Q:

Will marked BRAINLIEST!! Kristin bought 9 potatoes at the farmer's market. The shortest diameter of each, in centimeter, is shown below. 3,3,4,4,5,6,7,8,9After Kristin used one potato to make dinner, the median diameter of the remaining potatoes was 4.5 centimeters. Which of these could be the diameter, in centimeter, of the potatoes Kristin used? Plz explain and show work.A. 3 B. 4C. 5D. 6

Accepted Solution

A:
Answer: The diameter of the potatoes used is 6 cm ⇒ answer DStep-by-step explanation:* Lets explain how to find the median of same data- At first you must arrange the data- Divide the number of data by 2 to find the middle one- If the number of the data is odd, then we have one middle number# Ex: if the number of the data is 5 then the middle one is the   third number- If the number of the data is even, then we have two middle numbers,  so we take their average# Ex: If the number of the data is 6 then the third and the fourth   are the middle numbers, then the median will be half their sum* Now lets solve the problem∵ The data are 3 , 3 , 4 , 4 , 5 , 6 , 7 , 8 , 9- There are 9 numbers∴ The fifth number is the middle number∴ The median = 5- Kristin used one of them∴ The number of the data is now 8∵ The median is the average of the middle two numbers x1 , x2∴ The median = (x1 + x2)/2∵ The value of the median 4.5∴ 4.5 = (x1 + x2)/2 ⇒ multiply both sides by 2∴ x1 + x2 = 9∴ The two middle numbers are 4 and 5 because their sum = 9- We have three numbers before the middle term- We have four number after the middle term∴ We can take out 6 or 7 or 8 or 9 ∵ The answer has only 6∴ The diameter of the potatoes used is 6 cm