The numbers of visitors every hour in a shop from 1 p.m. to 8 p. m. on Monday were recorded as 7, 10, 15, 22, 6, 4 and 13. The arithmetic mean of visitors is:

Options

A. 13
B. 9
C. 10
D. 11

Answer

To find the arithmetic mean of the number of visitors in the shop from 1 p.m. to 8 p.m., we will follow these steps:

### Step 1: List the number of visitors
The number of visitors recorded each hour from 1 p.m. to 8 p.m. is:
- 1 p.m.: 7
- 2 p.m.: 10
- 3 p.m.: 15
- 4 p.m.: 22
- 5 p.m.: 6
- 6 p.m.: 4
- 7 p.m.: 13

### Step 2: Calculate the total number of visitors
Now, we will sum these numbers:
\[ 7 + 10 + 15 + 22 + 6 + 4 + 13 \]

Calculating step by step:
- \( 7 + 10 = 17 \)
- \( 17 + 15 = 32 \)
- \( 32 + 22 = 54 \)
- \( 54 + 6 = 60 \)
- \( 60 + 4 = 64 \)
- \( 64 + 13 = 77 \)

So, the total number of visitors is **77**.

### Step 3: Determine the number of hours
The time period from 1 p.m. to 8 p.m. includes 7 hours (1 p.m. to 2 p.m., 2 p.m. to 3 p.m., 3 p.m. to 4 p.m., 4 p.m. to 5 p.m., 5 p.m. to 6 p.m., 6 p.m. to 7 p.m., and 7 p.m. to 8 p.m.).

### Step 4: Calculate the arithmetic mean
The arithmetic mean is calculated by dividing the total number of visitors by the number of hours:
\[ \text{Arithmetic Mean} = \frac{\text{Total Number of Visitors}}{\text{Number of Hours}} = \frac{77}{7} \]

Calculating the division:
\[ \frac{77}{7} = 11 \]

Thus, the arithmetic mean of visitors is **11**.

### Summary of the Solution
The arithmetic mean of visitors from 1 p.m. to 8 p.m. is **11**.

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