Question

Suppose the data represent the inches of rainfall in a certain city for 20 randomly selected years. (a) Determine the quartiles. (b) Compute the interquartile range, IQR. (c) Determine the lower and upper fences. Are there any outliers, according to this criterion? 0.75 1.23 1.42 1.82 2.01 2.18 2.33 2.62 2.73 2.93 3.32 3.67 3.85 4.06 4.46 4.89 5.14 5.34 5.69 5.86 (a) What are the quartiles? Q,- 0- (b) IQR- (c) The lower fence is The upper fence is Are there any outliers in the given data set? O A. Yes, there are values below the lower fence. OB. No, all the values are between the lower and upper fences. OC. Yes, there are values above the upper fence OD. Yes, there are values above the upper fence and below the lower fence. Click to select your answer(s).

Answer 1

Given data: 0.75, 1.23, 1.42 1.82,2.01, 2.18, 2.33, 2.62, 2.73, 2.93 3.32, (3.67, 3.85, 4.06,446, 4.89,5.14, 5.34,5.69,5.86 a) Qi = mediom of first half = 2.01+2.18 = 2.095 2 Q2 = median of total data = 2.93+3+32 = 30125 2 Qzz median of second half = 46467489 = 4.675 2 - Qi= [2.095 Q2 = (3.125 Q3 = 4.675 IQR = Q3-Qi - 4675 - 2.095 IQR = 2.58 | b) <(IRR) 6.58) lower fence = Q,-1,5 (IQR) = 2.095 - 1.5 (2.58) .-1.775 upper fence = Q3 + 1.5 (IDR) = 4675 + 15(2.58) 8.545 = -. fence -1775 lower opper fence - (8.545

as greater than of given data is since least value of given data lower fence and maximum value less than upper sence, There are no outliers the -B. NO, all the values are between lower and upper fences ® There are no outlers,