Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 57

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 57

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 11, 9, 2, 24, 29, 17, 2, 11, 2
Mean, median and mode of: 22, 22, 18, 16, 22
Mean, median and mode of: 16, 10, 16, 24, 16
Mean, median and mode of: 24, 2, 8, 5, 7, 3, 17, 30, 24
Mean, median and mode of: 14, 18, 2, 8, 4, 30, 9, 14
Mean, median and mode of: 30, 17, 25, 10, 29, 17

with answer key

Mean

Class 6–7 · Worksheet 2 · set 57

Name:Date:Score: / 8

Find the mean.

Mean of: 13, 57, 36, 38, 23, 25, 31
Mean of: 5, 54, 56, 31, 54, 60
Mean of: 24, 11, 17, 13, 15, 26
Mean of: 35, 32, 39, 40, 51, 40, 24, 57
Mean of: 7, 52, 37, 21, 36
Mean of: 36, 20, 10, 59, 47, 27, 21
Mean of: 25, 33, 8, 34, 5
Mean of: 53, 26, 44, 55, 33, 55

with answer key

Median

Class 7–8 · Worksheet 3 · set 57

Name:Date:Score: / 8

Find the median.

Median of: 88, 10, 35, 19, 73
Median of: 11, 86, 40, 34, 30, 9, 53, 14
Median of: 83, 17, 39, 66, 5, 51, 89, 61, 65, 84
Median of: 78, 13, 82, 56, 62, 80, 35, 6, 68, 21
Median of: 49, 73, 63, 80, 41, 90
Median of: 81, 20, 6, 8, 69, 61, 62, 5, 47, 85
Median of: 24, 70, 76, 75, 5
Median of: 49, 41, 58, 81, 68

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 57

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 2 5 8 11 14
f 10 3 6 8 11
x 7 12 17 22 27
f 10 10 11 7 8
x 1 2 3 4 5
f 4 2 12 6 1
x 7 12 17 22 27
f 11 3 10 3 10

x	2	5	8	11	14
f	10	3	6	8	11

x	7	12	17	22	27
f	10	10	11	7	8

x	1	2	3	4	5
f	4	2	12	6	1

x	7	12	17	22	27
f	11	3	10	3	10

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 57

Name:Date:Score: / 3

Find the mean.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 4 11 4 5 15
Class 10–15 15–20 20–25 25–30 30–35
Frequency 11 12 13 13 6
Class 60–80 80–100 100–120 120–140 140–160
Frequency 2 9 14 8 7

Class	0–10	10–20	20–30	30–40	40–50
Frequency	4	11	4	5	15

Class	10–15	15–20	20–25	25–30	30–35
Frequency	11	12	13	13	6

Class	60–80	80–100	100–120	120–140	140–160
Frequency	2	9	14	8	7

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 57

Name:Date:Score: / 3

Find the median.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 3 11 14 5 4
Class 10–15 15–20 20–25 25–30 30–35
Frequency 13 7 9 11 10
Class 40–60 60–80 80–100 100–120 120–140
Frequency 6 11 15 11 14

Class	10–15	15–20	20–25	25–30	30–35
Frequency	3	11	14	5	4

Class	10–15	15–20	20–25	25–30	30–35
Frequency	13	7	9	11	10

Class	40–60	60–80	80–100	100–120	120–140
Frequency	6	11	15	11	14

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 57

Name:Date:Score: / 3

Find the mode.

Class 0–5 5–10 10–15 15–20 20–25
Frequency 8 5 7 9 15
Class 5–10 10–15 15–20 20–25 25–30
Frequency 15 12 12 11 2
Class 0–5 5–10 10–15 15–20 20–25
Frequency 8 6 14 8 7

Class	0–5	5–10	10–15	15–20	20–25
Frequency	8	5	7	9	15

Class	5–10	10–15	15–20	20–25	25–30
Frequency	15	12	12	11	2

Class	0–5	5–10	10–15	15–20	20–25
Frequency	8	6	14	8	7

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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