Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 34

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 34

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 16, 18, 26, 30, 9, 19, 21, 19
Mean, median and mode of: 13, 16, 14, 26, 26, 4, 26
Mean, median and mode of: 11, 22, 19, 25, 25
Mean, median and mode of: 4, 9, 3, 18, 24, 16, 10, 15, 18
Mean, median and mode of: 10, 3, 15, 28, 14, 28, 28
Mean, median and mode of: 11, 21, 16, 23, 20, 11, 21, 21

with answer key

Mean

Class 6–7 · Worksheet 2 · set 34

Name:Date:Score: / 8

Find the mean.

Mean of: 48, 35, 29, 46, 37, 16
Mean of: 17, 39, 24, 49, 5, 43
Mean of: 19, 15, 38, 44, 19, 43, 40, 8
Mean of: 38, 18, 35, 24, 58
Mean of: 23, 14, 34, 28, 12, 25, 43, 36
Mean of: 59, 13, 59, 24, 43, 27, 19, 13
Mean of: 36, 30, 28, 58, 48, 32, 59
Mean of: 48, 36, 57, 17, 28, 40

with answer key

Median

Class 7–8 · Worksheet 3 · set 34

Name:Date:Score: / 8

Find the median.

Median of: 49, 70, 67, 43, 78, 60
Median of: 25, 31, 23, 75, 6, 32, 88, 39, 44
Median of: 51, 22, 30, 88, 11, 11, 19, 36, 82
Median of: 28, 70, 86, 24, 33
Median of: 18, 71, 45, 65, 47, 48, 59, 71
Median of: 34, 15, 71, 86, 65, 74, 44
Median of: 42, 63, 64, 50, 26, 29
Median of: 9, 69, 61, 53, 58, 74, 32, 12, 48, 51

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 34

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 8 12 16 20 24
f 5 12 12 12 7
x 2 7 12 17 22
f 7 11 5 7 8
x 4 8 12 16 20
f 11 3 9 8 10
x 2 6 10 14 18
f 4 5 1 4 8

x	8	12	16	20	24
f	5	12	12	12	7

x	2	7	12	17	22
f	7	11	5	7	8

x	4	8	12	16	20
f	11	3	9	8	10

x	2	6	10	14	18
f	4	5	1	4	8

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 34

Name:Date:Score: / 3

Find the mean.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 11 11 5 8 3
Class 10–20 20–30 30–40 40–50 50–60
Frequency 6 14 6 7 10
Class 15–20 20–25 25–30 30–35 35–40
Frequency 8 4 11 15 14

Class	15–20	20–25	25–30	30–35	35–40
Frequency	11	11	5	8	3

Class	10–20	20–30	30–40	40–50	50–60
Frequency	6	14	6	7	10

Class	15–20	20–25	25–30	30–35	35–40
Frequency	8	4	11	15	14

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 34

Name:Date:Score: / 3

Find the median.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 9 10 15 10 15
Class 10–15 15–20 20–25 25–30 30–35
Frequency 10 10 13 12 2
Class 40–60 60–80 80–100 100–120 120–140
Frequency 10 4 14 5 8

Class	0–20	20–40	40–60	60–80	80–100
Frequency	9	10	15	10	15

Class	10–15	15–20	20–25	25–30	30–35
Frequency	10	10	13	12	2

Class	40–60	60–80	80–100	100–120	120–140
Frequency	10	4	14	5	8

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 34

Name:Date:Score: / 3

Find the mode.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 5 3 8 10 15
Class 20–40 40–60 60–80 80–100 100–120
Frequency 4 12 9 15 12
Class 20–30 30–40 40–50 50–60 60–70
Frequency 4 5 13 14 4

Class	10–15	15–20	20–25	25–30	30–35
Frequency	5	3	8	10	15

Class	20–40	40–60	60–80	80–100	100–120
Frequency	4	12	9	15	12

Class	20–30	30–40	40–50	50–60	60–70
Frequency	4	5	13	14	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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