Answer:
The correct option is 1.
Step-by-step explanation:
Mean is the average of a data set.
![Mean=\frac{\sum x}{n}](https://tex.z-dn.net/?f=Mean%3D%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
Where, n is number of observations.
Median is the mid point of the data, that divides the data in two equal parts.
To find the median, fist we arrange the data is ascending order and then select the middlemost number.
It is given that the mean shoe size of the sample was size 10 and the median was size 8.
Since the mean shoe size of the sample was size 10 it means the average shoe size of the boys in his grade is 10. Therefore option 1 is correct.
Median shoe size of the sample was size 8, it means about half of the boys in his grade have a shoe size bigger than or equal to size 8, because many students have same shoe size.
So, the statement "about half of the boys in his grade have a shoe size bigger than size 8" is not completely true.
Therefore, the correct option is 1.