### Sample Data Analysis on TV Personalities' SalariesListed below are the top 10 annual salaries (in millions of dollars) of TV personalities. We aim to calculate the range, variance, and standard deviation for this sample data. With this information, we can speculate on the variation of salaries for TV personalities in general. The salaries are:39, 38, 37, 30, 20, 18, 17, 16, 15.8, 14.51. **Range of the Sample Data:** - The range is the difference between the highest and lowest value within the data set.2. **Variance of the Sample Data:** - Variance measures how far each number in the data set is from the mean and thus from every other number in the set.3. **Standard Deviation of the Sample Data:** - The standard deviation is a measure of the amount of variation or dispersion in a set of values.We are tasked with filling in the following:- The range of the sample data is \$_____ million.- The variance of the sample data is _____ (round to two decimal places).- The standard deviation of the sample data is \$_____ million (round to two decimal places).#### Evaluating the Sample's Representation:**Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general?**- **Option A: No, because the sample is not representative of the whole population.**- **Option B: Yes, because the standard deviation is an unbiased estimator.**- **Option C: No, because there is an outlier in the sample data.**- **Option D: Yes, because the sample is random.**Each option provides a perspective on whether the calculated standard deviation appropriately reflects the general variation in salaries.### Summary:This exercise teaches important statistical concepts such as range, variance, and standard deviation, and encourages critical thinking about data representation and analysis.

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Description: ### Sample Data Analysis on TV Personalities' SalariesListed below are the top 10 annual salaries (in millions of dollars) of TV personalities. We aim to calculate the range, variance, and standard deviation for this sample data. With this informati

From the given set of data: 39, 38, 37, 30, 20, 18, 17, 16, 15.8, 14.5 1. Required range will be…

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Statistics

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 39 38 37 30 20 18 17 16 15.8 14.5 O The range of the sample data is Smillion. (Type an integer or a decimal.) The variance of the sample data is|. (Round to two decimal places as needed.) The standard deviation of the sample data is S million. (Round to two decimal places as needed.) Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general? O A. No, because the sample is not representative of the whole population. O B. Yes, because the standard deviation is an unbiased estimator. O C. No, because there is an outlier in the sample data. O D. Yes, because the sample is random.

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 39 38 37 30 20 18 17 16 15.8 14.5 O The range of the sample data is Smillion. (Type an integer or a decimal.) The variance of the sample data is|. (Round to two decimal places as needed.) The standard deviation of the sample data is S million. (Round to two decimal places as needed.) Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general? O A. No, because the sample is not representative of the whole population. O B. Yes, because the standard deviation is an unbiased estimator. O C. No, because there is an outlier in the sample data. O D. Yes, because the sample is random.

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Author:Amos Gilat

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Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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### Sample Data Analysis on TV Personalities' Salaries

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. We aim to calculate the range, variance, and standard deviation for this sample data. With this information, we can speculate on the variation of salaries for TV personalities in general. The salaries are:

39, 38, 37, 30, 20, 18, 17, 16, 15.8, 14.5

1. **Range of the Sample Data:**
- The range is the difference between the highest and lowest value within the data set.

2. **Variance of the Sample Data:**
- Variance measures how far each number in the data set is from the mean and thus from every other number in the set.

3. **Standard Deviation of the Sample Data:**
- The standard deviation is a measure of the amount of variation or dispersion in a set of values.

We are tasked with filling in the following:
- The range of the sample data is \$_____ million.
- The variance of the sample data is _____ (round to two decimal places).
- The standard deviation of the sample data is \$_____ million (round to two decimal places).

#### Evaluating the Sample's Representation:

**Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general?**

- **Option A: No, because the sample is not representative of the whole population.**
- **Option B: Yes, because the standard deviation is an unbiased estimator.**
- **Option C: No, because there is an outlier in the sample data.**
- **Option D: Yes, because the sample is random.**

Each option provides a perspective on whether the calculated standard deviation appropriately reflects the general variation in salaries.

### Summary:

This exercise teaches important statistical concepts such as range, variance, and standard deviation, and encourages critical thinking about data representation and analysis.

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