Listed below are the lead concentrations (in mg/g) measured in different samples

Question

Listed below are the lead concentrations (in mg/g) measured in different samples of a medicine. What do the suggest about the safety of this medicine? What do the decimal values of the listed amounts suggest about the precision of the measurements? 11 3.5 7 15.5 4.5 15.5 16.5 18.5 12.5 The midrange of the data set is __ mg/g. (Type an integer or a decimal. Do not round.) The median of the data set is __ mg/g. (Type an integer or a decimal. Do not round.) What is the mode of the data set? Select the correct below and, if necessary, fill in the answer box within your choice. The mode(s) of the data set is (are) __. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) There is no mode. What do the results suggest about the safety of this medicine? Choose the correct answer below. The lead content in this medicine is lethal to a patient.

Explanation / Answer

Putting the data in acsending order, we get

3.5, 4.5, 6, 7, 11, 12.5, 15.5,15.5,16.5,18.5

The Midrange = (Highest Value - Lowest Value)/2 = (18.5-3.5)/2 = 15/2 = 7.5

The Median: Since the number of observations is 10, which is even, the median is the average of the middle 2 values i.e average of the 5th and 6th values = (12.5+15.5)/2 = 28/2 = 14

The Mode is that value which occurs the maximum number of times which is 15.5.

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