Question

Hi, I need help with this question. Please explain in details how you got the answer with steps shown for each part so I can understand it thank you.

The mean x and standard deviation s measure center and variability but are not a complete description of a distribution. Data sets with different shapes can have the same mean and standard deviation. (Data set may be found here. Round your answers to two decimal places.) Data A: 9.14 8.14 8.74 8.77 9.26 8.10 6.13 3.10 9.13 7.26 4.74 Data B: 6.58 5.76 7.71 8.84 8.47 7.04 5.25 5.56 7.91 6.89 12.50 Find x and s for data set A. Find x and s for data set B. Select the correct description of the shape of each distribution Data A has a very left-skewed distribution, while Data B has a slightly right-skewed distribution Both distributions are symmetrical O Data A has a left-skewed distribution, while Data B has a very right-skewed distribution. Data A has a slightly right-skewed distribution, while Data B has a very left-skewed distribution Data A has a very right-skewed distribution, while Data B has a slightly left-skewed distribution.

Answer 1

Let's use excel:

First enter the given data sets in excel columns.

Click on Data >>>Data Analysis >>> Descriptive Statistics >>> OK

Select the required information

Look the following image:

Then click on OK, So we get the output:

Similarly do for data B,

Look the following output.

From the above output , we get:

For data A:

= 7.50

s = 2.03

For data B:

= 7.50

s = 2.03

Skewness of data A = -1.32 ( negatively skewed )

Skeness of data B = 1.51 ( very Positively skewed).

so correct option is C.