The following table shows the number of hours some middle school students in two cities spend texting each week: City A 9 27 17
24 21 12 25 25 18 City B 6 20 26 15 23 25 14 14 11 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)
1 answer:
Five-number summaries are: lowest value, highest value, upper quartile (Q₃), median (Q₂) and lower quartile (Q₁)
The first step is to rearrange each data set in ascending order as shown in the first diagram
The median (Q₂) of each data set is located on the
value.
Once the median is located, we then have the set of data on the left and on the right of median where we are going to locate the Q₁ and Q₃.
Q₁ is located in between the
and the 
value and Q₃ is located between the 
and the 
value.
The box plot of each data set are shown in the second diagram
The box plots aren't symmetric. Box plot for City A tails on the left (negative skew) and box plot for city B also tails on the left (negative skew).
The first step is to rearrange each data set in ascending order as shown in the first diagram
The median (Q₂) of each data set is located on the
Once the median is located, we then have the set of data on the left and on the right of median where we are going to locate the Q₁ and Q₃.
Q₁ is located in between the
The box plot of each data set are shown in the second diagram
The box plots aren't symmetric. Box plot for City A tails on the left (negative skew) and box plot for city B also tails on the left (negative skew).
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