Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 4

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 4

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 11, 30, 17, 2, 14, 25, 13, 10, 10
Mean, median and mode of: 5, 25, 23, 8, 5
Mean, median and mode of: 9, 6, 6, 27, 29, 29, 23, 29
Mean, median and mode of: 20, 22, 20, 17, 26, 20
Mean, median and mode of: 7, 8, 30, 10, 20, 2, 2
Mean, median and mode of: 25, 18, 30, 3, 16, 8, 26, 30, 30

with answer key

Mean

Class 6–7 · Worksheet 2 · set 4

Name:Date:Score: / 8

Find the mean.

Mean of: 15, 11, 26, 31, 48, 36, 28
Mean of: 29, 26, 50, 41, 38, 39, 57
Mean of: 46, 7, 40, 40, 51, 21, 11, 32
Mean of: 50, 32, 40, 31, 36
Mean of: 24, 5, 36, 8, 20, 20
Mean of: 21, 36, 21, 44, 7, 22, 48
Mean of: 58, 5, 24, 49, 58
Mean of: 15, 59, 15, 39, 6, 37, 49, 35

with answer key

Median

Class 7–8 · Worksheet 3 · set 4

Name:Date:Score: / 8

Find the median.

Median of: 36, 16, 7, 60, 74
Median of: 16, 82, 38, 66, 67
Median of: 42, 25, 68, 49, 45, 54, 59, 11, 48, 64
Median of: 78, 65, 81, 34, 21, 87, 58, 55, 12, 23
Median of: 90, 71, 73, 35, 44, 8, 58
Median of: 41, 62, 68, 80, 35
Median of: 74, 56, 68, 33, 23, 19, 26
Median of: 21, 39, 22, 80, 74

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 4

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 10 13 16 19 22
f 2 3 1 11 9
x 10 14 18 22 26
f 9 7 12 7 11
x 6 8 10 12 14
f 3 9 4 5 10
x 10 15 20 25 30
f 10 10 2 5 11

x	10	13	16	19	22
f	2	3	1	11	9

x	10	14	18	22	26
f	9	7	12	7	11

x	6	8	10	12	14
f	3	9	4	5	10

x	10	15	20	25	30
f	10	10	2	5	11

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 4

Name:Date:Score: / 3

Find the mean.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 3 13 5 3 10
Class 20–30 30–40 40–50 50–60 60–70
Frequency 15 10 3 10 9
Class 20–40 40–60 60–80 80–100 100–120
Frequency 15 6 13 7 5

Class	0–20	20–40	40–60	60–80	80–100
Frequency	3	13	5	3	10

Class	20–30	30–40	40–50	50–60	60–70
Frequency	15	10	3	10	9

Class	20–40	40–60	60–80	80–100	100–120
Frequency	15	6	13	7	5

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 4

Name:Date:Score: / 3

Find the median.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 7 8 4 7 10
Class 15–20 20–25 25–30 30–35 35–40
Frequency 4 13 15 8 2
Class 20–40 40–60 60–80 80–100 100–120
Frequency 14 9 7 14 3

Class	0–20	20–40	40–60	60–80	80–100
Frequency	7	8	4	7	10

Class	15–20	20–25	25–30	30–35	35–40
Frequency	4	13	15	8	2

Class	20–40	40–60	60–80	80–100	100–120
Frequency	14	9	7	14	3

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 4

Name:Date:Score: / 3

Find the mode.

Class 5–10 10–15 15–20 20–25 25–30
Frequency 7 8 13 2 6
Class 60–80 80–100 100–120 120–140 140–160
Frequency 13 12 4 6 10
Class 10–20 20–30 30–40 40–50 50–60
Frequency 6 13 5 14 6

Class	5–10	10–15	15–20	20–25	25–30
Frequency	7	8	13	2	6

Class	60–80	80–100	100–120	120–140	140–160
Frequency	13	12	4	6	10

Class	10–20	20–30	30–40	40–50	50–60
Frequency	6	13	5	14	6

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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