Question

A bakery recorded the number of muffins and bagels it sold for a seven day period. For the data presented, what does the value of 51 summarize?

A) mean of bagels

B) mean of muffins

C) range of bagels

D)range of muffins

Answer 1

Mean of bagels

Explanation:

mean of bagels

Muffins = 61 + 20 + 32 + 58 + 62 + 61 + 56 = 350

Mean = 50

Range = 42

Bagels = 34 + 45 + 43 + 42 + 46 + 72 + 75 = 357

Mean = 51

Range = 41

Answer 2

The value 51 summarizes A) the mean of the bagels.

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 =
`((61+30+32+58+62+61+56))/(7) = (350)/(7) =50.`

The mean of the bagels =
`(34+45+43+42+46+72+75)/(7)=(357)/(7) =51.`

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.