Question

Find the data values that represent the middle 75% where the mean is 500 and the standard deviation is 100.

a) 400 to 600
b) 425 to 575
c) 450 to 550
d) 475 to 525

Answer 1

The data values that represent the middle 75% range from 425 to 575.

Step-by-step explanation:

To find the data values that represent the middle 75%, we need to find the range of values within 1.5 standard deviations from the mean. Given that the mean is 500 and the standard deviation is 100, the range would be 500 - (1.5 * 100) to 500 + (1.5 * 100). Calculating this, we get 425 to 575. Therefore, the correct answer is b) 425 to 575.