Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 81

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 81

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 16, 17, 18, 30, 20, 30
Mean, median and mode of: 15, 14, 20, 12, 22, 18, 16, 18
Mean, median and mode of: 5, 30, 25, 29, 6, 2, 25
Mean, median and mode of: 12, 2, 21, 8, 30, 13, 22, 27, 21
Mean, median and mode of: 4, 4, 30, 16, 4
Mean, median and mode of: 26, 27, 17, 9, 9

with answer key

Mean

Class 6–7 · Worksheet 2 · set 81

Name:Date:Score: / 8

Find the mean.

Mean of: 34, 51, 17, 27, 24, 21
Mean of: 52, 11, 27, 52, 55, 56, 9, 34
Mean of: 48, 34, 29, 37, 51, 5, 13
Mean of: 28, 35, 28, 34, 42, 53, 59
Mean of: 7, 22, 20, 46, 24
Mean of: 19, 10, 32, 28, 30
Mean of: 51, 37, 40, 26, 9, 40, 13
Mean of: 49, 20, 23, 58, 20

with answer key

Median

Class 7–8 · Worksheet 3 · set 81

Name:Date:Score: / 8

Find the median.

Median of: 85, 57, 30, 88, 66, 78, 5, 39, 11
Median of: 7, 73, 61, 84, 85, 30, 50, 62
Median of: 65, 82, 37, 74, 14, 55, 44, 86, 71
Median of: 73, 48, 44, 36, 26, 52, 36
Median of: 75, 38, 46, 25, 49
Median of: 86, 68, 58, 46, 78, 9, 22, 32
Median of: 88, 79, 52, 19, 30, 33
Median of: 14, 34, 89, 90, 65, 20, 88, 19, 79

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 81

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 3 5 7 9 11
f 11 4 8 5 2
x 7 12 17 22 27
f 1 1 7 11 1
x 1 5 9 13 17
f 4 2 9 10 3
x 3 5 7 9 11
f 4 10 2 12 6

x	3	5	7	9	11
f	11	4	8	5	2

x	7	12	17	22	27
f	1	1	7	11	1

x	1	5	9	13	17
f	4	2	9	10	3

x	3	5	7	9	11
f	4	10	2	12	6

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 81

Name:Date:Score: / 3

Find the mean.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 12 5 5 6 11
Class 10–20 20–30 30–40 40–50 50–60
Frequency 14 9 9 8 12
Class 0–10 10–20 20–30 30–40 40–50
Frequency 15 15 14 7 12

Class	5–10	10–15	15–20	20–25	25–30
Frequency	12	5	5	6	11

Class	10–20	20–30	30–40	40–50	50–60
Frequency	14	9	9	8	12

Class	0–10	10–20	20–30	30–40	40–50
Frequency	15	15	14	7	12

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 81

Name:Date:Score: / 3

Find the median.

Class 0–5 5–10 10–15 15–20 20–25
Frequency 12 2 15 14 5
Class 15–20 20–25 25–30 30–35 35–40
Frequency 5 15 3 12 9
Class 60–80 80–100 100–120 120–140 140–160
Frequency 2 2 4 14 15

Class	0–5	5–10	10–15	15–20	20–25
Frequency	12	2	15	14	5

Class	15–20	20–25	25–30	30–35	35–40
Frequency	5	15	3	12	9

Class	60–80	80–100	100–120	120–140	140–160
Frequency	2	2	4	14	15

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 81

Name:Date:Score: / 3

Find the mode.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 14 12 13 10 15
Class 0–20 20–40 40–60 60–80 80–100
Frequency 10 7 11 5 8
Class 40–60 60–80 80–100 100–120 120–140
Frequency 4 3 5 14 4

Class	30–40	40–50	50–60	60–70	70–80
Frequency	14	12	13	10	15

Class	0–20	20–40	40–60	60–80	80–100
Frequency	10	7	11	5	8

Class	40–60	60–80	80–100	100–120	120–140
Frequency	4	3	5	14	4

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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