Questions: The data to the right represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 8 5 7 10 7 6 5 12 9 6 8 5 8 7 10 9 11 8 3 8 7 6 10 13 13 10 7 9 7 8 10 9 10 7 8 4 9 10 6 A. The data are discrete because it was recorded for 40 consecutive Saturdays. B. The data are continuous because it was recorded for 40 consecutive Saturdays. C. The data are discrete because there are a finite or countable number of values. D. The data are continuous because there are a finite or countable number of values. (b) Construct a frequency distribution of the data. Number of Frequency Customers 1-3 4-6 7-9 10-12 13-15

The data to the right represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 8 5 7 10 7 6 5 12 9 6 8 5 8 7 10 9 11 8 3 8 7 6 10 13 13 10 7 9 7 8 10 9 10 7 8 4 9 10 6 A. The data are discrete because it was recorded for 40 consecutive Saturdays. B. The data are continuous because it was recorded for 40 consecutive Saturdays. C. The data are discrete because there are a finite or countable number of values. D. The data are continuous because there are a finite or countable number of values. (b) Construct a frequency distribution of the data. Number of Frequency Customers 1-3 4-6 7-9 10-12 13-15
Transcript text: The data to the right represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through $(h)$ below. \begin{tabular}{rrrrrrrr} 8 & 8 & 5 & 7 & 10 & 7 & 6 & 5 \\ \hline 12 & 9 & 6 & 8 & 5 & 8 & 7 & 10 \\ \hline 9 & 11 & 8 & 3 & 8 & 7 & 6 & 10 \\ \hline 13 & 13 & 10 & 7 & 9 & 7 & 8 & 10 \\ \hline 9 & 10 & 7 & 8 & 4 & 9 & 10 & 6 \end{tabular} A. The data are discrete because it was recorded for 40 consecutive Saturdays. B. The data are continuous because it was recorded for 40 consecutive Saturdays. C. The data are discrete because there are a finite or countable number of values. D. The data are continuous because there are a finite or countable number of values. (b) Construct a frequency distribution of the data. \[ \begin{array}{l} \text { Number of Frequency } \\ \text { Customers } \\ \text { 1-3 } \\ \text { 4-6 } \\ \text { 7-9 } \\ \text { 10-12 } \\ \text { 13-15 } \end{array} \]
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Solution

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Solution Steps

Step 1: Determine the Nature of the Data

The data represents the number of customers waiting for a table at Bobak's Restaurant, which is a countable quantity. Therefore, the data is classified as discrete.

The conclusion is: \[ \text{The data are discrete because there are a finite or countable number of values.} \]

Step 2: Construct the Frequency Distribution

The frequency distribution of the number of customers is as follows:

\[ \begin{array}{|c|c|} \hline \text{Number of Customers} & \text{Frequency} \\ \hline 1-3 & 1 \\ 4-6 & 8 \\ 7-9 & 20 \\ 10-12 & 9 \\ 13-15 & 2 \\ \hline \end{array} \]

Step 3: Calculate the Mean

The mean \( \mu \) of the data is calculated using the formula:

\[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{323}{40} = 8.07 \]

Thus, the mean of the data is: \[ \mu = 8.07 \]

Final Answer

  • The data is discrete.
  • The frequency distribution is provided above.
  • The mean of the data is \( \mu = 8.07 \).

\[ \boxed{\text{The data are discrete.}} \] \[ \boxed{\text{Frequency Distribution:}} \] \[ \begin{array}{|c|c|} \hline \text{Number of Customers} & \text{Frequency} \\ \hline 1-3 & 1 \\ 4-6 & 8 \\ 7-9 & 20 \\ 10-12 & 9 \\ 13-15 & 2 \\ \hline \end{array} \] \[ \boxed{\mu = 8.07} \]

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