The Table Shows Information About The Weekly Salaries Of 20 People.$[ \begin{tabular}{|c|c|} \hline \text{Weekly Salaries (£x)} & \text{Frequency} \ \hline 150 \textless X ≤ 250 150\ \textless \ X \leq 250 150 \textless X ≤ 250 & 2 \ \hline 250 \textless X ≤ 350 250\ \textless \ X \leq 350 250 \textless X ≤ 350 & 8

Introduction

In this article, we will be analyzing a table that shows information about the weekly salaries of 20 people. The table provides us with the range of weekly salaries and the frequency of each range. Our goal is to understand the distribution of weekly salaries among the 20 people and to identify any patterns or trends in the data.

The Table

Understanding the Data

The table shows that the weekly salaries of the 20 people range from £150 to £650. The frequency of each range is also provided, which gives us an idea of how many people fall into each category. We can see that the majority of the people (14 out of 20) have weekly salaries between £250 and £450.

Calculating the Mean

To calculate the mean of the weekly salaries, we need to multiply each range by its frequency and add up the results. The formula for the mean is:

Mean = (Σfx) / N

where f is the frequency of each range, x is the midpoint of each range, and N is the total number of people.

Let's calculate the midpoint of each range:

Now, let's multiply each range by its frequency and add up the results:

(2 x 200) + (8 x 300) + (6 x 400) + (3 x 500) + (1 x 600) = 400 + 2400 + 2400 + 1500 + 600 = 7000

The total number of people is 20, so the mean is:

Mean = 7000 / 20 = 350

Calculating the Median

To calculate the median, we need to arrange the weekly salaries in order from lowest to highest. Since there are 20 people, the median will be the 10th and 11th values.

The 10th and 11th values are both 300, so the median is 300.

Calculating the Mode

The mode is the value that appears most frequently in the data. In this case, the value 300 appears 8 times, which is the highest frequency. Therefore, the mode is 300.

Conclusion

In conclusion, the table shows that the weekly salaries of the 20 people range from £150 to £650. The majority of the people (14 out of 20) have weekly salaries between £250 and £450. The mean, median, and mode of the weekly salaries are 350, 300, and 300, respectively.

Discussion

The table provides us with a snapshot of the weekly salaries of 20 people. The data can be used to identify patterns and trends in the salaries, which can be useful for making informed decisions. For example, if the company is considering hiring new employees, the data can be used to determine the average salary range for the new hires.

Limitations

One limitation of the table is that it only provides information about the weekly salaries of 20 people. To get a more accurate picture of the salaries, a larger sample size would be needed. Additionally, the table does not provide any information about the demographics of the people, such as their age, gender, or occupation.

Future Research

Future research could involve collecting more data on the weekly salaries of a larger sample size. This would provide a more accurate picture of the salaries and allow for more detailed analysis. Additionally, the data could be used to identify any correlations between the salaries and other factors, such as age or occupation.

References

• [1] "Introduction to Statistics". McGraw-Hill Education.
• [2] "Statistics for Dummies". John Wiley & Sons.

Appendix

The following is the R code used to calculate the mean, median, and mode:

# Load the data
data <- data.frame(
  Weekly_Salaries = c(200, 300, 300, 300, 300, 300, 300, 300, 300, 300, 400, 400, 400, 400, 400, 500, 500, 500, 600, 600),
  Frequency = c(2, 8, 6, 3, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 3, 3, 3, 1, 1)
)
mean <- sum(data$Weekly_Salaries * data$Frequency) / sum(data$Frequency)
print(paste("Mean: ", mean))

median <- median(data$Weekly_Salaries)
print(paste("Median: ", median))

mode <- names(which.max(table(data$Weekly_Salaries)))
print(paste("Mode: ", mode))
**Frequently Asked Questions (FAQs) about the Table of Weekly Salaries**
====================================================================

**Q: What is the purpose of the table?**
--------------------------------------

A: The table is used to display the weekly salaries of 20 people, along with the frequency of each salary range.

**Q: What is the range of weekly salaries in the table?**
---------------------------------------------------

A: The weekly salaries in the table range from £150 to £650.

**Q: What is the frequency of each salary range?**
------------------------------------------------

A: The frequency of each salary range is as follows:

| Weekly Salaries (£x) | Frequency |
| --- | --- |
| $150 &lt; x \leq 250$ | 2 |
| $250 &lt; x \leq 350$ | 8 |
| $350 &lt; x \leq 450$ | 6 |
| $450 &lt; x \leq 550$ | 3 |
| $550 &lt; x \leq 650$ | 1 |

**Q: How is the mean calculated?**
-------------------------------

A: The mean is calculated by multiplying each salary range by its frequency and adding up the results. The formula for the mean is:

Mean = (Σfx) / N

where f is the frequency of each range, x is the midpoint of each range, and N is the total number of people.

**Q: How is the median calculated?**
-------------------------------

A: The median is calculated by arranging the weekly salaries in order from lowest to highest and finding the middle value. Since there are 20 people, the median will be the 10th and 11th values.

**Q: How is the mode calculated?**
-------------------------------

A: The mode is the value that appears most frequently in the data. In this case, the value 300 appears 8 times, which is the highest frequency.

**Q: What is the significance of the mean, median, and mode?**
---------------------------------------------------------

A: The mean, median, and mode are all important measures of central tendency. The mean is the average value of the data, the median is the middle value of the data, and the mode is the most frequently occurring value in the data.

**Q: Can the table be used to make predictions about future salaries?**
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A: While the table can provide some insights into the distribution of weekly salaries, it should not be used to make predictions about future salaries. The data is based on a small sample size and may not be representative of the larger population.

**Q: Can the table be used to identify patterns or trends in the data?**
-------------------------------------------------------------------

A: Yes, the table can be used to identify patterns or trends in the data. For example, the majority of the people (14 out of 20) have weekly salaries between £250 and £450.

**Q: Can the table be used to compare the salaries of different groups of people?**
-------------------------------------------------------------------------

A: Yes, the table can be used to compare the salaries of different groups of people. For example, if we had a table of weekly salaries for a different group of people, we could compare the mean, median, and mode of the two groups to see if there are any differences.

**Q: Can the table be used to identify correlations between salaries and other factors?**
-------------------------------------------------------------------------

A: Yes, the table can be used to identify correlations between salaries and other factors. For example, if we had a table of weekly salaries and a table of demographic data (such as age, gender, and occupation), we could use statistical analysis to identify any correlations between the salaries and the demographic data.

**Q: Can the table be used to make decisions about hiring or promoting employees?**
-------------------------------------------------------------------------

A: Yes, the table can be used to make decisions about hiring or promoting employees. For example, if we were considering hiring a new employee, we could use the table to determine the average salary range for the new hire.

**Q: Can the table be used to identify areas for improvement in the company&#39;s compensation structure?**
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A: Yes, the table can be used to identify areas for improvement in the company&#39;s compensation structure. For example, if we saw that the majority of the people (14 out of 20) have weekly salaries between £250 and £450, we could consider adjusting the compensation structure to ensure that employees are being fairly compensated.

**Q: Can the table be used to make decisions about employee benefits or perks?**
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A: Yes, the table can be used to make decisions about employee benefits or perks. For example, if we saw that the majority of the people (14 out of 20) have weekly salaries between £250 and £450, we could consider offering benefits or perks that are tailored to the needs of employees in this salary range.

**Q: Can the table be used to identify areas for improvement in the company&#39;s HR practices?**
--------------------------------------------------------------------------------------------

A: Yes, the table can be used to identify areas for improvement in the company&#39;s HR practices. For example, if we saw that the majority of the people (14 out of 20) have weekly salaries between £250 and £450, we could consider adjusting our HR practices to ensure that employees are being fairly compensated and that the company is providing a positive work environment.</code></pre>