#402 The scores of 30 students on a test

The scores of 30 students on a test  - Math

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The scores of 30 students on a test are shown below.

0 67 71 80 88

35 67 76 83 89

54 68 76 83 90

54 68 77 84 93

61 70 78 87 93

64 71 79 88 99

(a) Compute the five-number summary.

(b) Compute iqr and find outliers.

(c) Make a horizontal boxplot for this data showing outliers.

#7. For the sample data 14.8 12.7 18.0 14.5 12.3 10.5 9.1 8.3

(a) Compute the sample mean , sample median .

(b) Are the two measures similar? What does it imply regarding the shape of the distribution?

#8. For the sample data 6.5    12.0    14.9    10.0    10.7    7.9    21.9    12.5    14.5    9.2

(a) Compute the mean and median

(b) What would you report as a representative, or typical value, and what prompted your choice?

(c) Compute the standard deviation and iqr.

(d) What would you report as a measure of dispersion, the standard deviation or the iqr? Explain why.

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Free Chegg Answer

 

	rank
0	1
35	2
54	3
54	4
61	5
64	6
67	7
67	8
68	9
68	10
70	11
71	12
71	13
76	14
76	15
77	16
78	17
79	18
80	19
83	20
83	21
84	22
87	23
88	24
88	25
89	26
90	27
93	28
93	29
99	30

A)1.Minimum = 0    

2. 

Q₁=(1/4)30=(1/4)x30=7.5=8^th    term=67

Q₁=67

   3.Median =((n/2 th term+((n/2)+1) term)/2

                =(15^th+16^th term)/2

                 =(76+77)/2

                  = 76.5

4.    Q₃=(3/4)30=22.5 = 23^rd   term= 87

Q₃=87

5. Maximum =99

B)IQR = Q₃- Q₁=87-67=20

Lower inner fence=Q1-1.5*IQ=67-(1.5*20)=67-30-=47

Upper inner fence=Q3+1.5*IQ=87+1.5*20=117

Lower outer fence=Q1-3*IQ=67-3*20=7

Upper outer fence =Q3+3*IQ=87+3*20=147

From an examination of the fence points and the data , one point 0 exceeds the lower outer fence , there are 1 extreme outlier

C)