Mean, Median, Mode Worksheets (printable, online, answers, examples) - Free Printable

Let’s solve each set of numbers step by step. We’ll find the Mean, Median, Mode, and Range for each group.

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First Set: 9, 4, 2, 8, 2

Step 1: Mean (average)
Add all numbers: 9 + 4 + 2 + 8 + 2 = 25
Count how many numbers: 5
Mean = 25 ÷ 5 = 5

Step 2: Median (middle number when sorted)
Sort the numbers: 2, 2, 4, 8, 9
Middle number is the 3rd one → 4

Step 3: Mode (most frequent number)
2 appears twice, others appear once → 2

Step 4: Range (biggest minus smallest)
Biggest = 9, Smallest = 2 → 9 - 2 = 7

✔ First Set Answers:
Mean = 5
Median = 4
Mode = 2
Range = 7

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Second Set: 9, 3, 9, 4, 4, 2, 4

Step 1: Mean
Add: 9 + 3 + 9 + 4 + 4 + 2 + 4 = let’s add step by step:
9+3=12; 12+9=21; 21+4=25; 25+4=29; 29+2=31; 31+4=35
Count: 7 numbers
Mean = 35 ÷ 7 = 5

Step 2: Median
Sort: 2, 3, 4, 4, 4, 9, 9
Middle is 4th number → 4

Step 3: Mode
4 appears three times → most frequent → 4

Step 4: Range
Biggest = 9, Smallest = 2 → 9 - 2 = 7

✔ Second Set Answers:
Mean = 5
Median = 4
Mode = 4
Range = 7

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Third Set: 6, 9, 10, 9, 3, 5

Step 1: Mean
Add: 6 + 9 + 10 + 9 + 3 + 5
6+9=15; 15+10=25; 25+9=34; 34+3=37; 37+5=42
Count: 6 numbers
Mean = 42 ÷ 6 = 7

Step 2: Median
Sort: 3, 5, 6, 9, 9, 10
Even number of values → average of middle two (3rd and 4th): 6 and 9
(6 + 9) ÷ 2 = 15 ÷ 2 = 7.5

Step 3: Mode
9 appears twice, others once → 9

Step 4: Range
Biggest = 10, Smallest = 3 → 10 - 3 = 7

✔ Third Set Answers:
Mean = 7
Median = 7.5
Mode = 9
Range = 7

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Fourth Set: 6, 9, 5, 2, 6, 5, 2

Step 1: Mean
Add: 6 + 9 + 5 + 2 + 6 + 5 + 2
6+9=15; 15+5=20; 20+2=22; 22+6=28; 28+5=33; 33+2=35
Count: 7 numbers
Mean = 35 ÷ 7 = 5

Step 2: Median
Sort: 2, 2, 5, 5, 6, 6, 9
Middle is 4th number → 5

Step 3: Mode
2 appears twice, 5 appears twice, 6 appears twice → multiple modes?
But usually in school worksheets, if there are multiple modes, we list them all — but sometimes they expect you to say “no mode” or pick one? Wait — actually, here 2, 5, and 6 each appear twice. So it’s multimodal. But looking at typical grade-level expectations, maybe they want all modes listed? However, in many cases, if more than one number ties for most frequent, we say “there is no single mode” — BUT that’s not accurate. Actually, mode can be multiple. Let me check standard practice.

In elementary/middle school math, if multiple numbers tie for highest frequency, they often accept listing all — OR sometimes they consider it “no mode” if none stands out. But technically, mode is any value that appears most frequently — so here, 2, 5, and 6 are all modes.

Wait — let’s count again:

Numbers: 6, 9, 5, 2, 6, 5, 2
→ 2: appears 2 times
→ 5: appears 2 times
→ 6: appears 2 times
→ 9: appears 1 time

So yes — three modes: 2, 5, 6.

But some curricula might say “if there is a tie, there is no mode” — that’s outdated. Modern definition allows multiple modes.

However, looking at the worksheet style, and since other sets had clear single modes, perhaps this is intended to have multiple modes? Or maybe I made a mistake?

Wait — let me double-check the data: “6, 9, 5, 2, 6, 5, 2” — yes, that’s correct.

Actually, in many standardized tests and textbooks, if multiple values share the highest frequency, they are all considered modes. So we should report all.

But let’s see what’s common in such worksheets. Since the problem doesn’t specify, and to match likely expected answer, perhaps they expect us to list all? Or maybe just say “2, 5, 6”?

Alternatively, maybe I miscounted? Let me write frequencies:

- 2: positions 4 and 7 → 2 times
- 5: positions 3 and 6 → 2 times
- 6: positions 1 and 5 → 2 times
- 9: position 2 → 1 time

Yes — so multimodal with modes 2, 5, 6.

But in some contexts, especially lower grades, they might avoid this case — but since it’s given, we must handle it.

I think safest is to list all modes.

Step 4: Range
Biggest = 9, Smallest = 2 → 9 - 2 = 7

✔ Fourth Set Answers:
Mean = 5
Median = 5
Mode = 2, 5, 6 (or multimodal)
Range = 7

But wait — let me check if the problem expects a single mode. Looking back at previous sets, they all had one clear mode. Maybe this is a trick? Or perhaps I should note it as “no unique mode”? But that’s not standard.

Actually, upon second thought — in many K-8 math programs, if there is a tie for most frequent, they still call those numbers the modes. For example, Khan Academy and Common Core allow multiple modes.

So I’ll go with: Mode = 2, 5, 6

But to make it fit the format, perhaps write “2, 5, 6”

Alternatively, maybe the worksheet expects only one — but that would be incorrect.

Another idea: perhaps I misread the numbers? Let me re-read the fourth set from the image description: “6, 9, 5, 2, 6, 5, 2” — yes.

Okay, I’ll proceed with multiple modes.

Final Answer:

First Set:
Mean = 5
Median = 4
Mode = 2
Range = 7

Second Set:
Mean = 5
Median = 4
Mode = 4
Range = 7

Third Set:
Mean = 7
Median = 7.5
Mode = 9
Range = 7

Fourth Set:
Mean = 5
Median = 5
Mode = 2, 5, 6
Range = 7

But to match the blank format, perhaps write Mode as "2, 5, 6" for the last one.

Now, compiling final answers clearly.

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Final Answer:
For 9, 4, 2, 8, 2:
Mean = 5
Median = 4
Mode = 2
Range = 7

For 9, 3, 9, 4, 4, 2, 4:
Mean = 5
Median = 4
Mode = 4
Range = 7

For 6, 9, 10, 9, 3, 5:
Mean = 7
Median = 7.5
Mode = 9
Range = 7

For 6, 9, 5, 2, 6, 5, 2:
Mean = 5
Median = 5
Mode = 2, 5, 6
Range = 7