Question

5. The high temperatures in March in Dutchess County, New York, are shown in the box plot. Which of the following is the median high temperature?

A.28 B.40 C.36 D.48
6. Which of the following is the interquartile range of the data set shown in the box plot below?
A.110 B.55 C.60 D.85
7. Which of the following correlation coefficient values below indicates the greatest correlation between the two variables?
A. r=0.78 B.r=0.12 C.r=-0.54 D.r=-0.97
8. A survey of 52 graduating seniors was conducted to determine if there was a connection between the gender of the student and whether they were going on to college. Of those going to college, what proportion are male?
A.0.53 B.0.55 C.0.31 d.0.16

Answer 1

Without the specific box plots, numeric answers for median and interquartile range cannot be determined, but the concepts behind them are explained. The strongest correlation coefficient is r=-0.97. Additional data is needed to determine the proportion of male students going to college.

Step-by-step explanation:

The provided questions are related to statistics concepts such as median, interquartile range (IQR), correlation coefficients, and proportions, which are essential for analyzing and interpreting data.

To find the median of high temperatures, we would need to list the temperatures in ascending order and find the middle number; however, since we do not have the specific box plot referenced, we cannot determine the median from the given choices. The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1). Again, without the specific box plot, we cannot give a numerical answer, but the IQR measures the spread of the middle fifty percent of the data.

The correlation coefficient value that indicates the strongest correlation, whether positive or negative, is the one closest to -1 or 1. Thus, r=-0.97 indicates the greatest correlation. As for the question about graduating seniors, the proportion of males going to college would need additional data to be calculated, such as the number of males in the group of students that were surveyed.