The following table shows the number of hours some students in two neighborhoods spend walking to school each week: neighborhood a 5 2 4 2 5 5 4 5 2 neighborhood b 4 5 5 1 12 2 2 1 3 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)

Neighborhood A :
first, put the numbers in order...
2,[2,2],4,(4),5,[5,5],5

5 number summary :
minimum = 2
Q1 = 2
Q2 (median) = 4
Q3 = 5
maximum = 5
IQR = Q3 - Q15 - 2 = 3...so the IQR = 3

Neighborhood B :
1,[1,2],2,(3),4,[5,5],12

5 number summary :
minimum = 1
Q1 = (1 + 2) / 2 = 3/2 or 1.5
Q2 (median) = 3
Q3 = 5
maximum = 12
IQR = Q3 - Q15 - 1.5 = 3.5

are the box plots symmetrical ?

Neighborhood A : the median is 4the minimum is 2so thats 2 spaces from the median...the maximum is 5so thats 1 space from the median...and being that they are not the same distance from the median, ur box plot is skewed to the left...so this is not symmetrical

Neighborhood B : the median is 3the minimum is 1so thats 2 spaces from the median...the maximum is 12so thats 10 spaces from the medianthese are not symmetrical especially since u have an outlier of 12this is skewed to the right