Question

Given that the data distribution is approximately normal with the minimum value of 15 and the maximum value of 98 a) Estimate the values of Mean, Median, and Mode. b) Estimate the value of the standard deviation of these data

Answer 1

Answer:

a) Mean, median, mode = 56.5

b) $S = 20.75$

Step-by-step explanation:

Normally distributed data have the same value for the mean, median and mode. This value is the addition of the maximum value by the minimum, divided by 2.

Also, the standard deviation in a normally distributed sample can be approximated by the following formula:

$S = \frac{max - min}{4}$

So

a) Estimate the values of Mean, Median, and Mode.

Highest value = 98

Minimum value = 15

$\mu = \frac{98 + 15}{2} = 56.5$

b) Estimate the value of the standard deviation of these data

Max = 98

Min = 15

So

$S = \frac{max - min}{4}$

$S = \frac{98 - 15}{4}$

$S = 20.75$