Question

comparing data sets represented in a table
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.

Explanation:

Step1: Arrange primary phone data in ascending order

$0.07,0.08,0.1,0.12,0.13,0.14,0.22,0.35$

Step2: Calculate range of primary phone data

Range = Max - Min = $0.35 - 0.07=0.28$

Step3: Arrange secondary phone data in ascending order

$0.45,0.45,0.5,0.6,0.68,0.82,0.91,1.18$

Step4: Calculate range of secondary phone data

Range = Max - Min = $1.18 - 0.45 = 0.73$

Step5: Find median of primary phone data

Since $n = 8$ (even), median = $\frac{0.12 + 0.13}{2}=0.125$

Step6: Find median of secondary phone data

Since $n = 8$ (even), median = $\frac{0.6 + 0.68}{2}=0.64$

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 $0.64$ gigabytes greater than the median data usage of the primary phone.