Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 23

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 23

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 20, 22, 10, 15, 29, 14, 16, 16
Mean, median and mode of: 26, 18, 4, 2, 4
Mean, median and mode of: 19, 4, 10, 19, 19
Mean, median and mode of: 9, 21, 9, 13, 22, 11, 7, 9
Mean, median and mode of: 13, 30, 13, 27, 19, 13, 13
Mean, median and mode of: 5, 8, 16, 30, 5

with answer key

Mean

Class 6–7 · Worksheet 2 · set 23

Name:Date:Score: / 8

Find the mean.

Mean of: 24, 48, 7, 60, 53
Mean of: 20, 55, 21, 15, 40
Mean of: 55, 20, 16, 32, 58, 52, 37, 58
Mean of: 46, 35, 46, 15, 8, 58, 27, 41
Mean of: 21, 26, 26, 60, 21, 21, 35, 33
Mean of: 9, 47, 58, 48, 5
Mean of: 43, 37, 51, 28, 6, 15
Mean of: 56, 58, 44, 44, 29, 56, 48

with answer key

Median

Class 7–8 · Worksheet 3 · set 23

Name:Date:Score: / 8

Find the median.

Median of: 87, 10, 46, 75, 57, 75, 59
Median of: 79, 81, 36, 81, 22, 10, 43, 37
Median of: 89, 82, 5, 45, 56, 68, 52
Median of: 22, 72, 22, 18, 45
Median of: 42, 37, 44, 8, 67, 67, 66, 10
Median of: 42, 47, 86, 5, 23, 34
Median of: 70, 31, 88, 8, 6, 90
Median of: 90, 39, 78, 7, 75, 5, 37, 80

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 23

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 7 12 17 22 27
f 2 7 7 6 3
x 9 11 13 15 17
f 4 9 9 7 2
x 9 14 19 24 29
f 9 2 1 6 3
x 3 6 9 12 15
f 2 8 11 2 5

x	7	12	17	22	27
f	2	7	7	6	3

x	9	11	13	15	17
f	4	9	9	7	2

x	9	14	19	24	29
f	9	2	1	6	3

x	3	6	9	12	15
f	2	8	11	2	5

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 23

Name:Date:Score: / 3

Find the mean.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 12 2 2 4 3
Class 60–80 80–100 100–120 120–140 140–160
Frequency 12 13 6 12 7
Class 0–5 5–10 10–15 15–20 20–25
Frequency 10 6 5 14 14

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

Class	60–80	80–100	100–120	120–140	140–160
Frequency	12	13	6	12	7

Class	0–5	5–10	10–15	15–20	20–25
Frequency	10	6	5	14	14

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 23

Name:Date:Score: / 3

Find the median.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 4 15 9 6 13
Class 10–20 20–30 30–40 40–50 50–60
Frequency 14 4 10 3 13
Class 0–5 5–10 10–15 15–20 20–25
Frequency 11 14 8 4 10

Class	15–20	20–25	25–30	30–35	35–40
Frequency	4	15	9	6	13

Class	10–20	20–30	30–40	40–50	50–60
Frequency	14	4	10	3	13

Class	0–5	5–10	10–15	15–20	20–25
Frequency	11	14	8	4	10

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 23

Name:Date:Score: / 3

Find the mode.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 13 10 4 12 6
Class 15–20 20–25 25–30 30–35 35–40
Frequency 6 9 5 4 3
Class 15–20 20–25 25–30 30–35 35–40
Frequency 9 13 5 15 13

Class	5–10	10–15	15–20	20–25	25–30
Frequency	13	10	4	12	6

Class	15–20	20–25	25–30	30–35	35–40
Frequency	6	9	5	4	3

Class	15–20	20–25	25–30	30–35	35–40
Frequency	9	13	5	15	13

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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