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Question
which statements are true about statistics? choose three correct answers.
they include only mean and median.
measures of center and measures of spread are examples of statistics.
they include the mean, median, range, and interquartile range.
they can work only with one set of data.
they help describe sets of data.
Step1: Analyze the first statement
Statistics has two main types: measures of center (like mean, median) and measures of spread (like range, inter - quartile range). So, "Measures of center and measures of spread are examples of statistics" is correct.
Step2: Analyze the second statement
Mean and median are measures of center, range and inter - quartile range are measures of spread. So, "They include the mean, median, range, and interquartile range" is correct.
Step3: Analyze the third statement
The purpose of statistics (both measures of center and spread) is to describe data sets. So, "They help describe sets of data" is correct.
The statement "They include only mean and median" is wrong because there are also measures of spread. The statement "They can work only with one set of data" is wrong as statistics can be used to compare multiple data sets.
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- "Measures of center and measures of spread are examples of statistics."
- "They include the mean, median, range, and interquartile range."
- "They help describe sets of data."