I am having a problem figuring out this Entering Data Set: 1 2 3 4 6 7 8

I am having a problem figuring out this

                                                                                   Entering Data Set:

                                             1 2 3 4 6 7 8 8 8 10 11 11 12 13 16 18 22 24 26 30

                                                                                                           Value      Frequency    Frequency %

Minimum:1

1

1

5.00

Maximum:

30

2

1

5.00

Range:

29

3

1

5.00

Count:

20

4

1

5.00

Sum:

240

6

1

5.00

Mean:

12

7

1

5.00

Median:

10.5

8

3

15.00

Mode:

8

9

1

5.00

Standard dev.

Standard  Deviation:

8.26533662

10

1

5.00

Variance:

68.3157895

11

1

5.00

Mid Range:

15.5

12

1

5.00

Quartile Range:

Q1---6.5

13

1

5.00

Q2---10.5

16

1

5.00

Q3---17

18

1

5.00

Interquartile Range:

10.5

22

1

5.00

Sum of Squares:

1298

24

1

5.00

Mean Absolute Dev.

6.5

26

1

5.00

5.00

Root Mean Square:

14.4533733

30

1

5.00

Std Error of Mean:

1.84816545

Skewness:

0.696282313

Kurtosis:

2.40979604

Co-efficient of Variation

0.688778052

Relative Standard Deviation

68.8778052%

Include the data set, the output from the analysis, and the answers to the following questions:

·       Evaluate the measures of central tendency. Address the following when completing this component:

Which measure of central tendency is most appropriate based on the data type?

Answer:  mode

Are the mean, median, and mode close to the same value? If not, what does this tell you about the numbers in the set?

The mean and median are close but not the mode. However, the median is the average of the mean and the mode, so it tells us that the measures of the central tendency compliments each other although they may be different.

Identify any mode(s) in the data set. Is there a mode at all? Is there more than one mode?

The mode in the data set is the number 8. It appears three times in the data set and is the only number that does. The other numbers appear once or twice.

Calculate manually the interquartile range and the values of Q1 and Q3. (It is important to calculate this manually because the interquartile range and quartiles output from Calculator Soup might not be accurate.) Address the following when completing this component:

Test to see if there are any outliers in the set. If so, which number(s)?

Answer: 17 + 6.5 = 23 divided by 2 = 11.75    (the number 1 is an outlier)

Which method from Section 2.4 of the text did you first use to check for outliers?

Now try the other method from Section 2.4 of the text. Do you come to the same conclusion about outliers in the data set?

·       Explain which descriptive statistic you think best summarizes this set of numbers and why.

·       Choose three of the descriptive statistics that you feel best represent this data set. Why were they chosen?

The Descriptive Statistics Data Analysis assignment