Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 12

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 12

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 19, 10, 5, 3, 27, 7, 26, 12, 12
Mean, median and mode of: 12, 3, 16, 27, 25, 12, 2, 12
Mean, median and mode of: 14, 8, 23, 20, 27, 22, 16, 30, 14
Mean, median and mode of: 11, 21, 27, 4, 11
Mean, median and mode of: 21, 14, 27, 6, 27
Mean, median and mode of: 12, 30, 26, 14, 11, 3, 4, 12

with answer key

Mean

Class 6–7 · Worksheet 2 · set 12

Name:Date:Score: / 8

Find the mean.

Mean of: 57, 49, 41, 32, 34, 14
Mean of: 38, 36, 5, 48, 39, 38, 55, 29
Mean of: 28, 20, 56, 19, 38
Mean of: 56, 9, 9, 55, 23
Mean of: 14, 11, 31, 38, 54, 56, 58
Mean of: 50, 51, 12, 54, 35, 37, 46
Mean of: 47, 53, 46, 33, 9, 58
Mean of: 39, 57, 57, 18, 11, 11

with answer key

Median

Class 7–8 · Worksheet 3 · set 12

Name:Date:Score: / 8

Find the median.

Median of: 50, 9, 27, 45, 22, 43
Median of: 40, 75, 18, 61, 7
Median of: 81, 45, 63, 16, 59, 55, 39, 50, 83, 88
Median of: 61, 53, 14, 38, 34, 22, 14
Median of: 17, 20, 52, 85, 82, 7
Median of: 62, 83, 42, 48, 15
Median of: 62, 66, 62, 42, 33, 36, 19, 73, 65
Median of: 90, 15, 20, 10, 27, 57, 27, 88, 50

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 12

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 7 11 15 19 23
f 8 5 5 9 1
x 5 9 13 17 21
f 9 7 1 12 4
x 8 12 16 20 24
f 12 11 10 5 5
x 4 9 14 19 24
f 10 12 1 7 5

x	7	11	15	19	23
f	8	5	5	9	1

x	5	9	13	17	21
f	9	7	1	12	4

x	8	12	16	20	24
f	12	11	10	5	5

x	4	9	14	19	24
f	10	12	1	7	5

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 12

Name:Date:Score: / 3

Find the mean.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 5 4 7 2 12
Class 0–5 5–10 10–15 15–20 20–25
Frequency 12 9 4 9 6
Class 0–20 20–40 40–60 60–80 80–100
Frequency 8 10 14 3 6

Class	5–10	10–15	15–20	20–25	25–30
Frequency	5	4	7	2	12

Class	0–5	5–10	10–15	15–20	20–25
Frequency	12	9	4	9	6

Class	0–20	20–40	40–60	60–80	80–100
Frequency	8	10	14	3	6

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 12

Name:Date:Score: / 3

Find the median.

Class 20–40 40–60 60–80 80–100 100–120
Frequency 3 5 11 12 10
Class 15–20 20–25 25–30 30–35 35–40
Frequency 9 7 3 12 15
Class 20–40 40–60 60–80 80–100 100–120
Frequency 4 5 7 6 10

Class	20–40	40–60	60–80	80–100	100–120
Frequency	3	5	11	12	10

Class	15–20	20–25	25–30	30–35	35–40
Frequency	9	7	3	12	15

Class	20–40	40–60	60–80	80–100	100–120
Frequency	4	5	7	6	10

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 12

Name:Date:Score: / 3

Find the mode.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 10 12 7 7 13
Class 40–60 60–80 80–100 100–120 120–140
Frequency 6 13 15 8 10
Class 60–80 80–100 100–120 120–140 140–160
Frequency 4 9 3 4 4

Class	30–40	40–50	50–60	60–70	70–80
Frequency	10	12	7	7	13

Class	40–60	60–80	80–100	100–120	120–140
Frequency	6	13	15	8	10

Class	60–80	80–100	100–120	120–140	140–160
Frequency	4	9	3	4	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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