1

Consider the following dataset of monthly incomes (in dollars) for a household over a year: 2200, 2300, 2250, 2400, 2350, 2300, 2250, 2200, 2250, 2200, 2500, 2550, 2600, 2650, 2700, 2750, 2800, 2850, 2900, 2950, 3000, 3050, 3100, and 7000. Determine if there are any outliers in the dataset using the 1.5 \times IQR rule.

A) There are no outliers in the dataset

B) There are three outliers in the dataset

C) There are two outliers in the dataset

D) There is one outlier in the dataset

2

Identify any outliers in this set of bicycle ride durations (in minutes): 40, 45, 47, 50, 52, 55, 58, 60, 62, 63, 65, 67, 70, 72, 75, 80, 85, 90, and 150, using the 1.5 \times IQR rule.

A) No outlier

B) One outlier and the bicycle ride duration is 150 minutes

C) Two outliers and the bicycle ride duration is 100 minutes

D) Three outliers and the bicycle ride duration is 50 minutes

3

You have the following dataset representing the daily temperatures (in degrees Celsius) recorded over a month: -5, -3, 0, 2, 5, 8, 10, 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40, 42, 45, 48, 50, 55, 60, 65, 70, 75, 80, and 85. Identify any outliers in the dataset using the Interquartile Range (IQR) method.

A) One outlier and the bicycle ride duration is 150 minutes

B) Two outliers and the bicycle ride duration is 100 minutes

C) No outlier

D) Three outliers and the bicycle ride duration is 50 minutes

4

The following data represents the scores of 15 students in a physics quiz: 15, 18, 20, 21, 23, 25, 26, 28, 30, 32, 34, 36, 38, 40, and 42. Calculate the interquartile range.

A) 15

B) 13

C) 17

D) 11

5

The following data represents the heights (in centimeters) of 15 students in a class: 160, 165, 168, 170, 172, 175, 178, 180, 182, 185, 187, 190, 195, 198, and 210. Calculate the interquartile range and identify any outliers.

A) IQR: 20, Outlier: 1

B) IQR: 20, Outlier: 0

C) IQR: 17.5, Outlier: 2

D) IQR: 17.5, Outlier: 210

6

In a dataset of test scores, the following scores were recorded: 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, and 144. Determine if there are any outliers in the dataset using the 1.5 \times IQR rule.

A) There are no outliers in the dataset

B) There are six outliers in the dataset

C) There are two outliers in the dataset

D) There is one outlier in the dataset

7

In a study of the heights of students in a school, the following data was recorded (in inches): 62, 66, 63, 68, 69, 71, 65, 63, 73, 70, 63, 69, 70, 68, 63, 69, 71, 76, 63, and 68. Provide a statistical analysis of the height distribution in the form of a box-and-whisker plot.

A) Minimum Height: 62 inches Q1: 68 inches Q2: 70 inches Q3: 63 inches Maximum Height: 76 inches IQR: 7 inches

B) Minimum Height: 62 inches Q1: 70 inches Q2: 68 inches Q3: 63 inches Maximum Height: 76 inches IQR: 7 inches

C) Minimum Height: 62 inches Q1: 60 inches Q2: 70 inches Q3: 68 inches Maximum Height: 76 inches IQR: 7 inches

D) Minimum Height: 62 inches Q1: 63 inches Q2: 68.5 inches Q3: 70 inches Maximum Height: 76 inches IQR: 7 inches

8

In a survey of the ages of students in a class, the following data was recorded (in years): 12, 13, 11, 10, 14, 12, 13, 12, 11, 14, 10, 12, 13, 11, 14, 12, 10, 11, 12, and 13. Provide a statistical analysis of the age distribution in the form of a box-and-whisker plot.

A) IQR: 10

B) IQR: 6

C) IQR: 2

D) IQR: 4

9

The quiz scores of 20 students in a class are as follows: 12, 15, 20, 30, 25, 18, 35, 40, 22, 28, 32, 38, 42, 26, 19, 24, 36, 37, 29, and 16. find IQR.

A) IQR: 18

B) IQR: 16

C) IQR: 20

D) IQR: 22

10

Here are the exam scores: 79, 86, 100, 82, 94, 98, 96, 86, 90, 92, 62, and 84. Let’s analyze these scores to identify any potential outliers. How many outliers do you think we might find?

A) Outlier: 4

B) Outlier: 0

C) Outlier: 2

D) Outlier: 1