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

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 6

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 3, 18, 5, 2, 24, 3
Mean, median and mode of: 14, 6, 16, 18, 13, 5, 16
Mean, median and mode of: 12, 23, 9, 7, 21, 12
Mean, median and mode of: 22, 26, 29, 25, 29, 29
Mean, median and mode of: 26, 17, 15, 21, 20, 30, 15
Mean, median and mode of: 29, 11, 9, 7, 29, 14, 29

with answer key

Mean

Class 6–7 · Worksheet 2 · set 6

Name:Date:Score: / 8

Find the mean.

Mean of: 19, 41, 30, 15, 53
Mean of: 7, 32, 56, 21, 7, 13
Mean of: 50, 36, 13, 51, 41, 58
Mean of: 7, 26, 41, 29, 17, 33
Mean of: 53, 31, 31, 20, 38
Mean of: 26, 20, 51, 52, 34, 28, 22, 30
Mean of: 18, 25, 6, 33, 10
Mean of: 16, 43, 34, 26, 12, 33

with answer key

Median

Class 7–8 · Worksheet 3 · set 6

Name:Date:Score: / 8

Find the median.

Median of: 86, 66, 8, 81, 52, 72, 61, 79, 76
Median of: 48, 67, 44, 33, 66, 55, 23, 66
Median of: 45, 17, 17, 39, 14, 43
Median of: 35, 44, 30, 51, 64
Median of: 66, 28, 74, 77, 39
Median of: 71, 29, 78, 89, 79, 39
Median of: 62, 66, 5, 45, 51, 62, 29, 58, 59
Median of: 13, 41, 79, 87, 62, 26, 22

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 6

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 4 5 6 7 8
f 4 4 1 10 8
x 5 7 9 11 13
f 9 8 3 3 1
x 1 5 9 13 17
f 6 8 7 1 10
x 8 13 18 23 28
f 3 1 4 8 2

x	4	5	6	7	8
f	4	4	1	10	8

x	5	7	9	11	13
f	9	8	3	3	1

x	1	5	9	13	17
f	6	8	7	1	10

x	8	13	18	23	28
f	3	1	4	8	2

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 6

Name:Date:Score: / 3

Find the mean.

Class 40–60 60–80 80–100 100–120 120–140
Frequency 13 14 15 2 4
Class 60–80 80–100 100–120 120–140 140–160
Frequency 7 10 6 5 8
Class 60–80 80–100 100–120 120–140 140–160
Frequency 5 2 14 4 7

Class	40–60	60–80	80–100	100–120	120–140
Frequency	13	14	15	2	4

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	10	6	5	8

Class	60–80	80–100	100–120	120–140	140–160
Frequency	5	2	14	4	7

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 6

Name:Date:Score: / 3

Find the median.

Class 40–60 60–80 80–100 100–120 120–140
Frequency 6 4 3 3 7
Class 20–30 30–40 40–50 50–60 60–70
Frequency 14 14 12 15 14
Class 20–40 40–60 60–80 80–100 100–120
Frequency 12 3 9 13 14

Class	40–60	60–80	80–100	100–120	120–140
Frequency	6	4	3	3	7

Class	20–30	30–40	40–50	50–60	60–70
Frequency	14	14	12	15	14

Class	20–40	40–60	60–80	80–100	100–120
Frequency	12	3	9	13	14

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 6

Name:Date:Score: / 3

Find the mode.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 3 4 11 9 10
Class 0–10 10–20 20–30 30–40 40–50
Frequency 8 4 3 14 10
Class 10–15 15–20 20–25 25–30 30–35
Frequency 9 5 11 6 5

Class	0–10	10–20	20–30	30–40	40–50
Frequency	3	4	11	9	10

Class	0–10	10–20	20–30	30–40	40–50
Frequency	8	4	3	14	10

Class	10–15	15–20	20–25	25–30	30–35
Frequency	9	5	11	6	5

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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