Descriptive Statistics: Master the Basics of Data Summarization

Question 1

Which of the following is not an assumption of parametric statistical tests?

Accepted Answer

Data follows a non-normal distribution.

Answer

Data is independent.

Answer

Data is interval or ratio level.

Answer

Sample size is sufficiently large.

Question 2

A data set has a mean of 50 and a standard deviation of 10. What range of values would fall within one standard deviation of the mean?

Accepted Answer

40 to 60

Answer

10 to 90

Answer

30 to 70

Answer

20 to 80

Question 3

Which of the following scenarios would likely result in a skewed distribution?

Accepted Answer

The distribution of ages in a retirement community.

Answer

The distribution of heights of adult males in a country.

Answer

The distribution of coin flips in 100 trials.

Question 4

Calculate the variance of the following data set: 10, 15, 20, 25, 30.

Accepted Answer

25

Answer

5

Answer

62.5

Answer

12.5

Question 5

Which component of a box plot represents the difference between the first and third quartiles?

Accepted Answer

Interquartile range (IQR)

Answer

Mean

Answer

Standard deviation

Answer

Range

Question 6

To visualize the trend of customer complaints over time, which type of chart would be most appropriate?

Accepted Answer

Line chart

Answer

Bar chart

Answer

Histogram

Answer

Pie chart

Question 7

In a sample of 100 students, the average height is 5'8". What statistical value does this represent?

Accepted Answer

Sample mean

Answer

Population mean

Answer

Mode

Answer

Median

Question 8

A researcher is comparing the height of plants in two groups. Which measure of variability would be most appropriate to determine the spread between the two groups?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Question 9

Which of the following characteristics defines a normal distribution?

Accepted Answer

Symmetrical, with the mean, median, and mode being approximately equal.

Answer

Skewed to the right.

Answer

Skewed to the left.

Question 10

Identify the statistical measure that is NOT a measure of central tendency.

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode