Score: 0.19 of 1 pt 1015(4 con 3.1-2.3 The following set of data is from a sampl

Question

Score: 0.19 of 1 pt 1015(4 con 3.1-2.3 The following set of data is from a sample of n 7. 15 8 5 12 4 8 11 a. Compute the mean, median, and mode b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set yA. The mean is 9 (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed) 0 B. There is no solution. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A The median is 8 OB. There is no solution. Select the correct choice below and, if necessary, fill in the answer box to complete your choice Type an integer or a decimal. Do not round. Use a comma to separate answers as needed) A. The mode is 8 OB. There is no solution. b, The range is[-]. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed) (Type an integer or a decimal. Do not round.) Enter your answer in the answer box and then click Check Answer 12 Pemaining Clear A esc F1 F3 00O FA F6 F2 F5

Explanation / Answer

Solution:

Use below R code:

scores <- c(15,8,5,12,4,8,11)
range(scores)
var(scores)
sd(scores)

mean(scores)

Output is:

range(scores)
[1] 4 15
> var(scores)
[1] 15.33333
> sd(scores)
[1] 3.91578
> mean(scores)
[1] 9
>

Answers

range=max-min=15-4=11

variance= 15.33333

standard deviation=3.91578

coeffcient of variation=stddev/mean*100=

=3.91578/9*100

=43.51%

Solutionc:

Z scores=

Z=x-mean/sd

Z scores are:

0.510754

Table is

No outliers seen from boxplot

SOlutiond:

mean=9

median=8

mean>median

shape of the distribution is positively skewed.

skewness coefficient also confirms the distribution is positively skewed

1.532262 -0.25538 -1.02151 0.766131 -1.27688 -0.25538

0.510754

Table is

X MEAN SD X-MEAN Z=X-MEAN/SD 15 9 3.91578 6 1.532262 8 9 3.91578 -1 -0.25538 5 9 3.91578 -4 -1.02151 12 9 3.91578 3 0.766131 4 9 3.91578 -5 -1.27688 8 9 3.91578 -1 -0.25538 11 9 3.91578 2 0.510754

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