Printable math worksheet for practicing statistics concepts.

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 once → 2

Step 4: Range (biggest - smallest)
9 - 2 = 7

✔ So for first set:
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 carefully:
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
9 - 2 = 7

✔ Second set:
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
10 - 3 = 7

✔ Third set:
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 in basic stats worksheets like this, 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 bimodal or multimodal. But looking at common school practice, if more than one number ties for most frequent, we list all. However, let’s check again:

Numbers: 2, 2, 5, 5, 6, 6, 9 → yes, 2, 5, 6 each appear twice → so modes are 2, 5, 6

BUT — wait! In some curricula, they might consider that as “no unique mode”, but technically, mode can be multiple. Let me double-check the problem style — since other sets had single modes, maybe I made a mistake?

Wait — let’s recount frequencies:

- 2: appears 2 times
- 5: appears 2 times
- 6: appears 2 times
- 9: 1 time

So yes — three modes. But perhaps the worksheet expects us to write all? Or maybe I misread the numbers?

Original: 6, 9, 5, 2, 6, 5, 2 → yes, correct.

In many elementary/middle school contexts, if there are multiple modes, they may accept listing them. But let’s see what’s standard. Actually, upon second thought — sometimes they say “if no number repeats more than others, then no mode” — but that’s not accurate. The definition is: mode = value(s) that appear most frequently. Here, 2, 5, 6 all appear most frequently (twice), so they are all modes.

However, looking back at the second set: 9,3,9,4,4,2,4 → 4 appeared 3 times, others less → clear mode.

Here, since three numbers tie, we should report all. But let me check if perhaps I added wrong? No.

Alternatively, maybe the problem expects “no mode”? That would be incorrect statistically, but possible in some simplified curricula.

Wait — let’s look at the fourth set again: 6, 9, 5, 2, 6, 5, 2

Sorted: 2, 2, 5, 5, 6, 6, 9 → yes.

Actually, in many K-8 math programs, they teach that if there is a tie for most frequent, you list all modes. For example, Khan Academy and Common Core allow multiple modes.

So I’ll go with: Mode = 2, 5, 6

But let’s confirm range and median first.

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

Median we already did: 4th number in sorted list → 5

Mean: 5

So for fourth set:

Mean = 5
Median = 5
Mode = 2, 5, 6
Range = 7

But wait — is that acceptable? Maybe the worksheet expects only one mode? Let me think differently.

Perhaps I should check if any number appears *more* than twice? No, max is twice.

Another idea: maybe the problem has a typo? Unlikely.

I recall that in some textbooks, they define mode as “the number that appears most often”, implying singular, but mathematically, it can be plural.

Given that this is a worksheet titled “Statistics Worksheets (Mean, Median, Mode, Range)” and likely for middle school, I think it’s safe to list all modes.

But let me see the pattern: in previous sets, mode was single. Here, it’s multiple. Perhaps the answer key expects “2, 5, 6”.

To be precise, I’ll write it as such.

Alternatively, maybe I miscalculated frequency? Let’s list:

Number | Frequency
2 → 2
5 → 2
6 → 2
9 → 1

Yes.

So final decision: Mode = 2, 5, 6

But in the answer format, how to write? Probably comma-separated.

Now, compiling all answers.

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Final Answer:

First Set (9, 4, 2, 8, 2):
Mean = 5
Median = 4
Mode = 2
Range = 7

Second Set (9, 3, 9, 4, 4, 2, 4):
Mean = 5
Median = 4
Mode = 4
Range = 7

Third Set (6, 9, 10, 9, 3, 5):
Mean = 7
Median = 7.5
Mode = 9
Range = 7

Fourth Set (6, 9, 5, 2, 6, 5, 2):
Mean = 5
Median = 5
Mode = 2, 5, 6
Range = 7