Free · Class 6–10 · 7 worksheets · answer keys · practise online · set 85

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.

💡 Learn it first

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.

📊 The worksheets

🔄 New set of questions

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 85

Name:Date:Score: / 6

Find the mean, median and mode.

Mean, median and mode of: 24, 16, 30, 2, 29, 14, 30
Mean, median and mode of: 27, 7, 30, 9, 6, 3, 6
Mean, median and mode of: 27, 3, 15, 6, 23, 23
Mean, median and mode of: 9, 11, 6, 20, 20
Mean, median and mode of: 20, 9, 23, 13, 24, 25, 15, 19, 13
Mean, median and mode of: 16, 7, 11, 24, 7

with answer key

Mean

Class 6–7 · Worksheet 2 · set 85

Name:Date:Score: / 8

Find the mean.

Mean of: 48, 25, 18, 59, 21
Mean of: 47, 16, 60, 23, 19
Mean of: 15, 16, 42, 54, 25, 57, 22
Mean of: 22, 15, 7, 41, 31
Mean of: 27, 15, 41, 33, 23, 60
Mean of: 29, 11, 57, 48, 39, 60, 22, 24
Mean of: 19, 6, 42, 26, 17, 52, 32, 40
Mean of: 25, 59, 16, 20, 26, 33, 38, 32

with answer key

Median

Class 7–8 · Worksheet 3 · set 85

Name:Date:Score: / 8

Find the median.

Median of: 22, 57, 21, 78, 57, 88, 37, 60
Median of: 48, 67, 63, 19, 50, 14, 75, 10
Median of: 82, 56, 46, 80, 42, 54, 7, 70, 8, 13
Median of: 36, 62, 88, 84, 68, 74, 49
Median of: 8, 54, 38, 5, 25, 86, 69, 67
Median of: 69, 16, 19, 44, 40, 61, 87, 53, 39
Median of: 27, 77, 76, 47, 29, 22, 54, 61, 63
Median of: 32, 14, 34, 34, 59, 71, 38

with answer key

Mean of a frequency table

Class 9 · Worksheet 4 · set 85

Name:Date:Score: / 4

Find the mean (Σfx ÷ Σf).

x 1 2 3 4 5
f 10 5 11 3 4
x 7 11 15 19 23
f 5 12 8 6 2
x 5 9 13 17 21
f 3 9 12 9 3
x 10 15 20 25 30
f 8 5 12 12 11

x	1	2	3	4	5
f	10	5	11	3	4

x	7	11	15	19	23
f	5	12	8	6	2

x	5	9	13	17	21
f	3	9	12	9	3

x	10	15	20	25	30
f	8	5	12	12	11

with answer key

Grouped data — mean

Class 10 · Worksheet 5 · set 85

Name:Date:Score: / 3

Find the mean.

Class 40–60 60–80 80–100 100–120 120–140
Frequency 12 4 9 11 13
Class 0–5 5–10 10–15 15–20 20–25
Frequency 3 13 14 10 6
Class 10–15 15–20 20–25 25–30 30–35
Frequency 15 7 6 14 13

Class	40–60	60–80	80–100	100–120	120–140
Frequency	12	4	9	11	13

Class	0–5	5–10	10–15	15–20	20–25
Frequency	3	13	14	10	6

Class	10–15	15–20	20–25	25–30	30–35
Frequency	15	7	6	14	13

with answer key

Grouped data — median

Class 10 · Worksheet 6 · set 85

Name:Date:Score: / 3

Find the median.

Class 20–30 30–40 40–50 50–60 60–70
Frequency 6 5 4 15 13
Class 40–60 60–80 80–100 100–120 120–140
Frequency 5 6 6 4 15
Class 5–10 10–15 15–20 20–25 25–30
Frequency 7 15 7 14 9

Class	20–30	30–40	40–50	50–60	60–70
Frequency	6	5	4	15	13

Class	40–60	60–80	80–100	100–120	120–140
Frequency	5	6	6	4	15

Class	5–10	10–15	15–20	20–25	25–30
Frequency	7	15	7	14	9

with answer key

Grouped data — mode

Class 10 · Worksheet 7 · set 85

Name:Date:Score: / 3

Find the mode.

Class 0–20 20–40 40–60 60–80 80–100
Frequency 5 5 15 2 2
Class 0–10 10–20 20–30 30–40 40–50
Frequency 8 5 4 6 12
Class 15–20 20–25 25–30 30–35 35–40
Frequency 2 14 5 13 3

Class	0–20	20–40	40–60	60–80	80–100
Frequency	5	5	15	2	2

Class	0–10	10–20	20–30	30–40	40–50
Frequency	8	5	4	6	12

Class	15–20	20–25	25–30	30–35	35–40
Frequency	2	14	5	13	3

with answer key

More worksheets

🎲 Probability worksheet 📐 Trigonometry worksheet Noun worksheets Pronoun worksheets Articles worksheet Tenses worksheet Prepositions worksheet Subtraction worksheets All worksheets

Questions

What is the empirical relation between mean, median and mode?

3 × median = mode + 2 × mean (approximately), used in Class 10 statistics.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

Can my child do this worksheet online, like a quiz?

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.

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

More worksheets

Questions