Practice worksheet for calculating mean, median, mode, and range of number sets.

Let’s solve each problem step by step. For each set of numbers, we’ll find:

- Mean: Add all numbers, then divide by how many numbers there are.
- Median: Put numbers in order from smallest to largest. If odd count, pick the middle one. If even count, average the two middle ones.
- Mode: The number that appears most often. If no number repeats, say “no mode”. If multiple numbers tie for most frequent, list them all.
- Range: Biggest number minus smallest number.

We’ll go one by one.

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Problem 1: 24, 31, 12, 38, 12, 15

Step 1: Sort → 12, 12, 15, 24, 31, 38
Count = 6 (even)

Mean: (12+12+15+24+31+38) = 132 → 132 ÷ 6 = 22

Median: Middle two are 15 and 24 → (15+24)/2 = 19.5

Mode: 12 appears twice, others once → 12

Range: 38 - 12 = 26

✔ Final for #1: Mean=22, Median=19.5, Mode=12, Range=26

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Problem 2: 5, 28, 16, 32, 5, 16, 48, 29, 5, 35

Sort → 5, 5, 5, 16, 16, 28, 29, 32, 35, 48
Count = 10 (even)

Sum: 5+5+5+16+16+28+29+32+35+48 = let’s add:

5×3 = 15
16×2 = 32
Then 28+29=57; 32+35=67; +48 → total so far: 15+32=47; 47+57=104; 104+67=171; 171+48=219

Wait — double-check sum:

5+5+5 = 15
16+16 = 32 → total 47
28 → 75
29 → 104
32 → 136
35 → 171
48 → 219 ✔

Mean: 219 ÷ 10 = 21.9

Median: 5th and 6th numbers → 16 and 28 → (16+28)/2 = 22

Mode: 5 appears 3 times → 5

Range: 48 - 5 = 43

✔ Final for #2: Mean=21.9, Median=22, Mode=5, Range=43

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Problem 3: 53, 13, 34, 41, 26, 61, 34, 13, 69

Sort → 13, 13, 26, 34, 34, 41, 53, 61, 69
Count = 9 (odd)

Sum: 13+13=26; +26=52; +34=86; +34=120; +41=161; +53=214; +61=275; +69=344

Mean: 344 ÷ 9 ≈ 38.222... → Let’s keep as fraction or decimal? Since others used decimals, we’ll use 38.2 (rounded to tenths). But better to be precise: 344 ÷ 9 = 38.222... → maybe write as 38.2 if allowed, but let’s check exact value later if needed. Actually, for accuracy, we can leave as 38.2 or calculate exactly.

But since this is for students, rounding to one decimal is fine unless specified. We’ll do 38.2.

Actually, let me recalculate sum:

13+13 = 26
26+26 = 52
52+34 = 86
86+34 = 120
120+41 = 161
161+53 = 214
214+61 = 275
275+69 = 344 ✔

344 ÷ 9 = 38.222... → 38.2 (to nearest tenth)

Median: 5th number → 34

Mode: 13 and 34 both appear twice → 13 and 34

Range: 69 - 13 = 56

✔ Final for #3: Mean≈38.2, Median=34, Mode=13 & 34, Range=56

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Problem 4: 85, 58, 72, 85, 46, 93

Sort → 46, 58, 72, 85, 85, 93
Count = 6 (even)

Sum: 46+58=104; +72=176; +85=261; +85=346; +93=439

Mean: 439 ÷ 6 ≈ 73.166... → 73.2

Median: 3rd and 4th → 72 and 85 → (72+85)/2 = 157/2 = 78.5

Mode: 85 appears twice → 85

Range: 93 - 46 = 47

✔ Final for #4: Mean≈73.2, Median=78.5, Mode=85, Range=47

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Problem 5: 92, 63, 22, 80, 63, 71, 44, 35

Sort → 22, 35, 44, 63, 63, 71, 80, 92
Count = 8 (even)

Sum: 22+35=57; +44=101; +63=164; +63=227; +71=298; +80=378; +92=470

Mean: 470 ÷ 8 = 58.75

Median: 4th and 5th → 63 and 63 → (63+63)/2 = 63

Mode: 63 appears twice → 63

Range: 92 - 22 = 70

✔ Final for #5: Mean=58.75, Median=63, Mode=63, Range=70

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Problem 6: 39, 82, 74, 96, 64, 52, 74

Sort → 39, 52, 64, 74, 74, 82, 96
Count = 7 (odd)

Sum: 39+52=91; +64=155; +74=229; +74=303; +82=385; +96=481

Mean: 481 ÷ 7 ≈ 68.714... → 68.7

Median: 4th number → 74

Mode: 74 appears twice → 74

Range: 96 - 39 = 57

✔ Final for #6: Mean≈68.7, Median=74, Mode=74, Range=57

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Problem 7: 72, 43, 15, 66, 32, 72, 52, 19, 28, 81

Sort → 15, 19, 28, 32, 43, 52, 66, 72, 72, 81
Count = 10 (even)

Sum: 15+19=34; +28=62; +32=94; +43=137; +52=189; +66=255; +72=327; +72=399; +81=480

Mean: 480 ÷ 10 = 48

Median: 5th and 6th → 43 and 52 → (43+52)/2 = 95/2 = 47.5

Mode: 72 appears twice → 72

Range: 81 - 15 = 66

✔ Final for #7: Mean=48, Median=47.5, Mode=72, Range=66

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Problem 8: 40, 90, 36, 68, 90, 11, 88, 54

Sort → 11, 36, 40, 54, 68, 88, 90, 90
Count = 8 (even)

Sum: 11+36=47; +40=87; +54=141; +68=209; +88=297; +90=387; +90=477

Mean: 477 ÷ 8 = 59.625 → 59.6

Median: 4th and 5th → 54 and 68 → (54+68)/2 = 122/2 = 61

Mode: 90 appears twice → 90

Range: 90 - 11 = 79

✔ Final for #8: Mean≈59.6, Median=61, Mode=90, Range=79

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Problem 9: 12, 46, 32, 18, 26, 41, 46

Sort → 12, 18, 26, 32, 41, 46, 46
Count = 7 (odd)

Sum: 12+18=30; +26=56; +32=88; +41=129; +46=175; +46=221

Mean: 221 ÷ 7 ≈ 31.571... → 31.6

Median: 4th number → 32

Mode: 46 appears twice → 46

Range: 46 - 12 = 34

✔ Final for #9: Mean≈31.6, Median=32, Mode=46, Range=34

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Problem 10: 63, 40, 51, 70, 36, 21, 51, 28, 19

Sort → 19, 21, 28, 36, 40, 51, 51, 63, 70
Count = 9 (odd)

Sum: 19+21=40; +28=68; +36=104; +40=144; +51=195; +51=246; +63=309; +70=379

Mean: 379 ÷ 9 ≈ 42.111... → 42.1

Median: 5th number → 40

Mode: 51 appears twice → 51

Range: 70 - 19 = 51

✔ Final for #10: Mean≈42.1, Median=40, Mode=51, Range=51

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Now, compiling all final answers clearly:

Final Answer:
1) Mean: 22, Median: 19.5, Mode: 12, Range: 26
2) Mean: 21.9, Median: 22, Mode: 5, Range: 43
3) Mean: 38.2, Median: 34, Mode: 13 and 34, Range: 56
4) Mean: 73.2, Median: 78.5, Mode: 85, Range: 47
5) Mean: 58.75, Median: 63, Mode: 63, Range: 70
6) Mean: 68.7, Median: 74, Mode: 74, Range: 57
7) Mean: 48, Median: 47.5, Mode: 72, Range: 66
8) Mean: 59.6, Median: 61, Mode: 90, Range: 79
9) Mean: 31.6, Median: 32, Mode: 46, Range: 34
10) Mean: 42.1, Median: 40, Mode: 51, Range: 51