Answered

An employee records the number of prescriptions filled at a pharmacy each hour during an 8-hour period. The table shows the results.

Number of Prescriptions Filled at a Pharmacy
\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
\hline Hour & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline \begin{tabular}{c}
Number of \\
Prescriptions
\end{tabular} & 18 & [tex]$?$[/tex] & 22 & 25 & 16 & 24 & 22 & 28 \\
\hline
\end{tabular}

The employee spilled coffee on the table, making the entry for hour 2 unreadable. The employee knows that the mean for the data in the table is 21. How many prescriptions were filled during hour 2?

A. 13
B. 14
C. 20



Answer :

GinnyAnswer
To find out the number of prescriptions filled during hour 2, we follow these steps:

1. Identify the Known Information:
- Total number of hours (data points): [tex]\( 8 \)[/tex]
- Known number of prescriptions for hours: [tex]\[ 18, ?, 22, 25, 16, 24, 22, 28 \][/tex]
- Mean number of prescriptions: [tex]\( 21 \)[/tex]

2. Calculate the Total Prescriptions Target:
The mean is given as 21. The mean formula is:
[tex]\[ \text{mean} = \frac{\text{total number of prescriptions}}{\text{total number of hours}} \][/tex]
We rearrange this to find the total number of prescriptions:
[tex]\[ \text{total number of prescriptions} = \text{mean} \times \text{total number of hours} \][/tex]
Plugging in the values:
[tex]\[ \text{total number of prescriptions} = 21 \times 8 = 168 \][/tex]

3. Sum the Known Numbers of Prescriptions:
Adding the known prescriptions:
[tex]\[ 18 + 22 + 25 + 16 + 24 + 22 + 28 = 155 \][/tex]

4. Calculate the Missing Value:
The missing value (number of prescriptions filled during hour 2) can be found by subtracting the sum of the known prescriptions from the total prescriptions target:
[tex]\[ \text{missing prescriptions} = 168 - 155 = 13 \][/tex]

Therefore, the number of prescriptions filled during hour 2 is:
A. 13

Other Questions