Summary Statistics

For the numbers 4, 11, 8, 9, and 8, which of the following is true?

• median < mode < mean

• median > mode > mean

• mode = median = mean

• mode > median > mean

The dot plots below shoe production results for 4 machines producing identical items. For which machine is the median significantly greater than the mean?

• Machine 1

• Machine 2

• Machine 3

• Machine 4

Determine the mean and the median of 6,8,9,11,14,18

• mean 11,median 11

• mean 11,median 10

• mean 11,median 9

• mean 10,median 11

The graphs below describe the average heights of boys on four school sports teams. What is the average height for all of the boys playing track, soccer, basketball, and football? Assume each student plays only one sport.

• 70.95

• 71

• 71.05

• 71.10

Anton has grades of 87, 83, 74, and 89 on four of his five tests. What grade must Anton earn on his fifth test so that the mean of all his test scores will be 85?

• 88

• 90

• 92

• 93

In a class of 28 students, a certain number of students earned a mean of 76 on a recent exam and the rest of the students earned a mean of 88. Which of the following must be true about the entire class's mean test score, m?

• m < 76

• 88 > m

• m = 88

• 76 < m < 88

The mean of P and Q is 20. The mean of R, S, and T is 60. What is the mean of P, Q, R, S, and T?

• 55

• 44

• 40

• 33

What is the median?

• 62
• 58
• 66
• 60

What is the interquartile range (IQR)?

• 4
• 64
• 60
• 8

Which class has the higher test score median? 

• Class #1
• Class # 2 
• The medians are equal
• The median is not shown here.