8. The mean of a population is 105 and the standard deviation is 25 a) Find the

Question

8. The mean of a population is 105 and the standard deviation is 25 a) Find the standard score of the data value 145 b) The data value 145 is how many standard deviations from the mean? c) Find the z-score of the data value 145 d) Find the standard score of the data value 100 e) The data value 100 is how many standard deviations from the mean? f Find the z-score of the data value 100. g) Find the standard score of the data value 105. h) The data value 105 is how many standard deviations from the mean? i) Find the z-score of the data value 105. 1 1 thowing the height in inches of the 18

Explanation / Answer

#8.
a)
z = (145 - 105)/25 = 1.6

b)
it is 1.6 times of standard deviation from the mean

c)
z = (145 - 105)/25 = 1.6

d)
z = (100 - 105)/25 = -0.2

e)
it is 0.2 times of standard deviation from the mean (to the left)

f)
z = (100 - 105)/25 = -0.2

g)
z = (105 - 105)/25 = 0

h)
it is at the mean i.e. 0 times standard deviation from the mean

i)
z = (105 - 105)/25 = 0

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