Statistics and Probability Practice Questions

Common Core (US) · Common Core Math Grade 7 · 146 free MCQs with instant results and detailed explanations.

146
Total
53
Easy
70
Medium
23
Hard

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Sample Questions from Statistics and Probability

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Q1
Easy
A survey shows that 60% of students prefer online classes over in-person classes. If there are 50 students surveyed, how many prefer online classes?
A. 30
B. 25
C. 35
D. 20
Show Answer & Explanation
Correct Answer: A
To find out how many students prefer online classes, we calculate 60% of 50. This is done by multiplying 50 by 0.60, which equals 30. Therefore, 30 students prefer online classes.
Q2
Easy
What is the median of the following set of numbers: 3, 7, 9, 12, 15?
A. 9
B. 10
C. 12
D. 15
Show Answer & Explanation
Correct Answer: A
To find the median, we arrange the numbers in order (which they already are) and identify the middle value. With an odd number of values (5), the median is the third number in the list, which is 9.
Q3
Easy
A spinner is divided into 4 equal sections: red, blue, green, and yellow. If you spin the spinner once, what is the probability of landing on blue?
A. 1/4
B. 1/2
C. 1/3
D. 1/5
Show Answer & Explanation
Correct Answer: A
The probability of landing on blue is determined by the number of favorable outcomes divided by the total number of outcomes. There is 1 blue section out of 4 total sections, so the probability is 1/4.
Q4
Medium
A survey of 50 students was conducted to find their favorite fruit. 20 preferred apples, 15 preferred bananas, and 15 preferred oranges. What percentage of students preferred apples?
A. 40%
B. 30%
C. 50%
D. 25%
Show Answer & Explanation
Correct Answer: A
To find the percentage of students who preferred apples, divide the number of students who preferred apples (20) by the total number of students (50) and then multiply by 100: (20/50) * 100 = 40%.
Q5
Medium
In a certain data set, the mode of the numbers 3, 4, 4, 5, 6, 7, 4, 8 is needed. What is the mode of this data set?
A. 4
B. 5
C. 3
D. 6
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently in a data set. In this case, the number 4 appears three times, more than any other number, making it the mode.
Q6
Medium
A group of students recorded the number of books they read over a summer. The numbers are: 5, 8, 4, 10, 6. What is the median number of books read?
A. 6
B. 5
C. 8
D. 10
Show Answer & Explanation
Correct Answer: A
To find the median, arrange the numbers in ascending order: 4, 5, 6, 8, 10. The middle number is 6.
Q7
Medium
A survey found that 80% of students prefer online classes over traditional classes. If there are 150 students surveyed, how many students prefer online classes?
A. 120
B. 100
C. 80
D. 150
Show Answer & Explanation
Correct Answer: A
To find the number of students who prefer online classes, calculate 80% of 150: 0.8 × 150 = 120.
Q8
Hard
A teacher recorded the scores of her class on a math test: 78, 85, 90, 92, 88, 76, and 84. What is the median score?
A. 84
B. 85
C. 88
D. 90
Show Answer & Explanation
Correct Answer: C
To find the median, first arrange the scores in ascending order: 76, 78, 84, 85, 88, 90, 92. The median is the middle score, which is 88.
Q9
Hard
A spinner has 5 equal sections colored red, blue, green, yellow, and purple. If the spinner is spun twice, what is the probability of landing on blue both times?
A. 1/25
B. 1/5
C. 1/10
D. 2/5
Show Answer & Explanation
Correct Answer: A
The probability of landing on blue in one spin is 1/5. Since the spins are independent events, the probability of landing on blue twice is (1/5) * (1/5) = 1/25.
Q10
Hard
A data set contains the following numbers: 10, 15, 20, 25, 30. If one number is removed from the set, which of the following numbers would most likely cause the mean to decrease?
A. 10
B. 15
C. 30
D. 20
Show Answer & Explanation
Correct Answer: C
Removing the highest number (30) will reduce the mean more than removing any lower number since the mean is sensitive to extreme values. Thus, the mean will decrease the most when 30 is removed.

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Statistics and Probability — Common Core (US) Common Core Math Grade 7 Practice Questions Online

This page contains 146 practice MCQs for the chapter Statistics and Probability in Common Core (US) Common Core Math Grade 7. The questions are organized by difficulty — 53 easy, 70 medium, 23 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.