Please explain/show me how to do this. Please don\'t just give me the answer. Th
ID: 42834 • Letter: P
Question
Please explain/show me how to do this. Please don't just give me the answer. Thanks!
The height and weight for three dogs are shown below.
weight in kilograms:
7
4
10
height in centimeters:
22
12
30
Fill in the blanks for the following table.
Fill in the blanks for the following table.
Mean
(weight)
Variance
(weight)
Standard deviation
(weight)
Mean
(height)
Variance
(height)
Standard deviation
(height)
Mean
(weight)
Variance
(weight)
Standard deviation
(weight)
Mean
(height)
Variance
(height)
Standard deviation
(height)
Explanation / Answer
Weight :
Mean = 7 + 4+ 10 / 3 = 8
To calculate Variance
So, for three weights
7 - 8 = -1 and then squaring gets to 1
4 - 8 = -4 and then squaring gets to 16
14 - 8 = 6 and then squaring gets to 36
Variance = 1 + 16 + 36 / 3 = 17.6
Standard Deviation = Square root of variance
So, standard deviations would be 1, 4 and 6 respectively.
Height:
Mean = 22 +12 + 30 /3 = 21.33
Variance
22 - 21.33 = 0.77 and then squaring gets to 0.59
12 - 21.33 = - 9.3 and then squaring gets to 86.49
30 - 21.33 = 8.67 and then squaring gets to 75.16
Standard deviation is square root of variance
So, the SD of heights would be 0.77, 9.3 and 8.67 respectively.