Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 35

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 35

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 13, 9, 7, 20, 17, 20
Mean, median and mode of: 20, 11, 6, 9, 11
Mean, median and mode of: 2, 25, 17, 20, 12, 5, 7, 22, 17
Mean, median and mode of: 3, 6, 4, 13, 13
Mean, median and mode of: 17, 13, 10, 26, 13
Mean, median and mode of: 20, 25, 9, 29, 30, 15, 27, 14, 15

with answer key

Mean

Class 6–7 · Worksheet 2 · set 35

Name:Date:Score: / 8

Find the mean.

Mean of: 39, 48, 9, 31, 46, 7, 27, 50
Mean of: 18, 29, 15, 31, 28, 33
Mean of: 55, 23, 40, 46, 53, 54
Mean of: 29, 12, 44, 34, 14
Mean of: 53, 11, 6, 44, 26, 28
Mean of: 17, 33, 24, 30, 38, 34, 26
Mean of: 6, 8, 16, 19, 21, 36, 42, 41
Mean of: 52, 21, 9, 35, 48

with answer key

Median

Class 7–8 · Worksheet 3 · set 35

Name:Date:Score: / 8

Find the median.

Median of: 12, 16, 60, 22, 17, 15, 27, 46
Median of: 48, 17, 73, 47, 88, 40
Median of: 56, 7, 21, 19, 90, 31
Median of: 69, 54, 78, 23, 66, 46, 17, 60
Median of: 89, 14, 71, 35, 35, 18, 46, 25, 85, 48
Median of: 82, 14, 46, 62, 19, 27, 47, 64, 84
Median of: 9, 87, 31, 80, 63, 25, 82, 32, 19
Median of: 38, 8, 62, 47, 67, 59, 53, 18, 49

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 35

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 7 11 15 19 23
f 6 3 1 7 12
x 4 9 14 19 24
f 11 6 5 11 11
x 8 10 12 14 16
f 4 10 3 2 12
x 3 6 9 12 15
f 9 2 2 1 11

x	7	11	15	19	23
f	6	3	1	7	12

x	4	9	14	19	24
f	11	6	5	11	11

x	8	10	12	14	16
f	4	10	3	2	12

x	3	6	9	12	15
f	9	2	2	1	11

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 35

Name:Date:Score: / 3

Find the mean.

Class 0–10 10–20 20–30 30–40 40–50
Frequency 8 14 3 4 13
Class 0–5 5–10 10–15 15–20 20–25
Frequency 11 15 9 3 6
Class 40–60 60–80 80–100 100–120 120–140
Frequency 6 4 5 6 3

Class	0–10	10–20	20–30	30–40	40–50
Frequency	8	14	3	4	13

Class	0–5	5–10	10–15	15–20	20–25
Frequency	11	15	9	3	6

Class	40–60	60–80	80–100	100–120	120–140
Frequency	6	4	5	6	3

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 35

Name:Date:Score: / 3

Find the median.

Class 10–20 20–30 30–40 40–50 50–60
Frequency 15 6 11 4 5
Class 60–80 80–100 100–120 120–140 140–160
Frequency 9 11 11 6 12
Class 0–5 5–10 10–15 15–20 20–25
Frequency 10 6 10 6 13

Class	10–20	20–30	30–40	40–50	50–60
Frequency	15	6	11	4	5

Class	60–80	80–100	100–120	120–140	140–160
Frequency	9	11	11	6	12

Class	0–5	5–10	10–15	15–20	20–25
Frequency	10	6	10	6	13

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 35

Name:Date:Score: / 3

Find the mode.

Class 30–40 40–50 50–60 60–70 70–80
Frequency 4 13 4 9 6
Class 5–10 10–15 15–20 20–25 25–30
Frequency 13 15 10 9 13
Class 60–80 80–100 100–120 120–140 140–160
Frequency 6 9 3 10 7

Class	30–40	40–50	50–60	60–70	70–80
Frequency	4	13	4	9	6

Class	5–10	10–15	15–20	20–25	25–30
Frequency	13	15	10	9	13

Class	60–80	80–100	100–120	120–140	140–160
Frequency	6	9	3	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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