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

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 10

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 2, 10, 13, 22, 22
Mean, median and mode of: 26, 21, 16, 6, 3, 9, 13, 19, 26
Mean, median and mode of: 23, 4, 6, 24, 8, 24
Mean, median and mode of: 10, 21, 12, 9, 27, 18, 11, 29, 27
Mean, median and mode of: 25, 23, 10, 22, 23, 24, 22, 6, 23
Mean, median and mode of: 4, 19, 6, 22, 20, 25, 20

with answer key

Mean

Class 6–7 · Worksheet 2 · set 10

Name:Date:Score: / 8

Find the mean.

Mean of: 48, 9, 40, 46, 39
Mean of: 17, 22, 37, 58, 38, 52, 25, 43
Mean of: 19, 16, 46, 35, 39, 18
Mean of: 48, 17, 53, 26, 31, 35
Mean of: 9, 22, 42, 59, 5, 57
Mean of: 50, 31, 15, 5, 17, 49, 30
Mean of: 55, 11, 33, 22, 14, 51, 12, 23
Mean of: 13, 48, 53, 10, 43, 52, 21, 38

with answer key

Median

Class 7–8 · Worksheet 3 · set 10

Name:Date:Score: / 8

Find the median.

Median of: 60, 36, 20, 72, 6, 71, 82
Median of: 16, 84, 74, 52, 35, 34, 9
Median of: 10, 64, 62, 72, 65, 6, 87
Median of: 47, 57, 52, 53, 41, 17, 68, 41
Median of: 33, 61, 19, 65, 72, 87, 74, 25
Median of: 51, 34, 74, 71, 77, 66, 73
Median of: 51, 45, 63, 69, 78, 70
Median of: 26, 50, 54, 83, 8, 58, 63, 34

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 10

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 3 8 13 18 23
f 7 2 12 5 10
x 6 10 14 18 22
f 3 9 11 6 11
x 2 3 4 5 6
f 6 4 10 2 6
x 3 8 13 18 23
f 6 11 1 7 3

x	3	8	13	18	23
f	7	2	12	5	10

x	6	10	14	18	22
f	3	9	11	6	11

x	2	3	4	5	6
f	6	4	10	2	6

x	3	8	13	18	23
f	6	11	1	7	3

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 10

Name:Date:Score: / 3

Find the mean.

Class 60–80 80–100 100–120 120–140 140–160
Frequency 7 13 12 10 4
Class 15–20 20–25 25–30 30–35 35–40
Frequency 3 5 15 2 2
Class 0–5 5–10 10–15 15–20 20–25
Frequency 10 6 4 12 13

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	13	12	10	4

Class	15–20	20–25	25–30	30–35	35–40
Frequency	3	5	15	2	2

Class	0–5	5–10	10–15	15–20	20–25
Frequency	10	6	4	12	13

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 10

Name:Date:Score: / 3

Find the median.

Class 0–5 5–10 10–15 15–20 20–25
Frequency 3 15 5 5 8
Class 15–20 20–25 25–30 30–35 35–40
Frequency 14 2 8 2 13
Class 0–20 20–40 40–60 60–80 80–100
Frequency 11 11 6 14 8

Class	0–5	5–10	10–15	15–20	20–25
Frequency	3	15	5	5	8

Class	15–20	20–25	25–30	30–35	35–40
Frequency	14	2	8	2	13

Class	0–20	20–40	40–60	60–80	80–100
Frequency	11	11	6	14	8

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 10

Name:Date:Score: / 3

Find the mode.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 6 6 11 11 13
Class 5–10 10–15 15–20 20–25 25–30
Frequency 12 14 15 10 8
Class 40–60 60–80 80–100 100–120 120–140
Frequency 6 13 6 5 14

Class	15–20	20–25	25–30	30–35	35–40
Frequency	6	6	11	11	13

Class	5–10	10–15	15–20	20–25	25–30
Frequency	12	14	15	10	8

Class	40–60	60–80	80–100	100–120	120–140
Frequency	6	13	6	5	14

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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