Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 30

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 30

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 7, 25, 11, 27, 22, 24, 24
Mean, median and mode of: 23, 5, 20, 24, 22, 22
Mean, median and mode of: 17, 23, 3, 6, 11, 12, 3
Mean, median and mode of: 23, 22, 7, 5, 17, 22, 22
Mean, median and mode of: 25, 19, 11, 18, 14, 6, 9, 18
Mean, median and mode of: 18, 30, 6, 27, 26, 4, 27

with answer key

Mean

Class 6–7 · Worksheet 2 · set 30

Name:Date:Score: / 8

Find the mean.

Mean of: 12, 56, 56, 37, 56
Mean of: 9, 39, 17, 54, 21, 56, 24, 41
Mean of: 13, 21, 7, 35, 42
Mean of: 15, 36, 60, 58, 22
Mean of: 26, 9, 60, 28, 36, 10, 6, 16
Mean of: 48, 50, 26, 9, 7
Mean of: 14, 24, 7, 11, 44, 9
Mean of: 32, 36, 24, 16, 20

with answer key

Median

Class 7–8 · Worksheet 3 · set 30

Name:Date:Score: / 8

Find the median.

Median of: 36, 39, 85, 83, 15, 43
Median of: 12, 62, 51, 84, 85, 64, 37, 41, 62
Median of: 42, 14, 35, 31, 25, 87, 49, 70, 48
Median of: 65, 86, 19, 40, 65, 80, 67
Median of: 63, 20, 84, 16, 76, 77, 20, 32, 8
Median of: 77, 67, 81, 83, 52, 61, 48, 68, 77, 39
Median of: 20, 41, 58, 33, 5, 11, 66, 90, 29, 53
Median of: 85, 17, 66, 59, 10, 49

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 30

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 2 7 12 17 22
f 12 3 9 8 10
x 6 10 14 18 22
f 9 8 7 3 2
x 9 13 17 21 25
f 9 12 6 2 9
x 3 5 7 9 11
f 5 8 9 5 4

x	2	7	12	17	22
f	12	3	9	8	10

x	6	10	14	18	22
f	9	8	7	3	2

x	9	13	17	21	25
f	9	12	6	2	9

x	3	5	7	9	11
f	5	8	9	5	4

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 30

Name:Date:Score: / 3

Find the mean.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 3 6 3 14 14
Class 30–40 40–50 50–60 60–70 70–80
Frequency 6 10 4 5 14
Class 0–5 5–10 10–15 15–20 20–25
Frequency 9 11 10 14 13

Class	10–15	15–20	20–25	25–30	30–35
Frequency	3	6	3	14	14

Class	30–40	40–50	50–60	60–70	70–80
Frequency	6	10	4	5	14

Class	0–5	5–10	10–15	15–20	20–25
Frequency	9	11	10	14	13

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 30

Name:Date:Score: / 3

Find the median.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 10 7 14 5 8
Class 5–10 10–15 15–20 20–25 25–30
Frequency 3 9 14 11 7
Class 20–40 40–60 60–80 80–100 100–120
Frequency 11 4 11 3 8

Class	0–10	10–20	20–30	30–40	40–50
Frequency	10	7	14	5	8

Class	5–10	10–15	15–20	20–25	25–30
Frequency	3	9	14	11	7

Class	20–40	40–60	60–80	80–100	100–120
Frequency	11	4	11	3	8

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 30

Name:Date:Score: / 3

Find the mode.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 8 13 9 10 9
Class 40–60 60–80 80–100 100–120 120–140
Frequency 10 13 6 11 4
Class 40–60 60–80 80–100 100–120 120–140
Frequency 11 8 6 13 10

Class	10–20	20–30	30–40	40–50	50–60
Frequency	8	13	9	10	9

Class	40–60	60–80	80–100	100–120	120–140
Frequency	10	13	6	11	4

Class	40–60	60–80	80–100	100–120	120–140
Frequency	11	8	6	13	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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