Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 94

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 94

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 2, 29, 5, 19, 10, 5
Mean, median and mode of: 23, 3, 22, 24, 22
Mean, median and mode of: 8, 7, 29, 27, 4, 29
Mean, median and mode of: 15, 27, 6, 3, 27
Mean, median and mode of: 6, 15, 16, 14, 8, 6
Mean, median and mode of: 19, 13, 29, 30, 29, 30, 30

with answer key

Mean

Class 6–7 · Worksheet 2 · set 94

Name:Date:Score: / 8

Find the mean.

Mean of: 35, 50, 37, 21, 17, 14, 19
Mean of: 36, 35, 21, 40, 22
Mean of: 56, 19, 42, 48, 39, 17
Mean of: 18, 11, 42, 18, 40, 27, 52
Mean of: 24, 15, 53, 54, 19, 18
Mean of: 13, 53, 16, 43, 22, 9
Mean of: 46, 8, 57, 43, 60
Mean of: 38, 26, 18, 11, 5

with answer key

Median

Class 7–8 · Worksheet 3 · set 94

Name:Date:Score: / 8

Find the median.

Median of: 65, 82, 79, 22, 22
Median of: 86, 85, 29, 60, 42, 18, 35, 75, 81
Median of: 69, 77, 37, 40, 29, 76, 84, 85
Median of: 90, 16, 77, 79, 26, 33, 18
Median of: 54, 18, 49, 59, 48, 19, 71
Median of: 63, 36, 57, 12, 63, 12, 24, 14
Median of: 37, 59, 70, 74, 10
Median of: 26, 41, 67, 89, 26, 36, 86, 73, 41

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 94

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 2 5 8 11 14
f 12 5 5 7 6
x 4 6 8 10 12
f 11 8 7 11 3
x 1 6 11 16 21
f 12 5 3 10 9
x 4 9 14 19 24
f 10 3 4 10 9

x	2	5	8	11	14
f	12	5	5	7	6

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

x	1	6	11	16	21
f	12	5	3	10	9

x	4	9	14	19	24
f	10	3	4	10	9

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 94

Name:Date:Score: / 3

Find the mean.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 8 10 11 10 4
Class 0–10 10–20 20–30 30–40 40–50
Frequency 14 12 10 12 14
Class 15–20 20–25 25–30 30–35 35–40
Frequency 12 13 8 13 14

Class	10–15	15–20	20–25	25–30	30–35
Frequency	8	10	11	10	4

Class	0–10	10–20	20–30	30–40	40–50
Frequency	14	12	10	12	14

Class	15–20	20–25	25–30	30–35	35–40
Frequency	12	13	8	13	14

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 94

Name:Date:Score: / 3

Find the median.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 12 4 11 6 9
Class 15–20 20–25 25–30 30–35 35–40
Frequency 11 10 7 9 2
Class 0–5 5–10 10–15 15–20 20–25
Frequency 2 14 5 6 12

Class	0–10	10–20	20–30	30–40	40–50
Frequency	12	4	11	6	9

Class	15–20	20–25	25–30	30–35	35–40
Frequency	11	10	7	9	2

Class	0–5	5–10	10–15	15–20	20–25
Frequency	2	14	5	6	12

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 94

Name:Date:Score: / 3

Find the mode.

Class 10–15 15–20 20–25 25–30 30–35
Frequency 5 7 10 5 12
Class 0–10 10–20 20–30 30–40 40–50
Frequency 13 12 8 10 9
Class 5–10 10–15 15–20 20–25 25–30
Frequency 12 7 4 11 8

Class	10–15	15–20	20–25	25–30	30–35
Frequency	5	7	10	5	12

Class	0–10	10–20	20–30	30–40	40–50
Frequency	13	12	8	10	9

Class	5–10	10–15	15–20	20–25	25–30
Frequency	12	7	4	11	8

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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