Question

3. (05.02 LC)The box plots show the math scores of students in two different classes:Class AClass B50207555303630Based on the box plots, which statement is correct? (4 points)The median score of Class A is greater than the median score of Class BThe lower quartile of Class A is greater than the lower quartile of Class BThe upper quartile of Class A is greater than the upper quartile of Class BThe maximum score of Class A is greater than the maximum score of Class B.4. 05.02MCThe number ofno

Answer 1

In a box plot the data are distributed according to the figure below:

Step 01: Let's extract the scores from both graphs (approximate values):

Minimum values (scores):

Class 01: 54

Class 02: 64

Lower quartile:

Class 01: 72

Class 02: 70

Median:

Class 01: 75

Class 02: 75

Upper quartile:

Class 01: 88

Class 02: 92

Maximum value:

Class 01: 95

Class 02: 100

Step 02: Analyze the answer options.

a) Median of Class A is greater than Median from Class B.

False. 75 = 75; Median_A = Median_B.

b) The lower Quartile of Class A is greater than the lower quartile of Class B.

True. 72 > 70. Lower Quartile A > Lower Quartile B.

c) The upper Quartile of Class A is greater than the upper Quartile of Class B.

False. 88 < 92. Upper Quartile A < Upper Quartile B.

d) The maximum score of Class A is greater than the maximum score of Class B.

False. 95 < 100. Maximum score A < Maximum score B.

Answer: The lower Quartile of Class A is greater than the lower quartile of Class B.