Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 71

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 71

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 16, 24, 10, 8, 11, 20, 5, 20
Mean, median and mode of: 20, 4, 11, 17, 14, 15, 17, 14, 17
Mean, median and mode of: 23, 13, 8, 27, 28, 23
Mean, median and mode of: 5, 18, 23, 12, 18
Mean, median and mode of: 24, 14, 11, 27, 13, 11
Mean, median and mode of: 5, 23, 13, 22, 24, 29, 28, 22

with answer key

Mean

Class 6–7 · Worksheet 2 · set 71

Name:Date:Score: / 8

Find the mean.

Mean of: 16, 46, 22, 36, 14, 43
Mean of: 31, 14, 31, 45, 19, 17
Mean of: 57, 42, 15, 21, 22, 55, 54, 45
Mean of: 50, 58, 35, 46, 11
Mean of: 48, 55, 44, 44, 6, 18, 9, 27
Mean of: 19, 41, 60, 35, 44, 12, 22, 10
Mean of: 53, 8, 33, 13, 5, 30, 50
Mean of: 48, 28, 21, 39, 18, 35, 25

with answer key

Median

Class 7–8 · Worksheet 3 · set 71

Name:Date:Score: / 8

Find the median.

Median of: 61, 66, 40, 11, 8, 63, 20
Median of: 31, 31, 40, 23, 44, 88, 14, 39, 40, 43
Median of: 76, 84, 52, 18, 20, 14, 62, 21
Median of: 18, 6, 36, 86, 23, 66, 32
Median of: 22, 49, 38, 53, 48, 38, 31, 75, 30
Median of: 39, 49, 37, 39, 90, 54, 32, 72
Median of: 18, 83, 11, 28, 50, 45, 58
Median of: 8, 27, 78, 87, 15, 38, 67, 19, 82, 46

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 71

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 1 2 3 4 5
f 6 5 11 6 7
x 5 10 15 20 25
f 9 11 8 9 11
x 3 8 13 18 23
f 7 2 5 1 1
x 1 5 9 13 17
f 8 12 10 12 11

x	1	2	3	4	5
f	6	5	11	6	7

x	5	10	15	20	25
f	9	11	8	9	11

x	3	8	13	18	23
f	7	2	5	1	1

x	1	5	9	13	17
f	8	12	10	12	11

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 71

Name:Date:Score: / 3

Find the mean.

Class 60–80 80–100 100–120 120–140 140–160
Frequency 9 14 8 12 15
Class 60–80 80–100 100–120 120–140 140–160
Frequency 3 7 11 7 2
Class 5–10 10–15 15–20 20–25 25–30
Frequency 2 15 13 2 15

Class	60–80	80–100	100–120	120–140	140–160
Frequency	9	14	8	12	15

Class	60–80	80–100	100–120	120–140	140–160
Frequency	3	7	11	7	2

Class	5–10	10–15	15–20	20–25	25–30
Frequency	2	15	13	2	15

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 71

Name:Date:Score: / 3

Find the median.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 10 7 7 6 5
Class 40–60 60–80 80–100 100–120 120–140
Frequency 11 6 4 10 11
Class 0–10 10–20 20–30 30–40 40–50
Frequency 5 15 12 7 2

Class	10–20	20–30	30–40	40–50	50–60
Frequency	10	7	7	6	5

Class	40–60	60–80	80–100	100–120	120–140
Frequency	11	6	4	10	11

Class	0–10	10–20	20–30	30–40	40–50
Frequency	5	15	12	7	2

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 71

Name:Date:Score: / 3

Find the mode.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 2 12 8 2 3
Class 15–20 20–25 25–30 30–35 35–40
Frequency 13 5 10 11 4
Class 10–15 15–20 20–25 25–30 30–35
Frequency 5 13 10 8 6

Class	15–20	20–25	25–30	30–35	35–40
Frequency	2	12	8	2	3

Class	15–20	20–25	25–30	30–35	35–40
Frequency	13	5	10	11	4

Class	10–15	15–20	20–25	25–30	30–35
Frequency	5	13	10	8	6

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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