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Rom4ik [11]
2 years ago
12

Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per y

ear, and the other 555 employees make between \$40{,}000$40,000dollar sign, 40, comma, 000 and \$50{,}000$50,000dollar sign, 50, comma, 000 per year.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48, 100. The dot above 100 is shaded purple.
Suzanne decides to leave the company and keep the other 555 salaries the same.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48.
How will removing Suzanne's salary from the data set affect the mean and median?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
The mean will decrease and the median will increase.

(Choice B)
B
The median will decrease and the mean will increase.

(Choice C)
C
Both the mean and median will decrease, but the median will decrease more than the mean.

(Choice D)
D
Both the mean and median will decrease, but the mean will decrease more than the median.
Mathematics
1 answer:
storchak [24]2 years ago
8 0
D mean will decrease
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Answer:

n=9 \sum x = 530, \sum y = 243, \sum xy = 14615, \sum x^2 =32656, \sum y^2 =8245  

And replacing the info we got:

r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955  

So then the correlation coefficient would be r =0.1955

Step-by-step explanation:

Data given

Temperature (x) 62 76 50 51 71 46 51 44 79

Growth (y) 36 39 50 13 33 33 17 6 16

Solution

The correlation formula is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have the following sums:  

n=9 \sum x = 530, \sum y = 243, \sum xy = 14615, \sum x^2 =32656, \sum y^2 =8245  

And replacing the info we got:

r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955  

So then the correlation coefficient would be r =0.1955

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Step-by-step explanation:

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