Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 65

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 65

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 28, 22, 13, 26, 21, 26, 5, 9, 26
Mean, median and mode of: 12, 22, 6, 28, 2, 5, 16, 16, 16
Mean, median and mode of: 12, 11, 18, 11, 15, 30, 11
Mean, median and mode of: 24, 27, 6, 19, 22, 10, 10
Mean, median and mode of: 28, 21, 12, 23, 23
Mean, median and mode of: 25, 10, 11, 14, 20, 14

with answer key

Mean

Class 6–7 · Worksheet 2 · set 65

Name:Date:Score: / 8

Find the mean.

Mean of: 27, 35, 20, 60, 41, 47, 44
Mean of: 34, 51, 57, 36, 20, 6
Mean of: 12, 41, 38, 30, 7, 9, 36
Mean of: 53, 52, 13, 29, 8, 27, 12
Mean of: 39, 36, 7, 23, 56
Mean of: 56, 6, 12, 37, 20
Mean of: 42, 39, 10, 9, 12, 34, 31
Mean of: 19, 43, 35, 50, 18, 32, 54

with answer key

Median

Class 7–8 · Worksheet 3 · set 65

Name:Date:Score: / 8

Find the median.

Median of: 43, 45, 37, 6, 20
Median of: 59, 33, 67, 90, 68, 60, 75, 20, 19
Median of: 27, 46, 73, 61, 18, 48, 61, 40, 69, 89
Median of: 49, 66, 57, 42, 48, 76
Median of: 83, 61, 67, 79, 58, 23
Median of: 40, 76, 36, 48, 78, 36, 33, 35, 5
Median of: 55, 18, 6, 58, 62, 58, 14, 16, 52
Median of: 15, 15, 11, 32, 11, 25, 33, 54, 63

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 65

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 4 8 12 16 20
f 5 12 12 3 12
x 9 14 19 24 29
f 3 5 12 9 12
x 1 6 11 16 21
f 2 3 5 7 6
x 10 14 18 22 26
f 3 6 2 9 11

x	4	8	12	16	20
f	5	12	12	3	12

x	9	14	19	24	29
f	3	5	12	9	12

x	1	6	11	16	21
f	2	3	5	7	6

x	10	14	18	22	26
f	3	6	2	9	11

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 65

Name:Date:Score: / 3

Find the mean.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 10 5 13 13 5
Class 20–40 40–60 60–80 80–100 100–120
Frequency 7 7 5 11 2
Class 0–5 5–10 10–15 15–20 20–25
Frequency 15 15 4 2 13

Class	30–40	40–50	50–60	60–70	70–80
Frequency	10	5	13	13	5

Class	20–40	40–60	60–80	80–100	100–120
Frequency	7	7	5	11	2

Class	0–5	5–10	10–15	15–20	20–25
Frequency	15	15	4	2	13

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 65

Name:Date:Score: / 3

Find the median.

Class 15–20 20–25 25–30 30–35 35–40
Frequency 10 8 3 8 14
Class 20–30 30–40 40–50 50–60 60–70
Frequency 8 14 2 5 11
Class 20–40 40–60 60–80 80–100 100–120
Frequency 6 7 11 2 14

Class	15–20	20–25	25–30	30–35	35–40
Frequency	10	8	3	8	14

Class	20–30	30–40	40–50	50–60	60–70
Frequency	8	14	2	5	11

Class	20–40	40–60	60–80	80–100	100–120
Frequency	6	7	11	2	14

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 65

Name:Date:Score: / 3

Find the mode.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 9 11 13 7 5
Class 15–20 20–25 25–30 30–35 35–40
Frequency 12 2 11 11 14
Class 60–80 80–100 100–120 120–140 140–160
Frequency 12 4 13 10 7

Class	0–20	20–40	40–60	60–80	80–100
Frequency	9	11	13	7	5

Class	15–20	20–25	25–30	30–35	35–40
Frequency	12	2	11	11	14

Class	60–80	80–100	100–120	120–140	140–160
Frequency	12	4	13	10	7

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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