Question

The box plot above summarizes the scores on Maya’s 10 math quizzes throughout the semester. Which of the following statements are true? Select all that apply.
Answers:
A-He lowest score is 40
B- The interquartile range is 20
C-She got a score less than 70 on half of the quizzes
D-She got a score less than 100 on all of the quizzes
E-The average of her 5th- and 6th-highest scores is approximately 75
(Algebra Nation)
Please help :(

Answer 1

Answer:

A, B and E.

Step-by-step explanation:

Remember that a box plot shows the quartiles of the data set, the minium value and the maximum value.

In this case, the lowest score was 40, that means A is correct.

The interquartile range is the difference between the first and the third quartile, which is 90-70= 20. So, B is correct.

The line inside the box represents the second quartile, which is also the median of the data set, in this case, the median is 75. Now, the median is calculated with the mean between the 5th and 6th score. That means E is correct.

Therefore, the right choices are A, B and E.