Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 44

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 44

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 24, 30, 22, 10, 21, 30, 8, 3, 30
Mean, median and mode of: 17, 30, 29, 5, 9, 5
Mean, median and mode of: 14, 12, 16, 26, 27, 20, 30, 27
Mean, median and mode of: 24, 16, 12, 14, 14, 24, 15, 24
Mean, median and mode of: 26, 14, 28, 3, 26
Mean, median and mode of: 17, 5, 24, 8, 27, 17

with answer key

Mean

Class 6–7 · Worksheet 2 · set 44

Name:Date:Score: / 8

Find the mean.

Mean of: 46, 15, 7, 37, 23, 35, 10, 50
Mean of: 50, 24, 19, 32, 57, 32, 24, 57
Mean of: 47, 44, 22, 38, 54, 56, 17
Mean of: 31, 60, 6, 42, 58, 6, 36, 27
Mean of: 28, 37, 35, 8, 25, 45, 38
Mean of: 45, 38, 13, 27, 7, 25, 51, 24
Mean of: 47, 9, 42, 35, 44
Mean of: 36, 28, 40, 42, 7

with answer key

Median

Class 7–8 · Worksheet 3 · set 44

Name:Date:Score: / 8

Find the median.

Median of: 46, 50, 20, 57, 16, 86
Median of: 86, 52, 32, 35, 54
Median of: 23, 80, 57, 80, 84, 59, 52, 45, 65, 14
Median of: 32, 90, 75, 50, 18, 19, 32, 57, 85
Median of: 89, 43, 25, 35, 69
Median of: 35, 66, 67, 48, 20, 65, 81
Median of: 50, 41, 85, 37, 90, 78, 35, 31, 74, 75
Median of: 34, 8, 18, 15, 42, 41, 61, 40, 21

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 44

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 9 14 19 24 29
f 4 3 2 2 2
x 9 14 19 24 29
f 8 5 6 2 12
x 7 8 9 10 11
f 1 10 3 5 7
x 3 7 11 15 19
f 4 5 8 9 5

x	9	14	19	24	29
f	4	3	2	2	2

x	9	14	19	24	29
f	8	5	6	2	12

x	7	8	9	10	11
f	1	10	3	5	7

x	3	7	11	15	19
f	4	5	8	9	5

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 44

Name:Date:Score: / 3

Find the mean.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 7 11 4 14 6
Class 0–10 10–20 20–30 30–40 40–50
Frequency 15 8 10 2 8
Class 30–40 40–50 50–60 60–70 70–80
Frequency 6 11 12 14 9

Class	20–40	40–60	60–80	80–100	100–120
Frequency	7	11	4	14	6

Class	0–10	10–20	20–30	30–40	40–50
Frequency	15	8	10	2	8

Class	30–40	40–50	50–60	60–70	70–80
Frequency	6	11	12	14	9

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 44

Name:Date:Score: / 3

Find the median.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 13 15 15 8 9
Class 5–10 10–15 15–20 20–25 25–30
Frequency 11 8 10 9 5
Class 40–60 60–80 80–100 100–120 120–140
Frequency 7 7 13 9 4

Class	5–10	10–15	15–20	20–25	25–30
Frequency	13	15	15	8	9

Class	5–10	10–15	15–20	20–25	25–30
Frequency	11	8	10	9	5

Class	40–60	60–80	80–100	100–120	120–140
Frequency	7	7	13	9	4

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 44

Name:Date:Score: / 3

Find the mode.

Class 20–30 30–40 40–50 50–60 60–70
Frequency 8 11 7 11 12
Class 15–20 20–25 25–30 30–35 35–40
Frequency 5 4 12 13 11
Class 0–5 5–10 10–15 15–20 20–25
Frequency 12 8 13 15 14

Class	20–30	30–40	40–50	50–60	60–70
Frequency	8	11	7	11	12

Class	15–20	20–25	25–30	30–35	35–40
Frequency	5	4	12	13	11

Class	0–5	5–10	10–15	15–20	20–25
Frequency	12	8	13	15	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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