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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)

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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 [tex] 5^{th} [/tex] 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 [tex] 2^{nd} [/tex] and the [tex]3^{rd} [/tex] value and Q₃ is located between the [tex]7^{th} [/tex] and the [tex]8^{th} [/tex] 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).
Ver imagen merlynthewhizz
Ver imagen merlynthewhizz

Answer: the other person is right on everything except the Q3 of City A it would be 25.

Step-by-step explanation:

25 + 25 = 50

50 ÷ 2 =25

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