Answered

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
D. 22



Answer :

GinnyAnswer
To determine how many prescriptions were filled during hour 2, we are given that the mean (average) number of prescriptions filled over 8 hours is 21. Here's a detailed, step-by-step solution to find the missing value:

1. Understand the Given Data:
- Mean of prescriptions filled over 8 hours = 21
- Number of prescriptions filled in 7 of those hours: 18, \(?\) (unknown), 22, 25, 16, 24, 22, 28

2. Calculate the Total Sum of Prescriptions:
Since the mean of the prescriptions filled is 21 over 8 hours, we can calculate the total sum of prescriptions filled by multiplying the mean by the number of hours:
[tex]\[ \text{Total Sum} = \text{Mean} \times \text{Number of Hours} = 21 \times 8 = 168 \][/tex]

3. Sum of Known Values:
Next, we need to sum the known number of prescriptions filled during the 7 hours that we have data for:
[tex]\[ 18 + 22 + 25 + 16 + 24 + 22 + 28 = 155 \][/tex]

4. Find the Missing Value:
To find the missing value (number of prescriptions filled during hour 2), we subtract the sum of the known values from the total sum:
[tex]\[ \text{Missing Value} = \text{Total Sum} - \text{Sum of Known Values} = 168 - 155 = 13 \][/tex]

Therefore, the number of prescriptions filled during hour 2 is \( 13 \).

Hence, the correct answer is:
A. 13

Other Questions