A company selling clothing on the internet reports that the packages it ships ha

Question

A company selling clothing on the internet reports that the packages it ships have a median weight of 85 ounces and an IQR of 40 ounces a) The company plans to include a sales flyer weighing 3 ounces in each package. What will the new median and IQR be? b) If the company recorded the shipping weights of the packages with the sales flyers included in pounds instead of ounces, what would the median and IQR be? a) The new median will be ounces. The new IQR will be ounces. (Type integers or decimals rounded to one decimal place as needed.) b) The new median would be pounds. The new IQR would be pounds (Type integers or decimals rounded to one decimal place as needed.)

Explanation / Answer

a]

If company plans to increase each package weight by 3 ounces.

The new Median is also increase by 3 ounces that is

New Median = Old Median + 3 ounces = 85 + 3 = 88 ounces

And New IQR is remains same. that is Old IQR = New IQR = 40 ounces

For example: Suppose that Q1 = 65 , Median = 85 , and Q3 = 105 ==> IQR = Q3 - Q1 = 105 - 65 = 40

After incresing by 3 units Q1 = 68, Median = 88, and Q3 = 108 ==> IQR = Q3 - Q1 = 108 - 68 = 40

b]

The new Median would be = 5.5 pounds

The new IQR would be = 2.5 pounds

{conversion 1 ounces = 0.0625 pounds}

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