	4	7	3

Class	5–10	10–15	15–20	20–25	25–30
Frequency	3	8	11	5	10

Class	30–40	40–50	50–60	60–70	70–80
Frequency	11	6	10	7	12

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 22

Name:Date:Score: / 3

Find the mode.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 8 4 13 7 8
Class 60–80 80–100 100–120 120–140 140–160
Frequency 7 15 10 10 14
Class 30–40 40–50 50–60 60–70 70–80
Frequency 3 7 12 14 8

Class	10–15	15–20	20–25	25–30	30–35
Frequency	8	4	13	7	8

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	15	10	10	14

Class	30–40	40–50	50–60	60–70	70–80
Frequency	3	7	12	14	8

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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