Question

A nurse practitioner is studying the effects of sugary drinks on weight gain. To begin the study, the nurse practitioner asks a random sample of patients how many sugary drinks they consume in one day. Each person is asked to report a whole number. The results of the survey are shown in this relative frequency histogram. Relative frequency histogram of number of sugary drinks consumed in one day. There are seven bins of discrete values ranging from 0 to 6. The relative frequencies of the bins from left to right are 0.07, 0.02, 0.01, 0.30, 0.06, 0.22, and 0.32. Determine the median number of sugary drinks consumed in one day by the patients sampled in the survey.

Answer 1

The median number of sugary drinks consumed in one day by the patients sampled in the survey is 0.07

Given the required relative frequencies of the bins from left to right as shown;

0.07, 0.02, 0.01, 0.30, 0.06, 0.22, and 0.32

• The median of the data is the value that falls in the middle after rearrangement either in ascending or descending order.

Re-rrange the data in ascending order

0.01, 0.02, 0.06), 0.07, (0.22, 0.30, 0.32

After re-arranging we can see that the median number of sugary drinks consumed in one day by the patients sampled in the survey is 0.07

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