Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 5

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 5

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 11, 3, 21, 17, 2, 26, 6, 21
Mean, median and mode of: 28, 22, 21, 11, 15, 21
Mean, median and mode of: 16, 24, 9, 20, 28, 27, 24
Mean, median and mode of: 24, 25, 6, 19, 16, 26, 29, 25
Mean, median and mode of: 12, 2, 3, 9, 6, 9
Mean, median and mode of: 22, 5, 26, 4, 9, 11, 21, 9

with answer key

Mean

Class 6–7 · Worksheet 2 · set 5

Name:Date:Score: / 8

Find the mean.

Mean of: 29, 54, 43, 37, 5, 19, 20
Mean of: 36, 16, 17, 46, 21, 55, 15, 44
Mean of: 26, 10, 7, 54, 26, 55
Mean of: 45, 39, 12, 25, 24, 12, 37
Mean of: 34, 43, 28, 48, 5, 21, 49
Mean of: 55, 47, 16, 16, 10
Mean of: 56, 53, 19, 33, 37, 19, 49, 56
Mean of: 11, 24, 48, 8, 41

with answer key

Median

Class 7–8 · Worksheet 3 · set 5

Name:Date:Score: / 8

Find the median.

Median of: 44, 64, 83, 33, 10, 41
Median of: 66, 9, 51, 88, 23, 12, 23
Median of: 17, 65, 71, 63, 7
Median of: 67, 28, 28, 70, 7, 56, 24, 88
Median of: 62, 56, 50, 15, 76, 66, 15, 49, 33
Median of: 75, 11, 53, 42, 60, 32, 76, 83
Median of: 83, 9, 74, 55, 60
Median of: 83, 41, 46, 84, 15, 41

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 5

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

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

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

x	3	5	7	9	11
f	9	10	1	7	7

x	6	8	10	12	14
f	2	5	10	1	3

x	10	11	12	13	14
f	9	11	2	3	6

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 5

Name:Date:Score: / 3

Find the mean.

Class 40–60 60–80 80–100 100–120 120–140
Frequency 2 2 13 4 4
Class 20–40 40–60 60–80 80–100 100–120
Frequency 9 3 6 12 4
Class 0–10 10–20 20–30 30–40 40–50
Frequency 9 12 15 5 8

Class	40–60	60–80	80–100	100–120	120–140
Frequency	2	2	13	4	4

Class	20–40	40–60	60–80	80–100	100–120
Frequency	9	3	6	12	4

Class	0–10	10–20	20–30	30–40	40–50
Frequency	9	12	15	5	8

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 5

Name:Date:Score: / 3

Find the median.

Class 60–80 80–100 100–120 120–140 140–160
Frequency 7 10 2 3 2
Class 20–30 30–40 40–50 50–60 60–70
Frequency 15 8 13 12 15
Class 10–20 20–30 30–40 40–50 50–60
Frequency 9 5 11 13 4

Class	60–80	80–100	100–120	120–140	140–160
Frequency	7	10	2	3	2

Class	20–30	30–40	40–50	50–60	60–70
Frequency	15	8	13	12	15

Class	10–20	20–30	30–40	40–50	50–60
Frequency	9	5	11	13	4

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 5

Name:Date:Score: / 3

Find the mode.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 9 11 14 3 11
Class 60–80 80–100 100–120 120–140 140–160
Frequency 13 5 11 7 6
Class 0–10 10–20 20–30 30–40 40–50
Frequency 10 2 8 3 13

Class	10–15	15–20	20–25	25–30	30–35
Frequency	9	11	14	3	11

Class	60–80	80–100	100–120	120–140	140–160
Frequency	13	5	11	7	6

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