Question

1. two brands of cell phones were tested to see how many hours they would last on a single charge. the hours for each phone tested from each brand are recorded in the back - to - back stem - and - leaf plot. which statement is true? a the median of brand a is less than the median of brand b, so it has less variability. b by looking at the measures of center, you can infer that a cell from brand a will last longer on one charge than one from brand b. c the range of brand b is larger than the range of brand a, which implies that brand b has more variability in the number of hours one charge lasts. d there is no overlap between the two brands. 8. what is a valid inference to make if two data sets have the same range and iqr? select all that apply. there must be a lot of overlap between the two data sets. increasing every data point by 10 will not affect the variability. if one data set has a much higher median than the other, this means it has more variability. the data sets must also have the same measures of center. the two data sets have the same amount of variability.

Explanation:

7.

Step1: Write out data for Brand A

Brand A data: 4, 4, 5, 6, 8, 8, 9, 9, 12, 12, 12, 13, 13, 14

Step2: Write out data for Brand B

Brand B data: 3, 4, 5, 6, 8, 8, 10, 10, 12, 14, 14, 16, 18, 20

Step3: Calculate range of Brand A

Range of Brand A = 14 - 4 = 10

Step4: Calculate range of Brand B

Range of Brand B = 20 - 3 = 17

Step5: Analyze statements

Statement A: Median - related to central - tendency, not directly to variability.
Statement B: Measures of center don't fully determine individual performance.
Statement C: Since 17>10, Brand B has a larger range and more variability.
Statement D: There is overlap in the data.

Step1: Analyze each option

Option 1: Same range and IQR don't guarantee a lot of overlap.
Option 2: Increasing every data - point by 10 just shifts the data, doesn't change spread (variability).
Option 3: Median is a measure of central - tendency, not variability.
Option 4: Same range and IQR don't mean same measures of center.
Option 5: Range and IQR are measures of variability, so same range and IQR mean same amount of variability.

Answer:

C. The range of Brand B is larger than the range of Brand A, which implies that Brand B has more variability in the number of hours one charge lasts.

8.