Question

These data provides the responses of 10 students in class A and in class B who were asked how many hours they slept lastThese data sets provide the responses of 10 students in class A and class B who were asked how many hours they slept at night.
Class A: {7, 6, 7, 8, 8, 7, 4, 5, 6, 7}

Class B: {7, 7, 6, 5, 7, 6, 8, 9, 6, 8}



Which statement is true for the two data sets?


The median sleeping time is greater for class A than for class B.


The median sleeping time is greater for class B than for class A.


The average, or mean, sleeping time is greater for class B than for class A.


The average, or mean, sleeping time is greater for class A than for class B.

Answer 1

Answer:

Answer C

Explanation:

Class A Median: 4, 5, 6, 6, 7, 7, 7, 7, 8, 8

The Median of Class A is 7.

Class B Median: 5, 6, 6, 6, 7, 7, 7, 8, 8, 9

The Median of Class B is 7.

Class A Mean: 4 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 = 65

To find the mean, you add all of the numbers together, and divide the total by the amount of numbers. (There are ten numbers in the equation, so we divide 65 by 10.)

65/10 = 6.5, This means that the mean of Class A is 6.5

Class B Mean: 5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9 = 69

Do the same thing as last time, divide 69 by 10. (6.9)

The mean of class B is 6.9

Answer A and B are both incorrect, because the medians for both classes were the same.  Answer C is correct, because the mean of class B was 6.9 and the mean of Class A was 6.5

Answer D is also incorrect, 6.9 is 0.4 greater than 6.5

Solved by Inspire! (14 years old)