Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 87

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 87

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 7, 6, 22, 25, 30, 24, 28, 14, 25
Mean, median and mode of: 25, 23, 2, 22, 21, 3, 23
Mean, median and mode of: 24, 22, 5, 27, 14, 13, 22
Mean, median and mode of: 20, 15, 24, 10, 24
Mean, median and mode of: 27, 13, 9, 15, 4, 8, 22, 15
Mean, median and mode of: 29, 13, 19, 18, 16, 30, 26, 12, 19

with answer key

Mean

Class 6–7 · Worksheet 2 · set 87

Name:Date:Score: / 8

Find the mean.

Mean of: 7, 45, 26, 16, 25, 25
Mean of: 19, 41, 7, 48, 43, 53
Mean of: 37, 30, 56, 49, 59, 50
Mean of: 8, 46, 52, 35, 48, 52, 55, 13
Mean of: 10, 14, 52, 9, 23
Mean of: 47, 24, 55, 28, 15, 28, 48, 49
Mean of: 8, 14, 19, 55, 28, 55, 35
Mean of: 9, 39, 19, 31, 48, 53, 46, 38

with answer key

Median

Class 7–8 · Worksheet 3 · set 87

Name:Date:Score: / 8

Find the median.

Median of: 56, 86, 36, 51, 32, 59, 44, 24
Median of: 47, 52, 13, 23, 52, 9, 78, 20
Median of: 90, 50, 53, 34, 36
Median of: 71, 81, 60, 10, 16, 41, 46, 36, 64
Median of: 33, 14, 30, 88, 74, 75, 13, 89
Median of: 24, 45, 7, 60, 53, 59, 20, 59, 15
Median of: 50, 26, 80, 37, 38, 56, 40, 47, 23
Median of: 67, 19, 56, 7, 36

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 87

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 4 7 10 13 16
f 3 7 4 1 7
x 6 7 8 9 10
f 6 1 11 1 1
x 6 9 12 15 18
f 11 2 7 10 10
x 8 11 14 17 20
f 1 12 5 10 12

x	4	7	10	13	16
f	3	7	4	1	7

x	6	7	8	9	10
f	6	1	11	1	1

x	6	9	12	15	18
f	11	2	7	10	10

x	8	11	14	17	20
f	1	12	5	10	12

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 87

Name:Date:Score: / 3

Find the mean.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 15 7 5 9 7
Class 15–20 20–25 25–30 30–35 35–40
Frequency 6 6 4 4 3
Class 0–10 10–20 20–30 30–40 40–50
Frequency 3 10 12 2 2

Class	20–40	40–60	60–80	80–100	100–120
Frequency	15	7	5	9	7

Class	15–20	20–25	25–30	30–35	35–40
Frequency	6	6	4	4	3

Class	0–10	10–20	20–30	30–40	40–50
Frequency	3	10	12	2	2

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 87

Name:Date:Score: / 3

Find the median.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 15 10 10 15 2
Class 0–20 20–40 40–60 60–80 80–100
Frequency 6 7 15 13 11
Class 30–40 40–50 50–60 60–70 70–80
Frequency 12 10 12 8 2

Class	10–15	15–20	20–25	25–30	30–35
Frequency	15	10	10	15	2

Class	0–20	20–40	40–60	60–80	80–100
Frequency	6	7	15	13	11

Class	30–40	40–50	50–60	60–70	70–80
Frequency	12	10	12	8	2

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 87

Name:Date:Score: / 3

Find the mode.

Class 0–5 5–10 10–15 15–20 20–25
Frequency 12 13 9 8 5
Class 20–40 40–60 60–80 80–100 100–120
Frequency 10 9 3 7 13
Class 0–5 5–10 10–15 15–20 20–25
Frequency 11 2 15 9 4

Class	0–5	5–10	10–15	15–20	20–25
Frequency	12	13	9	8	5

Class	20–40	40–60	60–80	80–100	100–120
Frequency	10	9	3	7	13

Class	0–5	5–10	10–15	15–20	20–25
Frequency	11	2	15	9	4

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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