Descriptive Statistics Review

The mean of the distribution is:

• Same as the median

• Less than the median

• Greater than the median

• Cannot be compared to the median

Based on the shape of this distribution, what numerical measures would best describe it?

• The median

• The mean

• The standard deviation

• The interquartile range

Which of the following choices give two measures that are both resistant to outliers?

• The median

• The IQR

• The mean

• The standard deviation

Without doing any calculations, which of the distributions shown (A, B, or C) has the largest standard deviation?

• A

• B

• C

In 2015, the mean height of U.S. males aged 20 years and older was 69.1 inches with a standard deviation of 2.25 inches. Dr. taller takes a random sample of college males and finds a mean of 71.3 inches and a standard deviation of 2.5 inches. Match the symbol with what it represents.

• 69.1 inches

• s

• 2.25 inches

• 71.3 inches

• 2.5 inches

• x-bar

The five-number summary for the weights (in grams) of 1200 tomatoes grown in a certain greenhouse is min = 90,  Q1 = 113.5, median = 140, Q3 = 161, and max = 236. About how many tomatoes weighed at most 113.5grams?

• 300

• 600

• 900

• 1200

In a class of 100 students, the grades on a statistics test are summarized in the following frequency table. 

Find the Median

• 90 ≤ x ≤ 100

• 80 ≤ x < 90

• 70 ≤ x < 80

• 60 ≤ x < 70

A tennis player measures her service speed (in mph) for each of six serves.  Here are her results:

82 78 80 72

 

 Calculate the mean (to the whole number):

(a)  

A tennis player measures her service speed (in mph) for each of six serves.  Here are her results:

82 78 80 72

 

 Calculate the median (to the whole number):

(a)  

One of the important factors in determining population growth rates is the birth rate per 1000 individuals in a population.  Below are the birth rates per 1000 individuals for all 54 African nations from a Population Reference Bureau report.

23, 24, 25, 25, 25, 26, 28, 29, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 36, 36, 37  38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 43, 43, 43, 43, 44, 45, 45, 46, 46

Find the five number summary

• Min: 24

  Q1: 30

  Med: 34

  Q3: 41

  Max: 45

• Min: 23

  Q1: 30

  Med: 34

  Q3: 42

  Max: 45

• Min: 23

  Q1: 32

  Med: 36

  Q3: 41

  Max: 46

• Min: 23

  Q1: 32

  Med: 38

  Q3: 41

  Max: 46