Mean and Median of Frequency Distribution

What is the cumulative frequency of the median class in this distribution?

• 14

• 15

• 24

• 9

The table shows the distribution of the number of hours worked each week (on average) for a sample of 100 community college students. The mean

• 50

• 34.6

• 20

• 36.8

This data represents the age distribution of a sample of 100 people covered by health insurance (private or government). The sample was taken in 2003. The mean of this data set is

• 52

• 25

• 44

• 32

The data presented in the table have a mean value of:

• 172

• 161

• 157

• 184

Use the table to find the following:

Median: ​ (a)  

Mean: ​ (b)  

• 80.5

• 78.5

• 77

• 84

Tags

6.12.C

Mean-​​​ (a)  

Median-​​ (b)  

• 14

• 14.5

• 5

• 22

• 13

• 16

Mean-​​​ (a)   Median-​​ (b)  

• 14

• 14.5

• 5

• 22

• 13

• 16

Mean-​ (a)   (b)  

• 12.6

• 12

• 12.5

• 8

• 16

• 3

• 24

find the median using the table (ignore it says item 3)

• 1

• 2

• 2.5

• 3

These data show the ages of students in a community play: 12, 9, 11, 9, 15, 11, 9, 11, 12. Which data point could be removed from the set without changing the mean or the median of the data?

• 9

• 11

• 12

• 15

Answer explanation

Removing the data point '9' will not change the mean or median as it appears multiple times in the set, thus not affecting the central tendencies.

A. The student saw that this will not change the median.

B. Correct. The student demonstrated an ability to describe the impact that deleting a data point has on the mean and

the median of a data set.

C. The student saw that this will not change the median.

D. The student saw that this will not change the median.

Tags

PA.D.1.1