Question

1. (15 Marks) The following are body mass index (BMI) scores measured in 1l patients who are free of diabetes and participating in a study of risk factors for obesity Body mass index is measured as the ratio of weight in kilograms to bright in meters squared. 25, 27, 31, 23, 25, 41, 24, 32, 46, 35 and 40 Find the following a) Moan (1 point) b) Median (1 point) c) Range (1 point) d) Lower Quartile (Q) (1 point) .) Upper Quartile (Q.) (1 point) ) Interquartile Range (IRR) (1 point) 6.) Lower Fence (1 point) h) Upper Fence (1 point) 1) Construct a box-plot. Are there potential outliers in the data? Justify your answer. (2 points)

I need only i, j,and k please in clear writing

Answer 1

solution: Given will ) site logs Ai = 25, 27, 31,28, 28, 41, 24, 32, 46, 35, 40 This data is Ascending order is 24,25,27,28,28, 31, 32, 35, 40,41,46, 0 Mean: Exi 357-32.95 mean = 2 Median median is central value in sorted data th. be Median = ato te of ( o sorted obs? size of (227th sorted obsn size of oth sorted obeh (median = 31 ③ Range: Range = maximum obsn t minimum un obsh. = 46-29 Range 2 obsn 1 sre. Lower Quartile (31) 9, is 25th percentage 24,25,27,28,28,@,32,35,40,41,45 lower quartie upper quartice Average of 4th & grd obsn 27.50 median 27 28

6 Upper Quartice (92) Above mention y 83- Average of gth & gth oben 40+25 o 2011 27.50 Also we sind quartiles using Rasoftware tune Summary data) Interquartile Range (IgR) IDR - 93-8, + 137,50 - 27,50 di IGR Flocvirkes sobre el sol Lower Fencé un corso Lower fence = 91-(1.5 * ISR) - 27.50 - (1.5*19). - 12.5 & Upper Fence Upper fence = 96+ (1.54 I9R) - 37.50+ (15+10) sais wwwy

9 Box plot 45 •Max = 46 90 93 = 37.50 35 30 median= 3) dg,=27.50 257 min=24 Justily for Qutliers: There is no outliers in data. Because there is no obs? which below up lower Fench or above appes bench value. Also we see in boxplot there is no outlier present in sig. Da sample variance : Elai- sample variance - where a=mean of n-1 518.7213 ( 1410 1. $1.8727 © Sample standard deviation Sample s.p. - V sample variance = =/51.877 = 7.2022 Result: mean = 32.95 @ median= 31 4 Range=22 ④ 8 = 27.50 ® 93= 37.50 19R=l upper Fench=52.5 lower fench = 12.5 sample variance = 51.87 3.027,20