Answer:
Yes.
Step-by-step explanation:
Given:
A researcher records the following data for the number of different food items chosen by seven participants in a buffet-style setting: 1, 6, 2, 5, 4, 3, and 7.
Question asked:
Is the mean equal to the median in this example ?
Solution:
First of all we will calculate mean the median and then compare between these two:-
As we know:
[tex]Mean=\frac{Sum\ of\ observations }{Number\ of\ observations}[/tex]
[tex]=\frac{1+6+2+5+4+3+7}{7} \\\\=\frac{28}{7} =4[/tex]
Mean = 4
To find median, first we will order these as ascending order:
1, 6, 2, 5, 4, 3, 7 = 1, 2, 3, 4, 5, 6, 7
For odd number of observations,
[tex]Median=\frac{n+1}{2},\ n=Number\ of\ observations[/tex]
[tex]=\frac{7+1}{2} =\frac{8}{2} =4[/tex]
That means, fourth term will be the median
Median = 4
We found that mean and median both are 4.
Thus, yes mean and median both are equal in this example.
