Question

the parallel dotplots below display the number of scholarship applications submitted by students for each of two schools: a and b. which of the following statements is true? the range for the number of submitted scholarships is larger for school a. the range for the number of submitted scholarships is larger for school b. there is a smaller standard deviation for the number of submitted scholarships for school a. the standard deviation in the number of submitted scholarships is the same for both classes. scholarship applications by class
schools
a
b
9 10 11 12 13 14 15
number of scholarships

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Find range for school A

For school A, maximum = 15, minimum = 9. Range of A=15 - 9 = 6

Step3: Find range for school B

For school B, maximum = 15, minimum = 9. Range of B=15 - 9 = 6

Step4: Analyze standard - deviation concept

The data for school A is more spread out than school B. Standard deviation measures the spread of data. A more spread - out data has a larger standard deviation. So, standard deviation of A > standard deviation of B

Answer:

The range for the number of submitted scholarships is the same for both schools. Since the ranges are equal (both 6) and school A has a more spread - out data (so larger standard deviation), none of the given options are completely correct as stated. But if we consider the range part only, the ranges for school A and school B are equal.