Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the table shows the monthly data usage in gigabytes for two cell phones…

Question

the table shows the monthly data usage in gigabytes for two cell phones on a family plan. complete the statements. the range of data usage for the primary phone is gigabytes. the range of data usage for the secondary phone is gigabytes. the median data usage of the secondary phone is gigabytes greater than the median data usage of the primary phone.
month primary phone secondary phone
january 0.08 0.45
february 0.07 1.18
march 0.1 0.6
april 0.13 0.5
may 0.12 0.45
june 0.14 0.82
july 0.35 0.91
august 0.1 0.68
september 0.22 0.6

Explanation:

Step1: Find range for primary phone

Range = Max - Min. For primary phone, Max = 0.35, Min = 0.07. So range = 0.35 - 0.07.
$0.35−0.07 = 0.28$

Step2: Find range for secondary phone

For secondary phone, Max = 1.18, Min = 0.45. So range = 1.18 - 0.45.
$1.18−0.45 = 0.73$

Step3: Find median for primary phone

Arrange primary - phone data in ascending order: 0.07, 0.08, 0.1, 0.1, 0.12, 0.13, 0.14, 0.22, 0.35. There are 9 values, so median is the 5th value, which is 0.12.

Step4: Find median for secondary phone

Arrange secondary - phone data in ascending order: 0.45, 0.45, 0.5, 0.6, 0.6, 0.68, 0.82, 0.91, 1.18. There are 9 values, so median is the 5th value, which is 0.6.
Difference = 0.6 - 0.12 = 0.48

Answer:

The range of data usage for the primary phone is 0.28 gigabytes.
The range of data usage for the secondary phone is 0.73 gigabytes.
The median data usage of the secondary phone is 0.48 gigabytes greater than the median data usage of the primary phone.