Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 53

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 53

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 12, 14, 22, 28, 10, 8, 27, 14
Mean, median and mode of: 14, 23, 21, 22, 22, 7, 8, 4, 22
Mean, median and mode of: 6, 29, 15, 13, 6
Mean, median and mode of: 4, 3, 16, 28, 23, 22, 15, 3
Mean, median and mode of: 16, 7, 3, 6, 10, 15, 10
Mean, median and mode of: 16, 17, 9, 29, 4, 11, 14, 22, 29

with answer key

Mean

Class 6–7 · Worksheet 2 · set 53

Name:Date:Score: / 8

Find the mean.

Mean of: 55, 28, 55, 30, 16, 38, 8
Mean of: 32, 53, 14, 46, 12, 19
Mean of: 47, 59, 7, 26, 59, 32, 60, 47
Mean of: 14, 8, 44, 14, 30, 25
Mean of: 23, 26, 24, 55, 26
Mean of: 16, 30, 27, 39, 36, 16, 43, 45
Mean of: 58, 10, 22, 29, 25, 9
Mean of: 20, 31, 46, 25, 30, 14

with answer key

Median

Class 7–8 · Worksheet 3 · set 53

Name:Date:Score: / 8

Find the median.

Median of: 34, 37, 16, 56, 65, 33, 62, 52
Median of: 11, 15, 74, 45, 56, 17, 30, 46, 16, 89
Median of: 88, 42, 49, 43, 25
Median of: 57, 23, 45, 16, 65, 60, 79
Median of: 39, 56, 45, 7, 85, 10, 64, 65, 39, 7
Median of: 61, 48, 84, 84, 13, 69, 43, 82, 62
Median of: 72, 25, 33, 52, 15, 8, 65, 47, 62, 77
Median of: 14, 66, 11, 11, 25, 23, 75, 69, 50

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 53

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 3 4 5 6 7
f 3 11 10 10 1
x 8 12 16 20 24
f 11 12 10 3 11
x 7 12 17 22 27
f 11 12 6 9 1
x 7 10 13 16 19
f 2 10 5 1 1

x	3	4	5	6	7
f	3	11	10	10	1

x	8	12	16	20	24
f	11	12	10	3	11

x	7	12	17	22	27
f	11	12	6	9	1

x	7	10	13	16	19
f	2	10	5	1	1

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 53

Name:Date:Score: / 3

Find the mean.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 4 12 2 2 7
Class 5–10 10–15 15–20 20–25 25–30
Frequency 10 6 12 8 11
Class 0–5 5–10 10–15 15–20 20–25
Frequency 13 8 10 11 8

Class	10–15	15–20	20–25	25–30	30–35
Frequency	4	12	2	2	7

Class	5–10	10–15	15–20	20–25	25–30
Frequency	10	6	12	8	11

Class	0–5	5–10	10–15	15–20	20–25
Frequency	13	8	10	11	8

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 53

Name:Date:Score: / 3

Find the median.

Class 0–5 5–10 10–15 15–20 20–25
Frequency 9 4 4 7 7
Class 40–60 60–80 80–100 100–120 120–140
Frequency 8 4 11 4 10
Class 10–15 15–20 20–25 25–30 30–35
Frequency 8 6 9 9 14

Class	0–5	5–10	10–15	15–20	20–25
Frequency	9	4	4	7	7

Class	40–60	60–80	80–100	100–120	120–140
Frequency	8	4	11	4	10

Class	10–15	15–20	20–25	25–30	30–35
Frequency	8	6	9	9	14

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 53

Name:Date:Score: / 3

Find the mode.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 9 14 5 6 11
Class 20–40 40–60 60–80 80–100 100–120
Frequency 9 11 14 6 13
Class 60–80 80–100 100–120 120–140 140–160
Frequency 4 15 7 9 13

Class	0–10	10–20	20–30	30–40	40–50
Frequency	9	14	5	6	11

Class	20–40	40–60	60–80	80–100	100–120
Frequency	9	11	14	6	13

Class	60–80	80–100	100–120	120–140	140–160
Frequency	4	15	7	9	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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