We appreciate your visit to 6 The owner of a barbershop recorded the number of customers received during four weeks He got the following results in two tables Table 1. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's go through the problem step-by-step to understand the calculations involved.
### a) Represent [tex]\( T_1 \)[/tex] by a bar graph and find the total frequency.
The bar graph would show the number of customers for each day of the week as provided in Table [tex]\( T_1 \)[/tex]:
- Monday: 30 customers
- Tuesday: 20 customers
- Wednesday: 40 customers
- Thursday: 50 customers
- Friday: 60 customers
- Saturday: 100 customers
Total Frequency:
To find the total frequency, which is the total number of customers during the week, we add these up:
[tex]\[ 30 + 20 + 40 + 50 + 60 + 100 = 300 \][/tex]
The total frequency is 300 customers.
### b) Represent [tex]\( T_1 \)[/tex] by a circle graph in %.
For a circle graph (or pie chart), we convert the number of customers each day into a percentage of the total.
- Monday: [tex]\((30/300) \times 100\% = 10\%\)[/tex]
- Tuesday: [tex]\((20/300) \times 100\% \approx 6.67\%\)[/tex]
- Wednesday: [tex]\((40/300) \times 100\% \approx 13.33\%\)[/tex]
- Thursday: [tex]\((50/300) \times 100\% \approx 16.67\%\)[/tex]
- Friday: [tex]\((60/300) \times 100\% = 20\%\)[/tex]
- Saturday: [tex]\((100/300) \times 100\% \approx 33.33\%\)[/tex]
### c) What was the number of working days? Find [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
Without additional information, we cannot specifically calculate [tex]\( x \)[/tex] and [tex]\( y \)[/tex] with the given data. A typical approach involves solving the equation based on known totals, but it requires additional known values for each category that are missing here.
### d) What is the mode of this data set?
The mode is the number that appears most frequently. In [tex]\( T_1 \)[/tex], the number 100 (Saturday's customers) appears once but is the highest and distinct from the others, so the mode is:
Mode: 100 customers
### e) Determine the mean and the median.
Mean:
The mean is the total divided by the number of entries:
[tex]\[ \text{Mean} = \frac{300}{6} = 50 \][/tex]
Median:
To find the median, we order the numbers: 20, 30, 40, 50, 60, 100. With 6 numbers, the median will be the average of the 3rd and 4th numbers:
[tex]\[ \text{Median} = \frac{40 + 50}{2} = 45 \][/tex]
### f) Calculate the standard deviation.
The standard deviation measures the amount of variation from the average. Given the results:
Standard Deviation: Approximately 25.82
These steps detailed how you can understand the key statistics of the dataset in [tex]\( T_1 \)[/tex], calculating total frequency, mode, mean, median, and standard deviation successfully!
### a) Represent [tex]\( T_1 \)[/tex] by a bar graph and find the total frequency.
The bar graph would show the number of customers for each day of the week as provided in Table [tex]\( T_1 \)[/tex]:
- Monday: 30 customers
- Tuesday: 20 customers
- Wednesday: 40 customers
- Thursday: 50 customers
- Friday: 60 customers
- Saturday: 100 customers
Total Frequency:
To find the total frequency, which is the total number of customers during the week, we add these up:
[tex]\[ 30 + 20 + 40 + 50 + 60 + 100 = 300 \][/tex]
The total frequency is 300 customers.
### b) Represent [tex]\( T_1 \)[/tex] by a circle graph in %.
For a circle graph (or pie chart), we convert the number of customers each day into a percentage of the total.
- Monday: [tex]\((30/300) \times 100\% = 10\%\)[/tex]
- Tuesday: [tex]\((20/300) \times 100\% \approx 6.67\%\)[/tex]
- Wednesday: [tex]\((40/300) \times 100\% \approx 13.33\%\)[/tex]
- Thursday: [tex]\((50/300) \times 100\% \approx 16.67\%\)[/tex]
- Friday: [tex]\((60/300) \times 100\% = 20\%\)[/tex]
- Saturday: [tex]\((100/300) \times 100\% \approx 33.33\%\)[/tex]
### c) What was the number of working days? Find [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
Without additional information, we cannot specifically calculate [tex]\( x \)[/tex] and [tex]\( y \)[/tex] with the given data. A typical approach involves solving the equation based on known totals, but it requires additional known values for each category that are missing here.
### d) What is the mode of this data set?
The mode is the number that appears most frequently. In [tex]\( T_1 \)[/tex], the number 100 (Saturday's customers) appears once but is the highest and distinct from the others, so the mode is:
Mode: 100 customers
### e) Determine the mean and the median.
Mean:
The mean is the total divided by the number of entries:
[tex]\[ \text{Mean} = \frac{300}{6} = 50 \][/tex]
Median:
To find the median, we order the numbers: 20, 30, 40, 50, 60, 100. With 6 numbers, the median will be the average of the 3rd and 4th numbers:
[tex]\[ \text{Median} = \frac{40 + 50}{2} = 45 \][/tex]
### f) Calculate the standard deviation.
The standard deviation measures the amount of variation from the average. Given the results:
Standard Deviation: Approximately 25.82
These steps detailed how you can understand the key statistics of the dataset in [tex]\( T_1 \)[/tex], calculating total frequency, mode, mean, median, and standard deviation successfully!
Thanks for taking the time to read 6 The owner of a barbershop recorded the number of customers received during four weeks He got the following results in two tables Table 1. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
