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Sagot :
The mean x=10 and the median=10 are equal, then the data is a normal distribution and the shape will be symmetrical "bell curve".
In the given question, Colin surveyed 12 teachers at his school to determine how much each person budgets for lunch.
He recorded his results in the table.
A 6-column table with 2 rows
The first row contains entries 10, 5, 8, 10, 12, 6.
The second row contains entries 8, 10, 15, 6, 12, 18.
We have to find the relationship between the mean and median reveal about the shape of the data.
The data elements are given as:
10, 5, 8, 10, 12, 6, 8, 10, 15, 6, 12, 18
Start by sorting the above data elements in ascending order.
5, 6, 6, 8, 8, 10, 10, 10, 12, 12, 15, 18
The mean of the dataset is then calculated as:
X = 5+6+6+8+8+10+10+10+12+12+15+18/12
X = 120/12
X = 10
The median of element is then calculated as:
Median = n/2th
Median = 12/2th
Median = 6th
This means that, the median is of the 6th elements.
So, we have:
Median = 10
When the mean and the median are equal, then
- The data is a normal distribution
- The shape will be symmetrical "bell curve".
To learn more about mean and median link is here
brainly.com/question/28670966
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