50+ Mean, Median, and Mode worksheets on Quizizz | Free & Printable - Free Printable

Let's solve each question step by step and explain the reasoning.

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1. What is the median of the numbers: 12, 24, 5, 6, and 32?

Step 1: Arrange the numbers in ascending order:
> 5, 6, 12, 24, 32

Step 2: Find the middle number. Since there are 5 numbers (odd count), the median is the 3rd number.
> Median = 12

✔ Answer: D) 12

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2. What is the mean of the numbers: 12, 24, 5, 6, and 32?

Step 1: Add all numbers:
> 12 + 24 + 5 + 6 + 32 = 79

Step 2: Divide by the number of values (5):
> Mean = 79 ÷ 5 = 15.8 or 15 4/5

✔ Answer: B) 15 4/5

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3. What is the mean of the following numbers: 5, 7, 6, 8, 10, and 15?

Step 1: Add them:
> 5 + 7 + 6 + 8 + 10 + 15 = 51

Step 2: Divide by 6 (number of values):
> 51 ÷ 6 = 8.5 or 8 1/2 (but not listed as an option)

Wait — let’s check the options:
- A) 8
- B) 8 2/6 → which simplifies to 8 1/3 ≈ 8.33
- C) 51
- D) 58

But 51 ÷ 6 = 8.5 → which is not exactly 8 2/6.

Wait — 8 2/6 = 8 + 2/6 = 8 + 1/3 ≈ 8.33, which is not correct.

But perhaps it's a typo or misprint?

Wait — maybe we made a mistake?

Let’s re-add:
> 5 + 7 = 12
> 12 + 6 = 18
> 18 + 8 = 26
> 26 + 10 = 36
> 36 + 15 = 51 ✔

So sum = 51, number of values = 6 → 51 ÷ 6 = 8.5

But none of the options is 8.5.

Option B says "8 2/6" — that’s 8.333..., which is wrong.

But 8 2/6 = 50/6 = 25/3 ≈ 8.33, still not 8.5.

Wait — could it be a typo? Maybe they meant 8 1/2?

But since B is 8 2/6, which is not equal to 8.5, this seems incorrect.

Alternatively, let's see if any option is close.

But none are correct.

Wait — unless I miscalculated?

No — 5+7+6+8+10+15 = 51 → 51 ÷ 6 = 8.5

But look at the choices again:

A) 8
B) 8 2/6 → 8.333...
C) 51
D) 58

None match 8.5.

But wait — option B says "8 2/6", but 8 2/6 = 8 + 2/6 = 8 + 1/3 ≈ 8.33, not 8.5.

But 8.5 = 8 1/2 = 8 3/6, so 8 2/6 is wrong.

So either the answer is not listed, or there's a typo.

But maybe they meant 8 1/2, but it's written as 8 2/6?

Alternatively, perhaps the problem has different numbers?

Wait — no, the numbers are clear.

Wait — maybe the mean is 51 ÷ 6 = 8.5, and 8 2/6 is a misprint for 8 1/2?

But 8 2/6 reduces to 8 1/3, which is not 8.5.

So no correct option?

Wait — let's double-check:

5 + 7 = 12
12 + 6 = 18
18 + 8 = 26
26 + 10 = 36
36 + 15 = 51 → correct.

51 ÷ 6 = 8.5

But 8.5 = 8 1/2 = 17/2, while 8 2/6 = 50/6 = 25/3 ≈ 8.33

So B is wrong.

But perhaps the intended answer is B, assuming a typo?

Alternatively, maybe the numbers are different?

Wait — no.

Wait — maybe the question is asking for something else?

No.

But looking at the options, none are correct.

But perhaps the quiz has a typo.

Alternatively, is it possible that “8 2/6” is meant to be “8.5”?

But 8 2/6 = 8.33, so no.

So this one might have an error.

But let's move on and come back.

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4. What is the mode of the following numbers: 5, 7, 8, 10, and 15?

List: 5, 7, 8, 10, 15

All numbers appear once → no number repeats.

So there is no mode.

But options are:
A) 7
B) 58
C) 51
D) 15

None say "no mode".

But 7 appears once, others too.

So no mode → but if forced to pick, maybe A)?

But that would be incorrect.

Wait — is 7 repeated? No.

So no mode.

But perhaps the list is different?

Wait — the list is: 5, 7, 8, 10, 15 → all unique.

So no mode.

But option A is 7 — maybe someone thinks 7 is most common? But it's not.

So this question may be flawed.

Wait — perhaps I missed something?

No — all numbers appear once.

So no mode.

But maybe the question expects "no mode", but it's not an option.

So likely an error.

But let's keep going.

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5. What is the mode of this sequence: 5, 4, 7, 8, 6, 5, 7, and 8?

List: 5, 4, 7, 8, 6, 5, 7, 8

Count frequencies:
- 5 → 2 times
- 4 → 1
- 7 → 2 times
- 8 → 2 times
- 6 → 1

So 5, 7, and 8 all appear twice → multiple modes: 5, 7, and 8

So mode is 5, 7, and 8

✔ Answer: D) 5, 7, and 8

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6. What is the median of these numbers: 6, 5, 12, 34, and 90?

Arrange in order:
> 5, 6, 12, 34, 90

Middle number (3rd of 5 numbers): 12

✔ Answer: A) 12

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7. What is the median of these numbers: 9, 15, 30, 21, and 5?

Arrange:
> 5, 9, 15, 21, 30

Middle number: 15

✔ Answer: 15 — but wait, options aren't shown.

Wait — the image shows only up to question 7, and options are not visible for Q7.

But based on calculation: median = 15

But since options are missing, we can’t choose.

But let's assume the pattern continues.

Now let's go back and fix earlier issues.

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Revisiting Question 3:

Numbers: 5, 7, 6, 8, 10, 15

Sum = 5+7+6+8+10+15 = 51

Number of values = 6

Mean = 51 ÷ 6 = 8.5

Now, 8.5 = 8 1/2 = 8 3/6, but option B is 8 2/6, which is 8 1/3 ≈ 8.33, so wrong.

But 8 2/6 = 50/6 ≈ 8.33, not 8.5.

So none of the options are correct.

But wait — maybe it's 8 2/6 meaning 8.33, but that's not right.

Alternatively, perhaps the sum is wrong?

5+7=12
12+6=18
18+8=26
26+10=36
36+15=51 → yes.

So mean = 51/6 = 8.5

But option B is 8 2/6 = 50/6 ≈ 8.33 — close but wrong.

So likely a typo in the quiz.

But maybe they meant 8 1/2, and wrote 8 2/6 by mistake?

Or perhaps the numbers are different?

Wait — maybe the list is: 5, 7, 6, 8, 10, 15 — same.

Alternatively, maybe option B is meant to be 8 1/2, but written as 8 2/6?

But 2/6 is 1/3.

So no.

So question 3 has no correct answer.

But let’s check if option B is 8 2/6, and they want us to simplify?

But 8 2/6 = 8 1/3 ≈ 8.33 ≠ 8.5

So incorrect.

But maybe the quiz has a typo.

Alternatively, maybe the sum is 50, not 51?

Let’s try: 5+7+6+8+10+15 = 51 → no.

Unless one number is different.

Wait — perhaps it's 5, 7, 6, 8, 10, 14? Then sum = 50 → 50/6 ≈ 8.33 → then 8 2/6 = 8.33 → matches.

But the number is 15, not 14.

So probably a typo in the quiz.

But for now, we’ll assume the correct answer is 8.5, and option B is closest, but still wrong.

But let’s see: 8 2/6 = 8.33, but 8.5 = 8 1/2 = 8 3/6, so not equal.

So no correct choice.

But perhaps the quiz meant 8 1/2, and wrote 8 2/6 by mistake.

But we’ll note that.

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Question 4: Mode of 5, 7, 8, 10, 15

All appear once → no mode

But options: A) 7, B) 58, C) 51, D) 15

None are "no mode"

So either the question is flawed, or one number is repeated.

But as given, no mode

So possibly a typo.

But let’s suppose it was meant to be: 5, 7, 8, 10, 15, 7 → then 7 appears twice → mode = 7 → A

But as written, no mode

So question 4 also flawed

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Summary of Answers:

1. Median of 12, 24, 5, 6, 32
→ Sorted: 5, 6, 12, 24, 32 → median = 12
✔ D) 12

2. Mean of same numbers
→ Sum = 79, 79 ÷ 5 = 15.8 = 15 4/5
✔ B) 15 4/5

3. Mean of 5, 7, 6, 8, 10, 15
→ Sum = 51, 51 ÷ 6 = 8.5
But options: A) 8, B) 8 2/6 (≈8.33), C) 51, D) 58
→ None correct, but B is closest — but still wrong
Likely typo in quiz — should be 8 1/2 instead of 8 2/6

But if forced, maybe B is intended, but mathematically incorrect

So we'll say: Correct mean is 8.5, but not listed

4. Mode of 5, 7, 8, 10, 15
→ All unique → no mode
But options include 7, 15, etc. → no correct choice
Likely intended to have repeated numbers

5. Mode of 5, 4, 7, 8, 6, 5, 7, 8
→ 5, 7, 8 each appear twice → mode is 5, 7, and 8
✔ D) 5, 7, and 8

6. Median of 6, 5, 12, 34, 90
→ Sorted: 5, 6, 12, 34, 90 → median = 12
✔ A) 12

7. Median of 9, 15, 30, 21, 5
→ Sorted: 5, 9, 15, 21, 30 → median = 15
✔ Answer: 15 (but options not shown)

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Final Answers:

1. D) 12
2. B) 15 4/5
3. Correct answer: 8.5, but none of the options are correct — likely B is intended despite being wrong
4. No mode — none of the options correct
5. D) 5, 7, and 8
6. A) 12
7. 15 (assuming options include it)

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Recommendations:

- Question 3: Likely typo — should be 8 1/2 instead of 8 2/6
- Question 4: Likely missing a repeated number — perhaps 7 appears twice
- Otherwise, the quiz has errors.

But based on correct calculations, here are the answers:

✔ 1. D
✔ 2. B
✘ 3. None correct (should be 8.5)
✘ 4. No mode
✔ 5. D
✔ 6. A
✔ 7. 15

Let me know if you'd like me to continue with the remaining questions (8–10), though they’re not visible in the image.