Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below

2, 3, 4

Step-by-step explanation:

Renee bought 7 potatoes at the supermarket. The shortest diameter of each,  

in centimeters, is shown below.

2, 3, 4, 4, 6, 6, 7

After Renee used one potato to make dinner, the median diameter of the remaining  potatoes was 5 centimeters. Which of these could be the diameter, in centimeters,  of the potato Reneetsed?

Solution:

The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.

The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.

Given that the diameter of the potato as:

2, 3, 4, 4, 6, 6, 7

Given that after removing one potato, the median of the remaining  potatoes was 5 centimeters.

After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.

To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.

If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation: