Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 51

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 51

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 19, 3, 19, 3, 3, 3
Mean, median and mode of: 29, 10, 30, 23, 10, 29, 30, 10
Mean, median and mode of: 13, 23, 22, 29, 29
Mean, median and mode of: 25, 10, 22, 15, 6, 14, 7, 10
Mean, median and mode of: 29, 19, 14, 11, 29
Mean, median and mode of: 10, 5, 22, 11, 10

with answer key

Mean

Class 6–7 · Worksheet 2 · set 51

Name:Date:Score: / 8

Find the mean.

Mean of: 45, 14, 15, 20, 38
Mean of: 58, 47, 55, 43, 19, 57
Mean of: 38, 40, 26, 32, 44, 11
Mean of: 9, 48, 44, 7, 25, 41, 52, 32
Mean of: 50, 42, 15, 31, 7, 23, 44, 7
Mean of: 34, 10, 46, 42, 6, 13, 45, 24
Mean of: 11, 20, 49, 13, 16, 47, 42, 52
Mean of: 59, 8, 21, 34, 57, 27, 48, 19

with answer key

Median

Class 7–8 · Worksheet 3 · set 51

Name:Date:Score: / 8

Find the median.

Median of: 22, 17, 55, 32, 7, 44
Median of: 53, 70, 61, 63, 5
Median of: 17, 33, 75, 79, 11, 20, 53, 20
Median of: 35, 60, 8, 39, 48, 86, 48
Median of: 38, 60, 77, 15, 48, 19, 6, 19, 48, 24
Median of: 53, 44, 89, 20, 37, 40
Median of: 16, 13, 52, 42, 39, 18
Median of: 27, 75, 27, 56, 34, 29, 90

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 51

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 8 10 12 14 16
f 7 2 8 11 6
x 3 8 13 18 23
f 4 2 2 1 4
x 8 12 16 20 24
f 7 12 2 12 1
x 5 7 9 11 13
f 4 2 9 12 7

x	8	10	12	14	16
f	7	2	8	11	6

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

x	8	12	16	20	24
f	7	12	2	12	1

x	5	7	9	11	13
f	4	2	9	12	7

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 51

Name:Date:Score: / 3

Find the mean.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 13 6 13 4 8
Class 0–10 10–20 20–30 30–40 40–50
Frequency 8 14 13 15 14
Class 60–80 80–100 100–120 120–140 140–160
Frequency 2 11 13 6 11

Class	5–10	10–15	15–20	20–25	25–30
Frequency	13	6	13	4	8

Class	0–10	10–20	20–30	30–40	40–50
Frequency	8	14	13	15	14

Class	60–80	80–100	100–120	120–140	140–160
Frequency	2	11	13	6	11

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 51

Name:Date:Score: / 3

Find the median.

Class 40–60 60–80 80–100 100–120 120–140
Frequency 9 13 2 4 9
Class 20–30 30–40 40–50 50–60 60–70
Frequency 11 9 10 13 5
Class 10–15 15–20 20–25 25–30 30–35
Frequency 4 3 8 8 6

Class	40–60	60–80	80–100	100–120	120–140
Frequency	9	13	2	4	9

Class	20–30	30–40	40–50	50–60	60–70
Frequency	11	9	10	13	5

Class	10–15	15–20	20–25	25–30	30–35
Frequency	4	3	8	8	6

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 51

Name:Date:Score: / 3

Find the mode.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 11 5 7 3 10
Class 10–15 15–20 20–25 25–30 30–35
Frequency 14 8 15 3 13
Class 40–60 60–80 80–100 100–120 120–140
Frequency 13 9 2 8 5

Class	0–10	10–20	20–30	30–40	40–50
Frequency	11	5	7	3	10

Class	10–15	15–20	20–25	25–30	30–35
Frequency	14	8	15	3	13

Class	40–60	60–80	80–100	100–120	120–140
Frequency	13	9	2	8	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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