Question

The table below shows the number of hours some business people in two states spend in meetings each week:

State A 21 23 24 22 24 25 23 23 22
State B 24 22 20 23 23 50 20 46 21

Are the box plots symmetric? Justify your answer.

Answer 1

I would first order them from least to greatest State A 21 22 22 23 23 23 24 24 25 State B 20 20 21 22 23 23 24 46 50. now analyze data State A find the 'middle' value, that is your median if you have odd number of terms , it is exact middle. if even number of terms, then take average of two adjacent middle terms. 21 22 22 23 23 23 24 24 25 median is 23 median of lower half is Q2 21 22 22 23 , median is (22 + 22) /2 = 22 median of upper half is Q3 Five point summary of state A minimum : 21 Q1 : 22 median: 23 Q3: 24 maximum 25 IQR = 2 Five point summary of state B minimum : 20 Q1 : 20 median: 22 Q3: 35 maximum 50 IQR = 15