Muhammad Imdad Ullah

Test your knowledge of fundamental statistics concepts with this 20-question multiple-choice quiz! This Basic Statistics MCQs Test is perfect for students, statisticians, data analysts, and data scientists. This Basic Statistics MCQs Test Quiz covers key topics like:

• Measures of central tendency (mean, median, mode)
• Measures of dispersion (range, variance, standard deviation)
• Frequency distributions (class width, relative & cumulative frequency)
• Data summarization (five-number summary, quartiles)
• Statistical inference (sample vs. population, descriptive vs. inferential stats)

Sharpen your skills for exams, job interviews, and competitive tests with these practical Basic Statistics MCQs Test. Whether you’re preparing for university tests, certifications, or data-related job roles, Basic Statistics MCQs Test Quiz helps reinforce core statistical concepts. Let us start with the Online Basic Statistics MCQs Test now.

Online Basic Statistics Quiz with Answers

1. A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 21 years. This is an example of

 A census

 An experiment

 Statistical inference

 Descriptive statistics

2. The following data shows the number of hours worked by 200 statistics students:

The number of students working 19 hours or less

 is 40

 is 50

 is 90

 cannot be determined without original data

3. A researcher has collected the following sample data

5  12  6  8  5  6  7  5  12  4

The mean is

 5

 8

 6

 7

4. A numerical value used as a summary measure for a sample, such as sample mean, is known as a

 Sample parameter

 Sample statistic

 Population parameter

 Population mean

5. In a sample of 800 students in a university, 160 or 20% are Business majors. Based on this information, the school’s University reported that “20% of all the students at the university are Business majors”. This report is an example of

 Descriptive statistics

 Statistical inference

 A sample

 A population

6. $\mu$ is an example of

 Mode

 Sample statistic

 Population variance

 Population parameter

7. The value that has half of the observations above it and half the observations below it is called the

 Range

 Mean

 Mode

 Median

8. The sum of deviations of the individual data elements from their mean is

 Always equal to zero

 Always greater than zero

 Sometimes greater than and sometimes less than zero, depending on the data elements

 Always less than zero

9. The difference between the largest and the smallest data values is the

 Interquartile range

 Range

 coefficient of variation

 Variance

10. The following data shows the number of hours worked by 200 statistics students:

The cumulative relative frequency for the class of 10 — 19

 cannot be determined from the information given

 is 0.25

 is 90

 is 0.45

11. In a five-number summary, which of the following is not used for data summarization?

 The largest value

 The median

 The smallest value

 The 25th percentile

12. If a dataset has an even number of observations, the median

 is the average value of the two middle items when all items are arranged in ascending order

 must be equal to the mean

 cannot be determined

 is the largest value of the two middle sorted items

13. The following data shows the number of hours worked by 200 statistics students:

The class width for this distribution is

 9

 10

 Varies from class to class

 11

14. The standard deviation of a sample of 100 observations is 64. The variance of the sample equals

 6400

 4096

 8

 10

15. The sum of the percentage frequencies for all classes will always equal ————?

 100

 The number of items in the study

 One

 The number of classes

16. A researcher has collected the following sample data

5  12  6  8  5  6  7  5  12  4

The mode is

 8

 7

 6

 5

17. A researcher has collected the following sample data

5  12  6  8  5  6  7  5  12  4

The median is

 5

 8

 7

 6

18. If the variance of a dataset is correctly computed with the formula using $n-1$ in the denominator, which of the following is true?

 The dataset is a sample

 The dataset could be either a sample or a population

 The dataset is a population

 The dataset is from a census

19. A tabular summary of a set of data showing the fraction of the total number of items in several classes is a

 Frequency distribution

 Cumulative frequency distribution

 Frequency

 Relative frequency distribution

20. The following data shows the number of hours worked by 200 statistics students:

The relative frequency of students working 9 hours or less

 cannot be determined from the information given

 0.2

 0.40

 0.45

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Question 1 of 20

Online Basic Statistics MCQs Test with Answers

• A numerical value used as a summary measure for a sample, such as sample mean, is known as a
• $\mu$ is an example of
• The sum of the percentage frequencies for all classes will always equal ————?
• In a five-number summary, which of the following is not used for data summarization?
• The following data shows the number of hours worked by 200 statistics students: The class width for this distribution is
• The following data shows the number of hours worked by 200 statistics students: The number of students working 19 hours or less
• The following data shows the number of hours worked by 200 statistics students: The relative frequency of students working 9 hours or less
• The following data shows the number of hours worked by 200 statistics students: The cumulative relative frequency for the class of 10 — 19
• The difference between the largest and the smallest data values is the
• If a dataset has an even number of observations, the median
• The sum of deviations of the individual data elements from their mean is
• The value that has half of the observations above it and half the observations below it is called the
• In a sample of 800 students in a university, 160 or 20% are Business majors. Based on this information, the school’s University reported that “20% of all the students at the university are Business majors”. This report is an example of
• A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 21 years. This is an example of
• A tabular summary of a set of data showing the fraction of the total number of items in several classes is a
• The standard deviation of a sample of 100 observations is 64. The variance of the sample equals
• A researcher has collected the following sample data 5  12  6  8  5  6  7  5  12  4. The median is
• A researcher has collected the following sample data 5  12  6  8  5  6  7  5  12  4. The mode is
• A researcher has collected the following sample data 5  12  6  8  5  6  7  5  12  4. The mean is
• If the variance of a dataset is correctly computed with the formula using $n-1$ in the denominator, which of the following is true?

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