Question

44The following random sample of 28 female basketball player heights, in inches, is:

63 71 69 65 73 84 70 69 67 74 75 68 65 63 67 69 68 72 73 75 72 75 73 68 69 74 65 65
(Σx = 1961       Σx²  = 137,911)

The shape of the box plot representing this distribution of female basketball player heights is:

Answer 1

Answer:-  

Arrange the data into ascending order first:-

63,63,65,65,65,65,67,67,68,68,68,69,69,69,69,70,71,72,72,73,73,73,74,74,75,75,75,84

n=28 Ź Median nus que therefore median (h+)/2 = (28+1)/2 = 12:5 is not ari integer value, the median is average of 14th and 15th value: median = 69769 2 = 69 > Quartile 7. posto) = (ht) 25 [28+1) 1050 since 7:25 is not an integer o us computed by_intemplating blw the of 4th and 8th position. 2,267+(7.25-7Jx167-67) = 67

los pos 103) = (hti) 25 (28+) 7 - 21.75 Since 21.75 is not integer number Osus computed by interpolating blw the value pocated in the 21th and 22th position. 03= 73+ (21175-21) (73-43) = 73 > IORE 03-10 =73-67 = 6 موهاما | د = Q -1.5 X IOR =67-1.5x6 = 58 upper Q3 +1.5 X IDR = 73+15x6 = 82 Outcome x is an outlice if x 258 or if X 782 therefore, outlier is 84

प 80 8 न hany Median 69 Max:04 mins63 ७. -67 2013 TOR-6 Outlier 84 नप ती तेण 67 66 64 G