enter each data set into the statistics calculator. make note of the mean, median, and shape of the…

enter each data set into the statistics calculator. make note of the mean, median, and shape of the histogram of each data set.\na = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}\nb = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}\nwhich statements are true about the data sets? check all that apply.\nset a is symmetrical.\nset b has the same mean and median.\nset b is right skewed.\nset a is left skewed.\nthe median of set a is larger than the mean of set a.

enter each data set into the statistics calculator. make note of the mean, median, and shape of the histogram of each data set.\na = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}\nb = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}\nwhich statements are true about the data sets? check all that apply.\nset a is symmetrical.\nset b has the same mean and median.\nset b is right skewed.\nset a is left skewed.\nthe median of set a is larger than the mean of set a.

Answer

Explanation:

Step1: Calculate mean of set A

Mean of set A, $\bar{x}_A=\frac{10 + 12+12+6+8+5+4+10+8+10+12+12+6}{13}=\frac{115}{13}\approx8.85$

Step2: Arrange set A in ascending - order

$A={4,5,6,6,8,8,10,10,10,12,12,12,12}$. The median of set A is the 7th value, so median of set A, $M_A = 10$.

Step3: Analyze skewness of set A

Since mean ($\approx8.85$) < median ($10$), set A is left - skewed.

Step4: Calculate mean of set B

Mean of set B, $\bar{x}_B=\frac{8 + 8+8+7+9+7+9+10+6+8}{10}=\frac{78}{10}=7.8$

Step5: Arrange set B in ascending - order

$B={6,7,7,8,8,8,8,9,9,10}$. The median of set B is $\frac{8 + 8}{2}=8$.

Step6: Analyze skewness of set B

Since mean ($7.8$) < median ($8$), set B is left - skewed.

Answer:

Set A is left skewed. The median of set A is larger than the mean of set A.