a quantitative data set of 100 has a mean 25 and standard deviation of 4. At...

Question

Question

a quantitative data set of 100 has a mean 25 and standard deviation of 4. At least how many observations lie between 17 and 33?

(round up to the nearest whole number)

Answer 1

Answer #1

Mean = = 25

SD = = 4

To find P(17 < X < 33):

k = (17 - 25)/4 = - 2

k = (33 - 25)/4 = 2

By Chebyshev's Theorem:

So,

Answer is:
At least number of observations lie between 17 and 33 is:given by:

100 X 0.75 = 75

So,

Answer is:

75

Answer 2

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