Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 27

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 27

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 8, 17, 7, 9, 9
Mean, median and mode of: 9, 21, 6, 19, 9
Mean, median and mode of: 5, 13, 25, 30, 30
Mean, median and mode of: 18, 8, 12, 16, 17, 4, 8
Mean, median and mode of: 12, 9, 4, 12, 26, 14, 12, 14, 4
Mean, median and mode of: 21, 28, 25, 10, 26, 28

with answer key

Mean

Class 6–7 · Worksheet 2 · set 27

Name:Date:Score: / 8

Find the mean.

Mean of: 23, 52, 39, 35, 22, 51, 30, 15
Mean of: 22, 54, 22, 17, 7, 17
Mean of: 40, 39, 32, 46, 13
Mean of: 23, 51, 58, 58, 9, 30
Mean of: 46, 60, 20, 18, 30, 20
Mean of: 39, 12, 7, 45, 40, 36, 39, 47
Mean of: 39, 36, 22, 30, 28
Mean of: 43, 17, 58, 43, 5, 37, 55

with answer key

Median

Class 7–8 · Worksheet 3 · set 27

Name:Date:Score: / 8

Find the median.

Median of: 73, 68, 74, 77, 19, 61, 57
Median of: 30, 48, 88, 89, 55, 35, 36
Median of: 65, 47, 45, 39, 89, 67, 76, 84, 31
Median of: 90, 49, 11, 52, 55, 54, 21, 76, 16, 55
Median of: 31, 87, 24, 26, 11, 86, 44, 34, 68, 66
Median of: 57, 51, 70, 19, 51, 36
Median of: 21, 45, 71, 50, 52, 17
Median of: 55, 31, 24, 24, 36, 56, 24, 36, 8, 78

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 27

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 9 14 19 24 29
f 4 3 3 12 1
x 6 10 14 18 22
f 2 9 12 3 2
x 6 10 14 18 22
f 2 1 7 2 3
x 1 6 11 16 21
f 3 6 5 2 5

x	9	14	19	24	29
f	4	3	3	12	1

x	6	10	14	18	22
f	2	9	12	3	2

x	6	10	14	18	22
f	2	1	7	2	3

x	1	6	11	16	21
f	3	6	5	2	5

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 27

Name:Date:Score: / 3

Find the mean.

Class 20–30 30–40 40–50 50–60 60–70
Frequency 15 8 6 6 13
Class 10–20 20–30 30–40 40–50 50–60
Frequency 8 6 9 7 2
Class 30–40 40–50 50–60 60–70 70–80
Frequency 13 4 11 8 12

Class	20–30	30–40	40–50	50–60	60–70
Frequency	15	8	6	6	13

Class	10–20	20–30	30–40	40–50	50–60
Frequency	8	6	9	7	2

Class	30–40	40–50	50–60	60–70	70–80
Frequency	13	4	11	8	12

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 27

Name:Date:Score: / 3

Find the median.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 5 10 9 4 15
Class 60–80 80–100 100–120 120–140 140–160
Frequency 14 6 7 5 5
Class 20–30 30–40 40–50 50–60 60–70
Frequency 8 9 11 15 9

Class	10–15	15–20	20–25	25–30	30–35
Frequency	5	10	9	4	15

Class	60–80	80–100	100–120	120–140	140–160
Frequency	14	6	7	5	5

Class	20–30	30–40	40–50	50–60	60–70
Frequency	8	9	11	15	9

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 27

Name:Date:Score: / 3

Find the mode.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 11 13 3 5 10
Class 0–20 20–40 40–60 60–80 80–100
Frequency 13 5 5 6 15
Class 0–10 10–20 20–30 30–40 40–50
Frequency 9 9 5 10 15

Class	30–40	40–50	50–60	60–70	70–80
Frequency	11	13	3	5	10

Class	0–20	20–40	40–60	60–80	80–100
Frequency	13	5	5	6	15

Class	0–10	10–20	20–30	30–40	40–50
Frequency	9	9	5	10	15

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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