Question

The ages of job applicants for a security guard position are uniformly distributed between 25 and 65. Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?

Answer 1

No, a 25-year-old job applicant cannot be two standard deviations below the mean

Explanation:

There are two frequencies 25 and 65

Mean of the two frequencies = 25+65/2 = 45

Standard deviation =

`(65-25)/(√(12) ) \\= 11.55`

Mean - 2 x standard deviation
`= 45 - 2 * 11.55 = 21.9`

`21.9 < 25`

Thus, a 25-year-old job applicant cannot be two standard deviations below the mean