Mean, median and mode worksheets | Worsheets library - Free Printable

Let’s solve each set step by step. We’ll find the mean (average), median (middle number when sorted), and mode (most frequent number) for each group.

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a. 4, 4, 3, 9, 5

First, sort them:
→ 3, 4, 4, 5, 9

Mean: Add all numbers → 3 + 4 + 4 + 5 + 9 = 25
Divide by count (5 numbers): 25 5 = 5

Median: Middle of sorted list → 3rd number is 4

Mode: Most repeated → 4 appears twice, others once → 4

✔ Mean: 5, Median: 4, Mode: 4

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b. 8, 4, 5, 8, 5, 4, 8

Sort them:
→ 4, 4, 5, 5, 8, 8, 8

Mean: 4+4+5+5+8+8+8 = let’s add:
4+4=8; 8+5=13; 13+5=18; 18+8=26; 26+8=34; 34+8=42
Total = 42, count = 7 → 42 ÷ 7 = 6

Median: 7 numbers → middle is 4th → 5

Mode: 8 appears three times → most frequent → 8

✔ Mean: 6, Median: 5, Mode: 8

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c. 10, 13, 11, 12, 13

Sort:
→ 10, 11, 12, 13, 13

Mean: 10+11+12+13+13 =
10+11=21; 21+12=33; 33+13=46; 46+13=59 → 59 5 = 11.8

Wait — let me double-check:
10 + 11 = 21
21 + 12 = 33
33 + 13 = 46
46 + 13 = 59 → yes, 59 ÷ 5 = 11.8

But maybe we should write as fraction? No, decimal is fine unless specified.

Actually, let me check again:
10 + 13 = 23
11 + 12 = 23
Plus another 13 → 23 + 23 = 46 + 13 = 59 → correct.

So mean = 59/5 = 11.8

Median: 5 numbers → 3rd is 12

Mode: 13 appears twice → 13

✔ Mean: 11.8, Median: 12, Mode: 13

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d. 5, 12, 13, 16, 12, 14, 12, 5, 10

Sort them:
→ 5, 5, 10, 12, 12, 12, 13, 14, 16

Count: 9 numbers

Mean: Add all:
5+5=10
10+10=20
20+12=32
32+12=44
44+12=56
56+13=69
69+14=83
83+16=99 → total = 99
99 ÷ 9 = 11

Median: 9 numbers → 5th is middle → look at sorted:
1st:5, 2nd:5, 3rd:10, 4th:12, 5th:12 → so 12

Mode: 12 appears three times → 12

✔ Mean: 11, Median: 12, Mode: 12

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e. 15, 18, 19, 20, 22, 24, 22

Sort:
→ 15, 18, 19, 20, 22, 22, 24

Count: 7

Mean: 15+18=33; 33+19=52; 52+20=72; 72+22=94; 94+22=116; 116+24=140
140 ÷ 7 = 20

Median: 7 numbers → 4th is middle → 20

Mode: 22 appears twice → 22

✔ Mean: 20, Median: 20, Mode: 22

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f. 42, 34, 36, 24, 34

Sort:
→ 24, 34, 34, 36, 42

Mean: 24+34=58; 58+34=92; 92+36=128; 128+42=170
170 ÷ 5 = 34

Median: 5 numbers → 3rd is 34

Mode: 34 appears twice → 34

✔ Mean: 34, Median: 34, Mode: 34

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Now, compiling final answers in table format as requested:

Final Answer:
a. Mean: 5, Median: 4, Mode: 4
b. Mean: 6, Median: 5, Mode: 8
c. Mean: 11.8, Median: 12, Mode: 13
d. Mean: 11, Median: 12, Mode: 12
e. Mean: 20, Median: 20, Mode: 22
f. Mean: 34, Median: 34, Mode: 34