Question

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

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Rearranged data (ascending order)

174, 175, 178, 184, 185, 185, 185, 185, 188, 190, 200, 203, 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

Size of data, n = 53

B.) median :

1/2*(n+1)th term

1/2 * (53 + 1)

1/2 *54th term = 27 th term

= 241

C.) first quartile (Q1) :

1/4*(n+1)th term

1/4 * (53 + 1)

1/4 *54th term = 13.5

(13 + 14)th term / 2

(205 + 206) /2

= 205.5

D.) third quartile (Q3) :

3/4*(n+1)th term

3/4 * (53 + 1)

3/4 *54th term = 40.5

(40 + 41)th term / 2

(272 + 273) /2

= 272.5