The following table shows the number of hours some students in two neighborhoods spend on social media each day:

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. (5 points)
Part B: Are there any outliers present for either data set? Justify your answer mathematically. (5 points)

Quartiles divide the data values into four parts; the first quartile is the 25th percentile, the second quartile is the 50th percentile (also the median), and the third quartile is the 75th percentile.

Firstly, order the two data set from smallest to largest as shown in diagram below

The value of median, Q2 is the 5th value of both set

The value of Q1 and Q3 is the first and third quarter of the set

The range of data set one is 5-2=3 and of set two is 12-1=11

The interquartile range of set one is 5 - 2 = 3

The interquartile range of set two is 5 - 1.5 = 3.5

Thus, the box plot is not symmetrical for either data set.

Learn more about Quartile from:

https://brainly.com/question/7039036

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