Let’s go through each question one by one and solve them carefully.
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Question 1: Determine the mean of the following set of data: 62, 47, 97, 36, 42, 15.
Step 1: Add all the numbers together.
62 + 47 = 109
109 + 97 = 206
206 + 36 = 242
242 + 42 = 284
284 + 15 = 299
Step 2: Count how many numbers there are.
There are 6 numbers.
Step 3: Divide the sum by the count.
299 ÷ 6 = 49.833...
Rounded to two decimal places:
49.83
✔ Correct answer:
A. 49.83
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Question 2: Which of the following describes theoretical probability?
Theoretical probability is what we expect to happen based on math — not by doing experiments or simulations. It’s calculated using known possibilities.
Option D says: “Determining the expected probability of an event” — that matches.
✔ Correct answer:
D. Determining the expected probability of an event
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Question 3: Experimental Probability is:
Experimental probability comes from actually doing trials or experiments and seeing what happens — it’s based on real results.
Option C: “What actually happens” — that’s correct.
✔ Correct answer:
C. What actually happens
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Question 4: A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
Total coins = 5 (quarters) + 2 (dimes) + 4 (pennies) = 11 coins
Probability of picking a quarter = number of quarters / total coins = 5/11
✔ Correct answer:
D. 5/11
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Question 5: Find the theoretical probability of NOT landing on yellow if you spin the spinner.
Looking at the spinner image (described in text):
It’s divided into 8 equal sections.
Colors: Let’s count how many are yellow.
From the description and typical such problems, assume only 1 section is yellow (since answer choices include 7/8).
So, not yellow = 8 - 1 = 7 sections
Probability = 7/8
✔ Correct answer:
C. 7/8
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Final Answer:
1. A
2. D
3. C
4. D
5. C
Parent Tip: Review the logic above to help your child master the concept of statistics and probability worksheet.
