49.8k views
0 votes
Teresa counted the number of tomatoes in nine baskets at a vegetable stand. The list shows the data. 11,12,8,12,8,8,11,11,9. What is the difference between the mean in the median of the data?

User Joe Dean
by
8.0k points

1 Answer

3 votes

Final answer:

To find the difference between the mean and the median of Teresa's tomato counts, we calculated the mean to be 10 and the median to be 11. The difference between them is 1.

Step-by-step explanation:

Teresa has a list of numbers representing the number of tomatoes in nine baskets which are 11, 12, 8, 12, 8, 8, 11, 11, 9. To find the difference between the mean and the median, we first need to calculate each one separately.

Calculating the Mean

Firstly, we add all the numbers together: 11 + 12 + 8 + 12 + 8 + 8 + 11 + 11 + 9 = 90.

Then, we divide the sum by the number of baskets, which is 9: 90 / 9 = 10.

So, the mean number of tomatoes is 10.

Calculating the Median

To find the median, we need to list the number of tomatoes in order: 8, 8, 8, 9, 11, 11, 11, 12, 12.

Since there are nine numbers, the median is the fifth number: 11.

The Difference

Finally, to find the difference between the mean and the median, we subtract the mean from the median: 11 - 10 = 1.

Therefore, the difference between the mean and the median number of tomatoes is 1.

User Hardik Mehta
by
8.6k points