Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 68

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 68

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 22, 2, 22, 11, 15, 15, 20, 13, 22
Mean, median and mode of: 7, 15, 7, 26, 6, 26, 24, 26
Mean, median and mode of: 6, 4, 12, 19, 12, 12
Mean, median and mode of: 10, 5, 7, 11, 28, 5, 20, 5
Mean, median and mode of: 19, 27, 16, 8, 24, 14, 22, 12, 27
Mean, median and mode of: 28, 16, 2, 23, 23, 26, 23, 27, 28

with answer key

Mean

Class 6–7 · Worksheet 2 · set 68

Name:Date:Score: / 8

Find the mean.

Mean of: 49, 29, 53, 36, 37, 23
Mean of: 8, 36, 25, 18, 55, 57, 14
Mean of: 48, 52, 60, 43, 42, 9, 27, 15
Mean of: 5, 27, 39, 33, 58, 23, 57
Mean of: 16, 46, 12, 34, 51, 43, 51
Mean of: 48, 55, 53, 35, 8, 54, 17, 26
Mean of: 38, 43, 30, 57, 51, 57, 58
Mean of: 46, 17, 17, 23, 58, 37

with answer key

Median

Class 7–8 · Worksheet 3 · set 68

Name:Date:Score: / 8

Find the median.

Median of: 21, 33, 21, 25, 62, 38, 70, 57, 67, 68
Median of: 52, 51, 86, 28, 83, 38
Median of: 29, 82, 90, 51, 77, 47
Median of: 15, 63, 20, 42, 59, 79, 83, 21, 81, 63
Median of: 38, 9, 22, 83, 78
Median of: 6, 69, 22, 46, 7, 21, 14, 74, 88, 89
Median of: 35, 37, 43, 14, 67, 55, 25, 90
Median of: 73, 82, 33, 49, 51

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 68

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 3 8 13 18 23
f 7 11 8 9 4
x 4 6 8 10 12
f 11 3 7 2 10
x 9 12 15 18 21
f 9 1 11 3 8
x 10 13 16 19 22
f 4 3 12 5 4

x	3	8	13	18	23
f	7	11	8	9	4

x	4	6	8	10	12
f	11	3	7	2	10

x	9	12	15	18	21
f	9	1	11	3	8

x	10	13	16	19	22
f	4	3	12	5	4

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 68

Name:Date:Score: / 3

Find the mean.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 3 11 5 5 13
Class 0–10 10–20 20–30 30–40 40–50
Frequency 3 2 6 8 12
Class 0–5 5–10 10–15 15–20 20–25
Frequency 4 14 12 3 7

Class	20–40	40–60	60–80	80–100	100–120
Frequency	3	11	5	5	13

Class	0–10	10–20	20–30	30–40	40–50
Frequency	3	2	6	8	12

Class	0–5	5–10	10–15	15–20	20–25
Frequency	4	14	12	3	7

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 68

Name:Date:Score: / 3

Find the median.

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

Class	0–20	20–40	40–60	60–80	80–100
Frequency	7	6	10	10	12

Class	0–10	10–20	20–30	30–40	40–50
Frequency	10	14	15	14	2

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	2	5	13	10

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 68

Name:Date:Score: / 3

Find the mode.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 14 8 3 12 6
Class 60–80 80–100 100–120 120–140 140–160
Frequency 2 6 8 7 2
Class 60–80 80–100 100–120 120–140 140–160
Frequency 4 7 4 8 13

Class	30–40	40–50	50–60	60–70	70–80
Frequency	14	8	3	12	6

Class	60–80	80–100	100–120	120–140	140–160
Frequency	2	6	8	7	2

Class	60–80	80–100	100–120	120–140	140–160
Frequency	4	7	4	8	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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