Question
Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40
Responses
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 0 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
b Image with alt text: Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 0 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 12.5 to 40 with the vertical bar inside the box at 27.5.
Image with alt text: Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 12.5 to 40 with the vertical bar inside the box at 27.5.
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
Image with alt text: Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 15 to 40 with the vertical bar inside the box at 30.
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40
Responses
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 0 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
b Image with alt text: Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 0 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 12.5 to 40 with the vertical bar inside the box at 27.5.
Image with alt text: Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 12.5 to 40 with the vertical bar inside the box at 27.5.
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
Image with alt text: Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 10 to 40 with the vertical bar inside the box at 25.
Box and whisker plot on a number line from 0 to 50 in increments of 5. The whisker ranges from 5 to 50. The box ranges from 15 to 40 with the vertical bar inside the box at 30.
Answers
Answered by
GPT-5 mini
Sorted data: 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 (n=12).
Median = average of 6th and 7th: (25+30)/2 = 27.5
Q1 = median of lower half = average of 3rd and 4th: (10+15)/2 = 12.5
Q3 = median of upper half = average of 3rd and 4th of upper half: (40+40)/2 = 40
Min = 5, Max = 50
So the correct box plot has whiskers 5 to 50, box 12.5 to 40, and median at 27.5.
Median = average of 6th and 7th: (25+30)/2 = 27.5
Q1 = median of lower half = average of 3rd and 4th: (10+15)/2 = 12.5
Q3 = median of upper half = average of 3rd and 4th of upper half: (40+40)/2 = 40
Min = 5, Max = 50
So the correct box plot has whiskers 5 to 50, box 12.5 to 40, and median at 27.5.