Let’s pretend you have some data [4,7,2,4,8,6,5,1,0,9,10,3, 8,9,5,2,7,3,2,5,7]. a. Provide a summary of the mean, median, mode, quartiles, range, sample variance, sample standard deviation, sample standard error, and sample coefficient of variation. b. Plot a histogram and box plot.

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 Let’s pretend you have some data [4,7,2,4,8,6,5,1,0,9,10,3, 8,9,5,2,7,3,2,5,7]. a. Provide a summary of the mean, median, mode, quartiles, range, sample variance, sample standard deviation, sample standard error, and sample coefficient of variation.
b. Plot a histogram and box plot. 

Expert Solution
Step 1

Given information:

The given data is,

4
7
2
4
8
6
5
1
0
9
10
3
8
9
5
2
7
3
2
5
7

Sample size (n) = 20

Definition and formula:

Mean: Mean is defined as the average value of the data. 

Mean=Sum of all observationsnumber of observations

Mode: Mode is the most frequent observation in the data set.

Minimum: The value which is lowest in the data.

Maximum: The value which is highest in the data is called the maximum value.

Sample variance :

Sample variance (s2)=i=1n(xi-x¯)2n-1

Sample standard deviation:

sample standard deviation (s)=s2=i=1n(xi-x¯)2n-1

Q1: is the first quartile which shows 25% of the data values under the value of 

Q2: is the second quartile or median which shows 50% of the data values under the value of 

Q3: is the third quartile which shows 75% of the data values under the value of 

Range =Maximum -Minimum

Sample standard error:

Sample standard error=snWhere,s= Sample standard deviation n= Sample size

Coefficient of variation:

C.V.=s|x¯|*100%Where,s= Sample standard deviation x¯= Sample mean

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