Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 25

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 25

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 3, 20, 27, 6, 21, 26, 15, 6
Mean, median and mode of: 2, 28, 5, 28, 28
Mean, median and mode of: 6, 9, 5, 5, 28, 30, 14, 29, 5
Mean, median and mode of: 24, 16, 4, 5, 14, 2, 23, 2
Mean, median and mode of: 22, 6, 15, 18, 19, 6
Mean, median and mode of: 2, 13, 2, 2, 16, 2

with answer key

Mean

Class 6–7 · Worksheet 2 · set 25

Name:Date:Score: / 8

Find the mean.

Mean of: 8, 11, 44, 7, 29
Mean of: 27, 23, 21, 14, 47, 36, 26, 28
Mean of: 10, 39, 8, 59, 52, 57, 13
Mean of: 47, 59, 31, 6, 39, 59
Mean of: 43, 40, 43, 15, 20, 27, 38, 52
Mean of: 30, 34, 17, 36, 9, 30, 24
Mean of: 51, 15, 47, 25, 11, 22
Mean of: 20, 30, 11, 57, 25, 46, 11, 5

with answer key

Median

Class 7–8 · Worksheet 3 · set 25

Name:Date:Score: / 8

Find the median.

Median of: 56, 49, 85, 62, 65, 79, 25
Median of: 83, 66, 32, 53, 8, 53
Median of: 68, 27, 54, 58, 21, 70, 61, 24, 73
Median of: 32, 88, 41, 40, 44, 32, 19, 37, 81, 70
Median of: 40, 60, 42, 41, 19, 6, 22, 70, 41, 28
Median of: 90, 59, 11, 29, 69, 90, 50, 60
Median of: 82, 75, 12, 88, 53
Median of: 61, 43, 63, 5, 46, 78, 86

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 25

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 4 8 12 16 20
f 9 3 11 10 3
x 8 9 10 11 12
f 8 12 7 12 7
x 9 10 11 12 13
f 4 1 9 2 4
x 2 4 6 8 10
f 1 10 8 12 12

x	4	8	12	16	20
f	9	3	11	10	3

x	8	9	10	11	12
f	8	12	7	12	7

x	9	10	11	12	13
f	4	1	9	2	4

x	2	4	6	8	10
f	1	10	8	12	12

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 25

Name:Date:Score: / 3

Find the mean.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 5 12 5 9 10
Class 10–15 15–20 20–25 25–30 30–35
Frequency 3 12 2 8 7
Class 40–60 60–80 80–100 100–120 120–140
Frequency 8 10 9 11 13

Class	20–40	40–60	60–80	80–100	100–120
Frequency	5	12	5	9	10

Class	10–15	15–20	20–25	25–30	30–35
Frequency	3	12	2	8	7

Class	40–60	60–80	80–100	100–120	120–140
Frequency	8	10	9	11	13

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 25

Name:Date:Score: / 3

Find the median.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 8 3 6 2 9
Class 5–10 10–15 15–20 20–25 25–30
Frequency 11 3 14 2 8
Class 5–10 10–15 15–20 20–25 25–30
Frequency 14 2 5 10 12

Class	30–40	40–50	50–60	60–70	70–80
Frequency	8	3	6	2	9

Class	5–10	10–15	15–20	20–25	25–30
Frequency	11	3	14	2	8

Class	5–10	10–15	15–20	20–25	25–30
Frequency	14	2	5	10	12

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 25

Name:Date:Score: / 3

Find the mode.

Class 60–80 80–100 100–120 120–140 140–160
Frequency 12 7 8 8 13
Class 30–40 40–50 50–60 60–70 70–80
Frequency 15 13 4 5 14
Class 0–20 20–40 40–60 60–80 80–100
Frequency 6 7 3 15 10

Class	60–80	80–100	100–120	120–140	140–160
Frequency	12	7	8	8	13

Class	30–40	40–50	50–60	60–70	70–80
Frequency	15	13	4	5	14

Class	0–20	20–40	40–60	60–80	80–100
Frequency	6	7	3	15	10

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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