Math worksheet for finding mean, median, and mode of given number sets.

Explanation:
We need to find the mean, median, and mode for each set of numbers.

Let’s recall what each term means:

- Mean = sum of all numbers ÷ how many numbers there are
- Median = middle number when the numbers are in order (if even count, average the two middle numbers)
- Mode = number(s) that appear most often (if all appear once, no mode; if multiple tie for most, list all)

Now let’s go one by one.

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a. 4, 4, 3, 9, 5

Step 1: Order them → 3, 4, 4, 5, 9
Count = 5 (odd), so median is the 3rd number → 4

Sum = 4 + 4 + 3 + 9 + 5 = 25
Mean = 25 ÷ 5 = 5

Mode: 4 appears twice, others once → 4

✔ a: Mean = 5, Median = 4, Mode = 4

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

Order: 4, 4, 5, 5, 8, 8, 8
Count = 7 (odd), median = 4th number → 5

Sum = 8+4+5+8+5+4+8 = let’s add:
8+4=12, +5=17, +8=25, +5=30, +4=34, +8=42
Mean = 42 ÷ 7 = 6

Mode: 8 appears 3 times, 4 and 5 appear 2 times → 8

✔ b: Mean = 6, Median = 5, Mode = 8

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c. 10, 13, 11, 12, 13

Order: 10, 11, 12, 13, 13
Count = 5 → median = 3rd = 12

Sum = 10+13+11+12+13 =
10+13=23, +11=34, +12=46, +13=59
Mean = 59 ÷ 5 = 11.8

Mode: 13 appears twice, others once → 13

✔ c: Mean = 11.8, Median = 12, Mode = 13

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

Order: 5, 5, 10, 12, 12, 12, 13, 14, 16
Count = 9 (odd) → median = 5th number = 12

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

Mode: 12 appears 3 times, 5 appears 2 times → 12

✔ d: Mean = 11, Median = 12, Mode = 12

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

Order: 15, 18, 19, 20, 22, 22, 24
Count = 7 → median = 4th = 20

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

Mode: 22 appears twice, others once → 22

✔ e: Mean = 20, Median = 20, Mode = 22

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f. 42, 34, 36, 24, 34

Order: 24, 34, 34, 36, 42
Count = 5 → median = 3rd = 34

Sum: 42+34=76, +36=112, +24=136, +34=170
Wait — better: 24 + 34 + 34 + 36 + 42
24+42 = 66
34+36 = 70
66 + 70 = 136
136 + 34 = 170
Mean = 170 ÷ 5 = 34

Mode: 34 appears twice → 34

✔ f: Mean = 34, Median = 34, Mode = 34

Now double-check all calculations quickly:

a: sum 25, /5 = 5 ✔️
b: sum 42, /7 = 6 ✔️
c: sum 59, /5 = 11.8 ✔️
d: sum 99, /9 = 11 ✔️
e: sum 140, /7 = 20 ✔️
f: sum 170, /5 = 34 ✔️

Medians and modes also match ordered lists.

All correct.

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