Answer:
a. 228- 6th, 489- 17th, 524- 28th, 597- 39th, 623- 50th, 659- 61th, 736- 72th, 777- 83th, 804- 94th
b. 597
Step-by-step explanation:
arrange the data:
228, 489, 524, 597, 623, 659, 736, 777, 804
a. percentile = ((number of items below position + 0.5)/ number of items ) 100
for 228 = (0+0.5/ 9) 100 = 6th
for 489 = (1+0.5/ 9) 100 = 17th
for 524 = (2+0.5/ 9) 100 = 28th
for 597 = (3+0.5/ 9) 100 = 39th
for 623 = (4+0.5/ 9) 100 = 50th
for 659 = (5+0.5/ 9) 100 = 61th
for 736 = (6+0.5/ 9) 100 = 72th
for 777 = (7+0.5/ 9) 100 = 83th
for 804 = (8+0.5/ 9) 100 = 94th
b. The corresponding value for the 40th = number of item( percentile)/ 100
= 9( 40) / 100 = 3.6 approximately 4th which is 597