I need help solving this 4 part problem. please help explain, thank you

Question

Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year.

174, 176, 178, 184, 185, 185, 185, 185, 188, 190, 200, 202, 205, 206, 210, 211, 211, 212, 212, 215, 215, 220, 223, 228, 230, 232, 241, 241, 242, 245, 247, 250, 250, 259, 260, 260, 265, 265, 270, 272, 273, 275, 276, 278, 280, 280, 285, 285, 286, 290, 290, 295, 302

1. median = 241
2. the first quartile = 205.5
3. the third quartile = 272.5

Assume the population was Football Team A.

I need help finding the following. (I have to round the answers to two decimal places.)

(i) the population mean, μ

 

(ii) the population standard deviation, σ

(iii) the weight that is 3 standard deviations below the mean

(iv) When Player A played football, he weighed 235 pounds. How many standard deviations above or below the mean was he?

Answer 1

mean = 236.3 (sum all the values and divide by the number of values)

SD = 37.55 (sum of (value - mean)^2)/number of values

mean - 3 SD = 236.3 - 3 * 37.55 = 123.65

(235 - 236.3)/37.55 = -0.035, so 0.035 SD below the mean