Question

An employee spilled coffee making the entry for hour 2 unreadable. The employee knows the mean for the data in the table is 21 how many prescriptions were filled during hour two

Answer 1

13

Explanation:

We have been given that mean = 21 and total number of hours = 8

Let the number of prescriptions filled during hour two be x

`Mean = \frac{Sum\hspace{3}of\hspace{3}all\hspace{3}the\hspace{3}number\hspace{3}of \hspace{3}prescriptions}{Total\hspace{3}number\hspace{3}of\hspace{3}hours}`

`21 = (18+x+22+25+16+24+22+28)/(8)`

`21 = (155+x)/(8)`

Multiply both sides by 8

`21 * 8= (155+x)/(8)*8`

Cancel out the 8's on the top and bottom of the right side

`168= 155+x`

Subtract 155 from both side

168-155=155+x-155

Cancel out +155 and -155 from the right side

13 = x

Flip the sides

x = 13

So, the number of prescriptions filled during hour two = 13