. Ms. Alison drew a box-and-whisker plot to represent her students’ scores on a mid-term test.
Josh received 72 on the test. Describe how his score compared to those of his classmates.
(1 point)About 25% scored higher; about 75% scored lower.
Everyone scored higher.
No one scored higher.
About 50% scored higher; about 50% scored lower.
No plot.
Lowest value = 44
Lowest quartile = 47
Median = 72
Highest quartile = 81
Highest value = 96
Lower quartile and upper quartile*
To determine how Josh's score compares to his classmates' scores on the mid-term test based on the box-and-whisker plot, you need to understand the components of the plot.
A box-and-whisker plot is a visual representation of a data set that shows the distribution and spread of the data. The plot typically consists of a box, which represents the interquartile range (the range between the first quartile and the third quartile), and "whiskers" or lines that extend from the box, which represent the minimum and maximum values of the data set.
In this case, Josh's score is represented by a dot on the plot. To compare his score to his classmates' scores, you need to examine the location of this dot in relation to the rest of the plot.
If Josh's score is located within the box, it means that his score falls within the interquartile range of his classmates' scores. This suggests that about 50% of his classmates scored higher and about 50% scored lower.
If Josh's score is located above the upper whisker or line, it means that his score is higher than the highest score of his classmates. In this scenario, no one scored higher than Josh.
If Josh's score is located below the lower whisker or line, it means that his score is lower than the lowest score of his classmates. In this case, everyone scored higher than Josh.
If Josh's score is located between the median (the middle value of the data set) and the upper whisker, it means that about 25% of his classmates scored higher and about 75% scored lower.
Therefore, based on the description provided, the correct answer would be: About 25% scored higher; about 75% scored lower.