Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 78

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 78

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 26, 20, 22, 11, 22
Mean, median and mode of: 24, 7, 23, 3, 22, 2, 2
Mean, median and mode of: 29, 17, 6, 21, 17
Mean, median and mode of: 2, 29, 24, 20, 14, 29
Mean, median and mode of: 4, 3, 15, 30, 24, 3
Mean, median and mode of: 18, 11, 22, 24, 4, 3, 10, 20, 20

with answer key

Mean

Class 6–7 · Worksheet 2 · set 78

Name:Date:Score: / 8

Find the mean.

Mean of: 24, 60, 46, 58, 48, 57, 57
Mean of: 40, 27, 6, 43, 14
Mean of: 36, 48, 44, 57, 24, 36, 46
Mean of: 60, 37, 53, 56, 33, 31, 15
Mean of: 24, 48, 49, 51, 25
Mean of: 6, 13, 52, 31, 53, 22
Mean of: 36, 21, 19, 45, 14
Mean of: 59, 33, 46, 35, 18

with answer key

Median

Class 7–8 · Worksheet 3 · set 78

Name:Date:Score: / 8

Find the median.

Median of: 51, 87, 64, 29, 6, 56
Median of: 15, 40, 37, 44, 89, 41, 10
Median of: 61, 58, 40, 28, 17, 44
Median of: 65, 13, 73, 32, 46, 49, 7, 35, 7, 50
Median of: 66, 51, 5, 87, 18, 58, 54
Median of: 25, 65, 85, 40, 63, 15, 11, 19
Median of: 12, 15, 66, 8, 53
Median of: 87, 14, 16, 72, 44, 48, 7, 77

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 78

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 10 11 12 13 14
f 1 3 3 6 5
x 2 3 4 5 6
f 11 11 2 8 9
x 5 9 13 17 21
f 2 5 7 6 10
x 5 7 9 11 13
f 12 6 6 1 10

x	10	11	12	13	14
f	1	3	3	6	5

x	2	3	4	5	6
f	11	11	2	8	9

x	5	9	13	17	21
f	2	5	7	6	10

x	5	7	9	11	13
f	12	6	6	1	10

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 78

Name:Date:Score: / 3

Find the mean.

Class 40–60 60–80 80–100 100–120 120–140
Frequency 10 6 13 12 3
Class 60–80 80–100 100–120 120–140 140–160
Frequency 9 7 13 4 9
Class 20–40 40–60 60–80 80–100 100–120
Frequency 2 11 7 14 14

Class	40–60	60–80	80–100	100–120	120–140
Frequency	10	6	13	12	3

Class	60–80	80–100	100–120	120–140	140–160
Frequency	9	7	13	4	9

Class	20–40	40–60	60–80	80–100	100–120
Frequency	2	11	7	14	14

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 78

Name:Date:Score: / 3

Find the median.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 12 13 7 15 3
Class 30–40 40–50 50–60 60–70 70–80
Frequency 10 5 11 5 7
Class 5–10 10–15 15–20 20–25 25–30
Frequency 6 10 11 13 13

Class	20–40	40–60	60–80	80–100	100–120
Frequency	12	13	7	15	3

Class	30–40	40–50	50–60	60–70	70–80
Frequency	10	5	11	5	7

Class	5–10	10–15	15–20	20–25	25–30
Frequency	6	10	11	13	13

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 78

Name:Date:Score: / 3

Find the mode.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 4 13 13 14 6
Class 40–60 60–80 80–100 100–120 120–140
Frequency 11 12 10 4 2
Class 20–30 30–40 40–50 50–60 60–70
Frequency 4 2 7 13 8

Class	0–10	10–20	20–30	30–40	40–50
Frequency	4	13	13	14	6

Class	40–60	60–80	80–100	100–120	120–140
Frequency	11	12	10	4	2

Class	20–30	30–40	40–50	50–60	60–70
Frequency	4	2	7	13	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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