Question

QUESTION 1

1.

46

172

147

76

94

80

116

150

45

47

2.     
Use the sample data above to answer the following question.  (See exercise 8 on page 114 of your textbook for a similar problem.)

Compute s.

0.34 points   

QUESTION 2

1.     

136

104

109

97

71

40

109

41

119

168

2.     
Use the sample data above to answer the following question.  (See exercise 8 on page 114 of your textbook for a similar problem.)

Compute x'

0.33 points   

QUESTION 3

1.

46

172

147

76

94

80

116

150

45

47

2.     
Use the sample data above to answer the following question.  (See exercise 8 on page 114 of your textbook for a similar problem.)

Compute the median.

Answer 1

QUESTION 1:

x                 x -                   (x - )²

46              - 51.3                  2631.69

172              74.7                    5580.09

147             49.7                   2470.09

76             - 21.3                 453.69

94              - 3.3                 10.89

80               - 17.3               299.29

116               18.7               349.69

150                  52.7            2777.29

45                 - 52.3             2735.29

47                 - 50.3             2530.09

----------------------------------------------------

Total                                  19838.1

Variance = s² = 19838.1/9 = 2204.2333

So,

s =

So,

Answer is:

46.9493

QUESTION 2:

.

So,

Answer is:

99.4

QUESTION 3:

n = 10

Arranging data in ascending order:

45,46,47,76,80,94,116,147,150,172

Mdian is (n + 1)/2th item = 11/2th item = average of 5th & 6th items = (80 + 94)/2 = 87

So,

Answer is:

87