## Questions and Answers

Which of the following best describes the term 'statistics'?

The science of collecting, organizing, analyzing, and interpreting numerical data

When organizing data in a frequency table, what does each entry represent?

The frequency of occurrence of each data value

What type of data is 'temperature in degrees Celsius'?

Quantitative

If the median of a data set is 20 and the mode is 25, what could be the value of the mean?

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Which measure of central tendency is affected the most by outliers?

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What is the median of the following data set: 10, 15, 20, 25, 30?

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In a box plot, which part of the box represents the median?

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What does a histogram represent?

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Which measure of central tendency is the most representative of the 'average'?

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## Study Notes

### Statistics and Data

- Statistics is the science of collecting, organizing, analyzing, and interpreting numerical data.
- When organizing data in a frequency table, each entry represents the frequency of occurrence of each data value.

### Types of Data

- Temperature in degrees Celsius is an example of quantitative data.
- Quantitative data can be numerical and have numerical values.

### Measures of Central Tendency

- The mean is affected the most by outliers.
- The median is the middle value in a data set when it is arranged in order.
- The mode is the value that appears most frequently in a data set.
- The mean is the most representative of the "average" of a data set.

### Data Analysis

- A histogram represents continuous data.
- A box plot represents the five-number summary of a data set: minimum, first quartile, median, third quartile, and maximum.
- In a box plot, the middle line represents the median.
- If a data set has two modes, its frequency distribution likely has a bimodal shape.

### Data Interpretation

- The median of a data set is 20 if the middle value is 20 when the data set is arranged in order.
- The median of a data set can be found by arranging the data in order and selecting the middle value.
- If the median of a data set is 20 and the mode is 25, the mean can be any value between 20 and 25.

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## Description

Test your knowledge of basic statistics concepts with this quiz. Questions cover topics such as the definition of statistics, organizing data in frequency tables, and types of data. Choose the correct answers and see how well you understand these fundamental statistical principles.