Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 88

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 88

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 3, 5, 18, 16, 27, 24, 12, 12
Mean, median and mode of: 7, 4, 19, 6, 26, 12, 11, 23, 7
Mean, median and mode of: 29, 21, 2, 18, 7, 7
Mean, median and mode of: 26, 24, 5, 28, 25, 19, 28
Mean, median and mode of: 26, 10, 19, 2, 8, 6, 23, 2
Mean, median and mode of: 19, 19, 19, 11, 22, 19

with answer key

Mean

Class 6–7 · Worksheet 2 · set 88

Name:Date:Score: / 8

Find the mean.

Mean of: 44, 30, 34, 60, 34, 29
Mean of: 17, 6, 24, 58, 31, 42
Mean of: 56, 22, 7, 13, 35
Mean of: 20, 54, 13, 54, 48, 53
Mean of: 54, 39, 20, 46, 44, 13, 41
Mean of: 52, 14, 46, 55, 52
Mean of: 36, 30, 17, 48, 40, 52
Mean of: 38, 52, 15, 8, 47, 35, 55, 57

with answer key

Median

Class 7–8 · Worksheet 3 · set 88

Name:Date:Score: / 8

Find the median.

Median of: 73, 17, 63, 48, 19, 74, 7, 35, 83
Median of: 20, 6, 42, 37, 53, 85, 12, 55
Median of: 21, 67, 85, 36, 12, 42, 49, 84, 36
Median of: 65, 81, 45, 6, 70
Median of: 45, 5, 68, 42, 27, 69, 61, 48, 63
Median of: 76, 31, 87, 31, 11
Median of: 42, 23, 66, 7, 58, 70, 31, 23, 75
Median of: 63, 30, 35, 27, 41, 11, 33, 15, 49, 77

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 88

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

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

x	2	7	12	17	22
f	1	12	11	7	3

x	5	7	9	11	13
f	7	10	6	11	9

x	4	8	12	16	20
f	2	3	3	9	5

x	7	12	17	22	27
f	12	4	2	5	10

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 88

Name:Date:Score: / 3

Find the mean.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 2 6 4 12 6
Class 10–20 20–30 30–40 40–50 50–60
Frequency 7 13 5 14 13
Class 5–10 10–15 15–20 20–25 25–30
Frequency 8 11 6 10 11

Class	5–10	10–15	15–20	20–25	25–30
Frequency	2	6	4	12	6

Class	10–20	20–30	30–40	40–50	50–60
Frequency	7	13	5	14	13

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

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 88

Name:Date:Score: / 3

Find the median.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 14 15 3 8 4
Class 0–20 20–40 40–60 60–80 80–100
Frequency 14 2 11 6 3
Class 15–20 20–25 25–30 30–35 35–40
Frequency 2 9 2 5 3

Class	0–20	20–40	40–60	60–80	80–100
Frequency	14	15	3	8	4

Class	0–20	20–40	40–60	60–80	80–100
Frequency	14	2	11	6	3

Class	15–20	20–25	25–30	30–35	35–40
Frequency	2	9	2	5	3

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 88

Name:Date:Score: / 3

Find the mode.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 9 11 15 7 5
Class 60–80 80–100 100–120 120–140 140–160
Frequency 3 7 3 15 7
Class 20–30 30–40 40–50 50–60 60–70
Frequency 6 11 6 4 8

Class	10–20	20–30	30–40	40–50	50–60
Frequency	9	11	15	7	5

Class	60–80	80–100	100–120	120–140	140–160
Frequency	3	7	3	15	7

Class	20–30	30–40	40–50	50–60	60–70
Frequency	6	11	6	4	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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