Ms. Alison drew a box-and-whisker plot to represent her students’ scores on a midterm test. Josh received an 88 on the test. Describe how his score compares with those of his classmates
A. about 50% scored higher; about 50% scored lower.
B. About 8% scored higher; about 92% scored lower.
C. About 25% scored higher; about 75% scored lower.
D. About 75% scored higher; about 25% scored lower.
what is the answer?
nice
where is 88 in its box?
To answer this question, we need to understand how to interpret a box-and-whisker plot. A box-and-whisker plot, or a box plot, is a graphical representation of data that shows the distribution and spread of a dataset.
In a box plot, the box represents the middle 50% of the data, also known as the interquartile range (IQR). The line inside the box represents the median. The whiskers, typically represented by lines or bars, extend from the box to the minimum and maximum values (excluding outliers) of the dataset.
Based on the given information, we know that Josh's score is 88. To determine how his score compares to his classmates, we need to look at where 88 falls within the box-and-whisker plot.
Option A (about 50% scored higher; about 50% scored lower) would be correct if the median of the box plot was 88.
Option B (about 8% scored higher; about 92% scored lower) would be incorrect as it suggests that Josh's score is much higher than most of his classmates, which is not suggested by a typical box-and-whisker plot.
Option C (about 25% scored higher; about 75% scored lower) would be incorrect as well. It implies that Josh's score is in the lower quartile, which is not accurate.
Option D (about 75% scored higher; about 25% scored lower) would be the most accurate answer. In a typical box-and-whisker plot, the bottom of the box represents the 25th percentile, which means 25% of the students scored lower than that value. Therefore, since Josh's score is higher than the bottom of the box, we can infer that approximately 75% of his classmates received lower scores.
So, the correct answer is D. About 75% scored higher; about 25% scored lower than Josh's score of 88.