Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 54

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 54

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 13, 2, 26, 21, 26
Mean, median and mode of: 7, 28, 14, 29, 24, 16, 28
Mean, median and mode of: 14, 7, 14, 7, 13, 21, 19, 14
Mean, median and mode of: 11, 13, 28, 19, 29, 16, 19
Mean, median and mode of: 27, 24, 2, 24, 9, 5, 7, 9, 24
Mean, median and mode of: 23, 13, 2, 24, 11, 11

with answer key

Mean

Class 6–7 · Worksheet 2 · set 54

Name:Date:Score: / 8

Find the mean.

Mean of: 33, 43, 18, 43, 55, 31, 25, 40
Mean of: 37, 7, 15, 31, 14, 30
Mean of: 44, 34, 22, 32, 40
Mean of: 20, 49, 29, 28, 7, 15, 59, 41
Mean of: 49, 48, 17, 12, 39, 6, 60
Mean of: 27, 57, 29, 35, 59
Mean of: 41, 18, 56, 53, 12, 24
Mean of: 16, 56, 48, 24, 54, 13, 44

with answer key

Median

Class 7–8 · Worksheet 3 · set 54

Name:Date:Score: / 8

Find the median.

Median of: 17, 32, 6, 18, 64
Median of: 7, 61, 60, 19, 21, 14
Median of: 55, 20, 88, 9, 46, 82
Median of: 79, 32, 46, 30, 59, 48, 84, 88
Median of: 7, 30, 32, 34, 40, 84, 44
Median of: 19, 60, 67, 15, 64, 41, 55
Median of: 74, 52, 87, 23, 7, 58, 11, 75, 57
Median of: 52, 28, 46, 16, 63, 66, 23

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 54

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 6 9 12 15 18
f 12 9 5 11 11
x 5 6 7 8 9
f 11 2 11 8 8
x 10 11 12 13 14
f 6 12 1 10 1
x 1 2 3 4 5
f 6 5 5 6 12

x	6	9	12	15	18
f	12	9	5	11	11

x	5	6	7	8	9
f	11	2	11	8	8

x	10	11	12	13	14
f	6	12	1	10	1

x	1	2	3	4	5
f	6	5	5	6	12

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 54

Name:Date:Score: / 3

Find the mean.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 12 4 4 8 15
Class 20–30 30–40 40–50 50–60 60–70
Frequency 2 12 4 12 8
Class 20–30 30–40 40–50 50–60 60–70
Frequency 5 12 6 8 10

Class	0–20	20–40	40–60	60–80	80–100
Frequency	12	4	4	8	15

Class	20–30	30–40	40–50	50–60	60–70
Frequency	2	12	4	12	8

Class	20–30	30–40	40–50	50–60	60–70
Frequency	5	12	6	8	10

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 54

Name:Date:Score: / 3

Find the median.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 2 3 5 10 12
Class 15–20 20–25 25–30 30–35 35–40
Frequency 5 9 12 12 3
Class 15–20 20–25 25–30 30–35 35–40
Frequency 11 2 14 4 10

Class	0–10	10–20	20–30	30–40	40–50
Frequency	2	3	5	10	12

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

Class	15–20	20–25	25–30	30–35	35–40
Frequency	11	2	14	4	10

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 54

Name:Date:Score: / 3

Find the mode.

Class 20–30 30–40 40–50 50–60 60–70
Frequency 13 12 7 7 8
Class 15–20 20–25 25–30 30–35 35–40
Frequency 3 8 14 2 4
Class 60–80 80–100 100–120 120–140 140–160
Frequency 3 4 11 5 13

Class	20–30	30–40	40–50	50–60	60–70
Frequency	13	12	7	7	8

Class	15–20	20–25	25–30	30–35	35–40
Frequency	3	8	14	2	4

Class	60–80	80–100	100–120	120–140	140–160
Frequency	3	4	11	5	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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