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
