In a recent issue of the IEEE Spectrum, 87 engineering conferences were announce

Question

In a recent issue of the IEEE Spectrum, 87 engineering conferences were announced. Here is a table indicating how many conferences were scheduled to last various numbers of days: # of days 1 2 3 4 5 6 7 8 9 # of conferences 18 8 9 9 12 6 6 8 11 a. Fill in the five values defining the box-and whisker plot below. A= ______ B = ______ C= _______ D = _____ E = _______ b. The 65^th percentile is: _________ c. The 10^th percentile is _______ d. The middle 50% of the conferences last from ______ to _______ days. e. The sample mean of the conference lengths is ________ f The mode of the conference lengths is ______

Explanation / Answer

Arrange the data in increasing order, we get

Min (A) = 6

Max(E) = 18

Q1(B) = (6+8)/2 = 7

Q2(C) = 9

Q3(D) = = (11+12)/2=11.5

b) 65th percentile = 0.65*(9+1)=6.5th data=(9+11)/2=10

c) 10th percentile = 0.1*(9+1)=1st data=6

d) Middle 50% of conferences last from 7 to 11.5 days

e) Sample mean = (6+6+8+8+9+9+11+12+18)/9 = 9.67

e) Modes are 6, 8 and 9

6 6 8 8 9 9 11 12 18

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