The value 51 summarizes A) the mean of the bagels.
Step-by-step explanation:
Step 1:
There are 7 sample values for muffins and bagels.
To take the mean of a given set of numbers we add all the terms and then divide the sum by the number of terms that were added.
The range of a function represents all the possible numbers in that set. The range cannot be represented by a single number so the answer cannot be option C or option D.
Step 2:
The mean of the muffins = [tex]\frac{(61+30+32+58+62+61+56)}{7} = \frac{350}{7} =50.[/tex]
The mean of the bagels = [tex]\frac{34+45+43+42+46+72+75}{7}=\frac{357}{7} =51.[/tex]
So by calculating the means of the two sets of values, we have the number 51 represents the mean of bagels which is option A.