Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 9

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 9

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 26, 16, 15, 16, 29, 16
Mean, median and mode of: 5, 16, 20, 21, 14, 27, 5
Mean, median and mode of: 14, 30, 8, 16, 25, 24, 14
Mean, median and mode of: 27, 8, 26, 20, 20
Mean, median and mode of: 15, 12, 12, 21, 12
Mean, median and mode of: 3, 22, 28, 14, 30, 21, 19, 28

with answer key

Mean

Class 6–7 · Worksheet 2 · set 9

Name:Date:Score: / 8

Find the mean.

Mean of: 11, 60, 36, 55, 45
Mean of: 24, 47, 58, 52, 16, 10
Mean of: 18, 17, 19, 40, 53, 10, 17, 43
Mean of: 27, 37, 9, 5, 47
Mean of: 48, 30, 45, 30, 27, 26
Mean of: 12, 15, 51, 40, 50
Mean of: 54, 19, 46, 24, 37, 55, 19, 16
Mean of: 32, 46, 26, 34, 49, 29, 5, 59

with answer key

Median

Class 7–8 · Worksheet 3 · set 9

Name:Date:Score: / 8

Find the median.

Median of: 21, 65, 20, 64, 58, 36, 56
Median of: 13, 74, 69, 53, 65
Median of: 75, 72, 34, 66, 20, 29, 64
Median of: 58, 18, 82, 59, 34
Median of: 71, 75, 77, 83, 14, 73, 35
Median of: 89, 11, 18, 82, 61, 41, 44, 78
Median of: 55, 83, 30, 49, 13, 74, 8, 10, 48
Median of: 89, 66, 44, 10, 90, 85, 75, 32, 50

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 9

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

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

x	3	5	7	9	11
f	12	7	5	4	10

x	8	11	14	17	20
f	1	6	10	8	5

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

x	5	7	9	11	13
f	6	1	7	8	12

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 9

Name:Date:Score: / 3

Find the mean.

Class 60–80 80–100 100–120 120–140 140–160
Frequency 14 2 5 5 14
Class 60–80 80–100 100–120 120–140 140–160
Frequency 3 4 3 6 8
Class 0–10 10–20 20–30 30–40 40–50
Frequency 2 11 2 3 5

Class	60–80	80–100	100–120	120–140	140–160
Frequency	14	2	5	5	14

Class	60–80	80–100	100–120	120–140	140–160
Frequency	3	4	3	6	8

Class	0–10	10–20	20–30	30–40	40–50
Frequency	2	11	2	3	5

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 9

Name:Date:Score: / 3

Find the median.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 15 13 2 13 9
Class 15–20 20–25 25–30 30–35 35–40
Frequency 4 3 15 14 10
Class 0–5 5–10 10–15 15–20 20–25
Frequency 9 7 12 6 14

Class	0–10	10–20	20–30	30–40	40–50
Frequency	15	13	2	13	9

Class	15–20	20–25	25–30	30–35	35–40
Frequency	4	3	15	14	10

Class	0–5	5–10	10–15	15–20	20–25
Frequency	9	7	12	6	14

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 9

Name:Date:Score: / 3

Find the mode.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 11 4 9 8 8
Class 10–20 20–30 30–40 40–50 50–60
Frequency 5 2 8 10 7
Class 15–20 20–25 25–30 30–35 35–40
Frequency 14 10 2 9 11

Class	30–40	40–50	50–60	60–70	70–80
Frequency	11	4	9	8	8

Class	10–20	20–30	30–40	40–50	50–60
Frequency	5	2	8	10	7

Class	15–20	20–25	25–30	30–35	35–40
Frequency	14	10	2	9	11

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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