1

The test scores of 25 students in a class are as follows: 18, 34, 45, 78, 39, 60, 81, 32, 90, 95, 85, 25, 15, 88, 50, 40, 91, 79, 34, 85, 13, 35, 89, 87, and 94. Find IQR.

A) IQR = 51

B) IQR = 58

C) IQR = 53

D) IQR: 59

2

Exam scores: 82, 90, 105, 86, 98, 101, 99, 90, 95, 97, 67, and 89. Construct a box-and-whisker plot that represents the data. Describe the distribution.

A) Q1: 88.25 Q3: 98.25 median: 92.5 minimum: 67 maximum: 105

B) Q1: 85.5 Q3: 90.5 median: 97 minimum: 68 maximum: 108

C) Q1: 87.5 Q3: 98.5 median: 67 minimum: 94 maximum: 105

D) Q1: 80.5 Q3: 87.5 median: 94 minimum: 67 maximum: 105

3

Data Set 1: 105, 110, 115, 118, 125, 130, 135, 138, 140, 145, 150, 155, 158, 160, 165, 170, 175, 178, 180, 185, and 220. Calculate the first quartile (Q1), third quartile (Q3), and interquartile range (IQR) for the data set.

A) First quartile (Q1) is 110 Third quartile (Q3) is 172 Interquartile range (IQR) is 40.5

B) First quartile (Q1) is 105 Third quartile (Q3) is 220 Interquartile range (IQR) is 45

C) First quartile (Q1) is 165 Third quartile (Q3) is 178.5 Interquartile range (IQR) is 40

D) First quartile (Q1) is 127.5 Third quartile (Q3) is 172.5 Interquartile range (IQR) is 45

4

Make a box-and-whisker plot that represents the data. Describe the distribution. Test scores: 80, 85, 95, 82, 92, 98, 96, 85, 90, 93, 65, and 87.

A) Unsymmetric

B) Positive skewed

C) Negative skewed

D) Symmetric

5

A researcher records the heights (in centimeters) of a sample of 25 trees. Heights: 150, 160, 170, 155, 165, 175, 180, 190, 195, 200, 210, 220, 225, 230, 235, 240, 250, 260, 270, 275, 280, 285, 290, 295, and 500. Identify any outliers in the data set using the 1.5 \times IQR rule.

A) 1 outlier at 500

B) 1 outlier at 400

C) 2 outlier at 200

D) 2 outlier at 300

6

Consider the following dataset representing the number of daily calories consumed by a group of individuals over a week: 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, and 5000. Determine if there are any outliers in the dataset using the 1.5 \times IQR rule. Create a box plot to visualize the data and identify any outliers.

A) 2 outlier at 4000.

B) 1 outlier at 5000.

C) 1 outlier at 2000.

D) 1 outlier at 0

7

You have the following dataset representing the scores of students in a science test: 58, 60, 62, 65, 67, 68, 70, 72, 73, 75, 76, 78, 80, 82, 85, 87, 88, 90, 92, 95, 97, 98, 100, and 105. Identify the outliers in the dataset using the Interquartile Range (IQR) method.

A) 110

B) 115

C) No outlier

D) 120

8

Identify any outliers in the following data set of monthly electricity bills (in dollars): 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, and 250.

A) 190 as an outlier

B) 210 as an outlier

C) 250 as an outlier

D) No outliers

9

In a dataset of weekly quiz scores, the following scores were recorded: 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, and 141. Determine if there are any outliers in the dataset using the 1.5 \times IQR rule.

A) No outliers

B) There are 2 outliers

C) There are 5 outliers

D) The question is wrong

10

Identify any outliers in the following data set of weekly grocery expenses (in dollars): 80.5, 85.2, 90.8, 95.4, 100.1, 105.7, 110.3, 115.9, 120.5, 125.2, 130.8, 135.4, 140.0, 145.7, 150.3, 155.9, 160.5, 165.2, 170.8, and 300.0.

A) 1 outlier at 600

B) 1 outlier at 300

C) 1 outlier at 500

D) 1 outlier at 400