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The following table shows the number of hours some high school students in two towns spend riding the bus each week:
 Town A: 5 3 9 4 20 9 5 7 6
Town B:  8 8 3 5 5 6 3 9 9

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer. (4 points)

(10 points)

Respuesta :

IQR = Q3 - Q1

total amount of people in Town A = 5 +3+9+4+20+9+5+7+6 = 68

Divide these into 4 groups(68/4 = 17): so Q1 =17, Q2 = 34, Q3 = 51 and Q4 = 68

IQR = Q3 - Q1 = 51 - 17 = 34

IQR =Q3 -Q1

Total amount of people in town B = 8+8+3+5+5+6+3+9+9 = 56

Divide these into 4 groups(56/4 = 14): so Q1 = 14, Q2 = 28, Q3 = 42, Q4 =56.

IQR = Q3 - Q1 = 42 - 14 = 28

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