Question

elm lawn middle school organizes its annual canned - food drive as a contest. they compete to see which of the 18 homerooms collects the most cans of food. this year, each homeroom collected at least 60 cans, with some collecting over 100. the median number of cans collected was 86.5, and the interquartile range was 23 cans. which is a typical number of cans a homeroom collected this year? 18 cans 23 cans 60 cans 86.5 cans

Explanation:

Step1: Understand median concept

The median represents the middle - value of a data - set when it is arranged in ascending or descending order. It is a measure of central tendency. In a data - set, half of the data values are less than or equal to the median and half are greater than or equal to the median. It gives a typical value of the data - set.

Step2: Analyze given values

We are given that the median number of cans collected is 86.5. The values 18 and 23 are much lower than the range of values (at least 60 and some over 100). The value 60 is just the lower - bound of the range of cans collected per homeroom.

Answer:

86.5 cans