Question

What does the relationship between the mean and median reveal about the shape of the data? The mean is less than the median, so the data is skewed left. The mean is more than the median, so the data is skewed right. The mean is equal to the median, so the data is symmetrical. The mean is equal to the median, so the data is linear.

Answer 1

The mean is equal to the median, so the data is symmetrical.

Explanation:

Answer 2

The mean is equal to the median, so the data is symmetrical

Explanation:

Here is the data.

10 5 8 10 12 6

8 10 15 6 12 18

The given data: 10 5 8 10 12 6 8 10 15 6 12 18

For finding the Mean, we will have to add all numbers together and divide it by total number. i.e sum of terms divided by number of terms

Mean= 10+5+8+10+12+6+8+10+15+6+12+18 ÷ 12

Mean = 120 ÷ 12 = 10

For finding the Median, first we need to rearrange the data in ascending order

5 6 6 8 8 10 10 10 12 12 15 18

We can see that the middle values are 10 and 10. So, the median will be the average of those two middle values.

Median = 10+10 ÷ 2

Median = 20 ÷ 2 = 10

From the calculation, we can see that both the median and mean are equal so, the data is symmetrical