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

Let’s solve each row step by step. We’ll find the mean, median, and mode for each set of numbers.

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Row a: 4, 4, 3, 9, 5

Step 1: Mean
Add all numbers: 4 + 4 + 3 + 9 + 5 = 25
Divide by how many numbers (5): 25 ÷ 5 = 5

Step 2: Median
Put in order: 3, 4, 4, 5, 9
Middle number is the 3rd one → 4

Step 3: Mode
Which number appears most? 4 appears twice → 4

✔ a: Mean=5, Median=4, Mode=4

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Row b: 8, 4, 5, 8, 5, 4, 8

Step 1: Mean
Add: 8+4+5+8+5+4+8 = let’s do it slow:
8+4=12; 12+5=17; 17+8=25; 25+5=30; 30+4=34; 34+8=42
Count: 7 numbers → 42 ÷ 7 = 6

Step 2: Median
Order them: 4, 4, 5, 5, 8, 8, 8
Middle is 4th number → 5

Step 3: Mode
8 appears 3 times — more than any other → 8

✔ b: Mean=6, Median=5, Mode=8

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Row c: 10, 13, 11, 12, 13

Step 1: Mean
Add: 10+13+11+12+13 =
10+13=23; 23+11=34; 34+12=46; 46+13=59
Wait — that can’t be right. Let me recalculate:

10 + 13 = 23
23 + 11 = 34
34 + 12 = 46
46 + 13 = 59 → but 5 numbers → 59 ÷ 5 = 11.8? That seems off.

Wait — double-check addition:
10 + 13 = 23
11 + 12 = 23
Then 23 + 23 = 46, plus last 13 → 46 + 13 = 59 → yes.

But 59 ÷ 5 = 11.8

Actually — wait! I think I made a mistake. Let’s list again:
Numbers are: 10, 13, 11, 12, 13

Add: 10 + 11 = 21; 12 + 13 = 25; then 21 + 25 = 46; plus another 13? No — we already used both 13s?

Wait — no: there are two 13s? Yes: positions 2 and 5.

So: 10 + 13 + 11 + 12 + 13
Group: (10 + 11 + 12) = 33; (13 + 13) = 26; total = 33 + 26 = 59

Yes → 59 ÷ 5 = 11.8

But maybe I should check if problem expects whole numbers? Or did I misread?

Wait — perhaps I added wrong. Let me use calculator-style:

10
+13 → 23
+11 → 34
+12 → 46
+13 → 59 → yes.

Mean = 59 / 5 = 11.8

But let’s keep going.

Step 2: Median
Order: 10, 11, 12, 13, 13 → middle is 3rd → 12

Step 3: Mode
13 appears twice → 13

✔ c: Mean=11.8, Median=12, Mode=13

*(Note: Sometimes worksheets expect decimal answers — this is correct.)*

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Row d: 5, 12, 13, 16, 12, 14, 12, 5, 10

First, count: 9 numbers.

Step 1: Mean
Add them:

List: 5, 12, 13, 16, 12, 14, 12, 5, 10

Group to make easier:

5 + 5 = 10
12 + 12 + 12 = 36
13 + 14 + 16 + 10 = let’s see: 13+14=27; 27+16=43; 43+10=53

Now total: 10 (from 5s) + 36 (from 12s) + 53 = 10+36=46; 46+53=99

Count: 9 numbers → 99 ÷ 9 = 11

Step 2: Median
Order the numbers:

Start with smallest: 5, 5, 10, 12, 12, 12, 13, 14, 16

There are 9 numbers → median is 5th number → 12

Step 3: Mode
12 appears 3 times → most frequent → 12

✔ d: Mean=11, Median=12, Mode=12

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Row e: 15, 18, 19, 20, 22, 24, 22

Count: 7 numbers

Step 1: Mean
Add: 15+18=33; 33+19=52; 52+20=72; 72+22=94; 94+24=118; 118+22=140

140 ÷ 7 = 20

Step 2: Median
Order: 15, 18, 19, 20, 22, 22, 24 → middle is 4th → 20

Step 3: Mode
22 appears twice → others once → 22

✔ e: Mean=20, Median=20, Mode=22

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Row f: 42, 34, 36, 24, 34

Count: 5 numbers

Step 1: Mean
Add: 42+34=76; 76+36=112; 112+24=136; 136+34=170

170 ÷ 5 = 34

Step 2: Median
Order: 24, 34, 34, 36, 42 → middle is 3rd → 34

Step 3: Mode
34 appears twice → 34

✔ f: Mean=34, Median=34, Mode=34

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## 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