Statistics and Probability Practice Questions
Common Core (US) · Common Core Math Grade 6 · 148 free MCQs with instant results and detailed explanations.
148
Total
53
Easy
77
Medium
18
Hard
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Sample Questions from Statistics and Probability
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
If a bag contains 3 red, 2 blue, and 5 green marbles, what is the probability of randomly selecting a red marble?
A.
1/5
B.
3/10
C.
1/3
D.
2/5
Show Answer & Explanation
Correct Answer: B
The probability of an event is calculated by dividing the number of successful outcomes by the total number of outcomes. Here, there are 3 red marbles out of a total of 10 marbles (3 + 2 + 5). Thus, the probability is 3/10.
Q2
Easy
Which measure of central tendency would you use to identify the most frequently occurring number in a data set?
A.
Mean
B.
Median
C.
Mode
D.
Range
Show Answer & Explanation
Correct Answer: C
The mode is the measure of central tendency that identifies the number that appears most often in a data set. It is distinct from mean and median, which represent average and middle values respectively.
Q3
Easy
What is the mean of the following set of numbers: 4, 8, 6, 5, 3?
A.
5.2
B.
5.5
C.
6
D.
6.2
Show Answer & Explanation
Correct Answer: A
To find the mean, add all the numbers (4 + 8 + 6 + 5 + 3 = 26) and divide by the number of values (5). Thus, 26/5 = 5.2.
Q4
Medium
A teacher recorded the ages of students in her class: 11, 12, 11, 13, 11, 14, 12. What is the mode of the ages?
A.
11
B.
12
C.
13
D.
14
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently. In this case, 11 occurs four times, which is more than any other age.
Q5
Medium
A spinner is divided into 8 equal sections, numbered from 1 to 8. What is the probability of landing on an even number?
A.
1/2
B.
3/8
C.
1/4
D.
5/8
Show Answer & Explanation
Correct Answer: A
The even numbers on the spinner are 2, 4, 6, and 8, totaling 4 favorable outcomes. Therefore, the probability is 4/8, which simplifies to 1/2.
Q6
Medium
John has 25 marbles: 10 red, 5 blue, and 10 green. If he randomly picks one marble, what is the probability that it will not be blue?
A.
1/5
B.
4/5
C.
1/2
D.
2/5
Show Answer & Explanation
Correct Answer: B
There are 20 marbles that are not blue (10 red + 10 green). The probability of picking a non-blue marble is 20/25, which simplifies to 4/5.
Q7
Medium
In a data set, the numbers are: 3, 7, 8, 5, 12. What is the median of these numbers when arranged in order?
A.
5
B.
7
C.
8
D.
12
Show Answer & Explanation
Correct Answer: C
When the numbers are arranged in ascending order (3, 5, 7, 8, 12), the median is the middle number, which is 8.
Q8
Hard
In a survey, students were asked how many hours they spend on homework each week. The results are as follows: 2, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8. What is the mode of the homework hours?
A.
5
B.
6
C.
4
D.
7
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently in a data set. In this case, the number 5 appears three times, while all other numbers appear less frequently. Therefore, the mode is 5.
Q9
Hard
A box contains 3 red, 4 blue, and 5 green marbles. If one marble is drawn at random, what is the probability that it is either red or green?
A.
3/12
B.
5/12
C.
8/12
D.
1/3
Show Answer & Explanation
Correct Answer: C
There are a total of 12 marbles (3 red + 4 blue + 5 green). The number of favorable outcomes (red or green) is 3 + 5 = 8. Thus, the probability is 8/12, which simplifies to 2/3.
Q10
Hard
A survey found that 60% of students prefer online classes over traditional classes. If 120 students were surveyed, how many students prefer online classes?
A.
72
B.
60
C.
48
D.
84
Show Answer & Explanation
Correct Answer: A
To find the number of students who prefer online classes, multiply the total number of students (120) by the percentage (60%). This is calculated as 120 * 0.60 = 72, so 72 students prefer online classes.
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Statistics and Probability — Common Core (US) Common Core Math Grade 6 Practice Questions Online
This page contains 148 practice MCQs for the chapter Statistics and Probability in Common Core (US) Common Core Math Grade 6. The questions are organized by difficulty — 53 easy, 77 medium, 18 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.