Descriptive Statistics Practice Questions
Common Core (US) · Common Core Algebra 1 · 145 free MCQs with instant results and detailed explanations.
145
Total
45
Easy
71
Medium
29
Hard
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Sample Questions from Descriptive Statistics
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
What is the median of the following set of numbers: 3, 7, 9, 12, 15?
A.
9
B.
10
C.
12
D.
7
Show Answer & Explanation
Correct Answer: A
The median is the middle value when the numbers are arranged in order. The numbers in order are 3, 7, 9, 12, 15. The middle number is 9.
Q2
Easy
If a data set has a mean of 20 and consists of the numbers 10, 15, x, and 25, what is the value of x?
A.
30
B.
25
C.
20
D.
15
Show Answer & Explanation
Correct Answer: A
To find x, we use the formula for mean: (10 + 15 + x + 25) / 4 = 20. Solving gives x = 30.
Q3
Easy
Which of the following measures of central tendency is most affected by extreme values in a data set?
A.
Mean
B.
Median
C.
Mode
D.
Range
Show Answer & Explanation
Correct Answer: A
The mean is sensitive to extreme values because it includes all data points in its calculation, unlike the median and mode.
Q4
Medium
A set of test scores for a class is: 85, 90, 75, 80, 95. What is the mean of these scores?
A.
85
B.
80
C.
90
D.
75
Show Answer & Explanation
Correct Answer: A
To find the mean, add all the scores (85 + 90 + 75 + 80 + 95 = 425) and divide by the number of scores (5). Thus, the mean is 425/5 = 85.
Q5
Medium
In a data set, the values are {2, 4, 4, 4, 5, 5, 7, 9}. What is the mode of this data set?
A.
4
B.
5
C.
7
D.
9
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, which is more frequent than any other number.
Q6
Medium
A survey of 100 students shows the following results for their favorite subjects: Math-25, Science-30, English-20, History-25. What percentage of students prefer Science?
A.
30%
B.
25%
C.
20%
D.
15%
Show Answer & Explanation
Correct Answer: A
To find the percentage, divide the number of students who prefer Science (30) by the total number of students (100) and then multiply by 100. Thus, (30/100) * 100 = 30%.
Q7
Medium
The range of a data set is defined as the difference between the highest and lowest values. Given the values {12, 15, 7, 22, 10}, what is the range?
A.
15
B.
10
C.
5
D.
20
Show Answer & Explanation
Correct Answer: A
To find the range, identify the highest value (22) and the lowest value (7), then subtract the lowest from the highest (22 - 7 = 15).
Q8
Hard
A class of 30 students received the following scores on a math test: 78, 85, 94, 88, 76, 92, 89, 84, 91, 87, 79, 83, 90, 77, 95, 82, 86, 80, 81, 93, 88, 75, 92, 84, 78, 91, 87, 90, 76, 88. What is the median score of the students?
A.
88
B.
87
C.
90
D.
89
Show Answer & Explanation
Correct Answer: A
To find the median, the scores must be arranged in ascending order. The median is the middle value, and with an even number of scores (30), it will be the average of the 15th and 16th scores in sorted order, which are both 88.
Q9
Hard
A survey of 50 households revealed the following data regarding the number of pets owned: 0, 1, 2, 1, 3, 2, 0, 4, 2, 1, 0, 2, 1, 3, 0, 1, 2, 3, 1, 4, 0, 2, 3, 3, 1, 0, 2, 1, 0, 4, 1, 2, 3, 0, 1, 1, 2, 0, 2, 3, 1, 2, 4, 0, 1, 2, 3, 4, 2, 1. What is the mode of the number of pets owned?
A.
2
B.
1
C.
0
D.
3
Show Answer & Explanation
Correct Answer: A
The mode is the value that appears most frequently in a data set. In this case, the number 2 appears 12 times, more than any other number, making it the mode.
Q10
Hard
A data set consists of the following values: 12, 15, 15, 20, 22, 22, 22, 25. What is the mode of this data set?
A.
15
B.
20
C.
22
D.
25
Show Answer & Explanation
Correct Answer: C
The mode is the value that occurs most frequently in a data set. In this case, 22 appears three times, more than any other number.
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Descriptive Statistics — Common Core (US) Common Core Algebra 1 Practice Questions Online
This page contains 145 practice MCQs for the chapter Descriptive Statistics in Common Core (US) Common Core Algebra 1. The questions are organized by difficulty — 45 easy, 71 medium, 29 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.