The dot plots show the distribution of GPAs for two schools with graduating classes of 20 students each. Which school had the highest standard deviation? Responses

Question

Responses

A - School A

B - School B

C - The standard deviations are the same.

D - Not enough information

Answer 1

Dots in the plot indicate the number of students at a particular GPA number. The number of dots in a column signify the number of students with that GPA.

List each GPA in a table, find the average, determine the difference from the average from each point.and then square the difference. Next add all the squared differences and divide it by the number of points. Finally, take the square root of this number to get the standard deviation.

School A

School B

Therefore school A has the higher standard deviation.

Answer 2

based on the given dot plots, it is not possible to determine which school had the highest standard deviation. The dot plots only provide information about the distribution of GPAs in each school, such as the range, the mode, and the median, but they do not give any information about the spread or variability of the data, which is measured by the standard deviation. To compare the standard deviations of the two schools, we would need to calculate them using the raw data or additional statistics. Therefore, the correct answer is (D) Not enough information.