Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 36

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 36

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 13, 20, 28, 22, 30, 25, 22
Mean, median and mode of: 8, 16, 26, 13, 19, 13
Mean, median and mode of: 14, 6, 26, 5, 7, 24, 28, 5
Mean, median and mode of: 27, 28, 11, 21, 5, 12, 19, 27
Mean, median and mode of: 22, 20, 6, 24, 9, 23, 26, 14, 14
Mean, median and mode of: 8, 5, 21, 11, 10, 24, 21

with answer key

Mean

Class 6–7 · Worksheet 2 · set 36

Name:Date:Score: / 8

Find the mean.

Mean of: 29, 57, 32, 16, 32
Mean of: 38, 47, 26, 11, 22, 13, 6
Mean of: 12, 11, 27, 60, 59, 26
Mean of: 38, 22, 41, 19, 21
Mean of: 35, 20, 20, 15, 32, 17, 47, 59
Mean of: 12, 42, 55, 16, 30, 24
Mean of: 43, 39, 20, 35, 5, 21, 54, 34
Mean of: 43, 36, 11, 17, 31, 8

with answer key

Median

Class 7–8 · Worksheet 3 · set 36

Name:Date:Score: / 8

Find the median.

Median of: 76, 69, 76, 26, 40, 89
Median of: 51, 35, 42, 18, 88, 88, 84
Median of: 24, 73, 36, 60, 87, 84, 81
Median of: 77, 12, 43, 23, 24, 87
Median of: 69, 73, 56, 52, 73
Median of: 57, 79, 71, 81, 78
Median of: 86, 48, 36, 81, 39, 23
Median of: 5, 36, 75, 81, 19, 15

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 36

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 9 10 11 12 13
f 4 6 4 4 11
x 4 9 14 19 24
f 9 4 12 10 6
x 10 15 20 25 30
f 7 11 8 11 10
x 7 10 13 16 19
f 10 12 9 6 10

x	9	10	11	12	13
f	4	6	4	4	11

x	4	9	14	19	24
f	9	4	12	10	6

x	10	15	20	25	30
f	7	11	8	11	10

x	7	10	13	16	19
f	10	12	9	6	10

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 36

Name:Date:Score: / 3

Find the mean.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 15 8 3 13 5
Class 20–40 40–60 60–80 80–100 100–120
Frequency 15 3 5 14 2
Class 60–80 80–100 100–120 120–140 140–160
Frequency 3 14 6 11 11

Class	10–20	20–30	30–40	40–50	50–60
Frequency	15	8	3	13	5

Class	20–40	40–60	60–80	80–100	100–120
Frequency	15	3	5	14	2

Class	60–80	80–100	100–120	120–140	140–160
Frequency	3	14	6	11	11

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 36

Name:Date:Score: / 3

Find the median.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 2 3 4 11 12
Class 40–60 60–80 80–100 100–120 120–140
Frequency 4 7 14 5 10
Class 20–30 30–40 40–50 50–60 60–70
Frequency 12 2 3 12 4

Class	10–20	20–30	30–40	40–50	50–60
Frequency	2	3	4	11	12

Class	40–60	60–80	80–100	100–120	120–140
Frequency	4	7	14	5	10

Class	20–30	30–40	40–50	50–60	60–70
Frequency	12	2	3	12	4

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 36

Name:Date:Score: / 3

Find the mode.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 11 13 2 13 15
Class 0–20 20–40 40–60 60–80 80–100
Frequency 3 7 15 5 9
Class 20–40 40–60 60–80 80–100 100–120
Frequency 5 11 4 10 10

Class	15–20	20–25	25–30	30–35	35–40
Frequency	11	13	2	13	15

Class	0–20	20–40	40–60	60–80	80–100
Frequency	3	7	15	5	9

Class	20–40	40–60	60–80	80–100	100–120
Frequency	5	11	4	10	10

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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