Researchers in obesity warted to compare the effectveness of dieting with exeroi

Question

Researchers in obesity warted to compare the effectveness of dieting with exeroise against dieting without exeroise. Saventy tree patients were randomly divided into two groups. Group 1, composed of 34 with exerase Group 2·composed or 37 patents, deted only. The resuls forts weght loss, n pounds. air 2 monts n onarized n he blomtepet, he op boxplot is for Group 1 and the bodom bexplat is for Group 2. Use the boxplots to compare the weight losses for the two groups, paying special ateelion to center and varation Choose the correct answer below A The weight losses for the two groups are, on average, roughly the same. However, there is less variation in the weight losses of Group 1 than of Group 2 O8. The OC· Group 2 lost more wept, on average, than Group 1 OD The vanation i·myt loss between boe,group"the same The center ol Group 2 falhgher than Group 1 weight losses for the hwo groups are, on average, roughly the same. However, thene is less variation in the weight losses of Group 2 than of Group 1 ick to select your answer

Explanation / Answer

the variation in box plot is measured by IQR. IQR = Q3-Q1

Q1 is the minimum value of the box on the box plot. Q3 is the maximum value of the box on the box plot.

the IQR for group 2 is more than that of group 1. hence i can say that variaiton of group 2 is more than that of group 1.

i prefer that measure of central tendency is reliable when measure of variation is low.

the measure of central tendency is median value in the boxplot. the median (Q2) is the value on which middle line of box falls.

considering all these points. i go with option 1) The weight loss for the two groups are on an average roughly the same. However there is less variation in the weight losses of group 1 than the group 2.

here,

1) Median for group 1 is approximately same as Median for group 2

2) variation - IQR for group1 < IQR group 2

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