Question

these 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

Explanation:

Step1: Calculate mean of Class A

Mean of Class A $\bar{x}_A=\frac{7 + 6+7+8+8+7+4+5+6+7}{10}=\frac{65}{10} = 6.5$

Step2: Calculate mean of Class B

Mean of Class B $\bar{x}_B=\frac{7+7+6+5+7+6+8+9+6+8}{10}=\frac{70}{10}=7$

Step3: Arrange Class A data in ascending order

$4,5,6,6,7,7,7,7,8,8$. Since $n = 10$ (even), median $M_A=\frac{7 + 7}{2}=7$

Step4: Arrange Class B data in ascending order

$5,6,6,6,7,7,7,8,8,9$. Since $n = 10$ (even), median $M_B=\frac{7+7}{2}=7$

Answer:

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