Elementary Statistics

What is the Q3 of the data?

• 37

• 40

• 42

• 46

What is the minimum in this data set?

• 0

• 4

• 9

• 40

What is the third quartile (UQ) of the data?

• 37

• 38

• 40

• 46

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

• Median: 54

  First Quartile: 49

  Third Quartile: 67

  IQR: 18

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 21

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 22

• Median: 54

  First Quartile: 49

  Third Quartile: 69

  IQR: 20

If x₁, x₂, x₃,….., x_n are the observations of a given data. Then the mean of the observations will be:

• Total number of observations/Sum of observations

• Sum of observations +Total number of observations

• Sum of observations/Total number of observations

• None of these

According to the following box-and-whiskers diagram, which of the following values represents the lower quartile of this data set?

• 20

• 28

• 13

• 16

Given the box plot shown below, which of the following represents the range of this data set?

• 110

• 60

• 40

• 75

The 75th percentile is also know as the

• median

• third quartile

• 1st quartile

• interquartile range

Above are the boxplots representing two sets of data.

Select all the statements that correctly compare the two sets of data.

• The two distributions have the same shape.

• Both medians are between 60 and 70.

• At least 25% of both data sets are below 60.

• At least 25% of both data sets are above 80.

• The maximum of each data set is the same.

What percentage of the data is between 90 and 140?

• 25 %

• 50%

• 75%

• 100%