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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
Measures of center (like mean, median) and measures of spread (like range, inter - quartile range) are fundamental concepts in statistics. So, "Measures of center and measures of spread are examples of statistics" is correct.
Step2: Analyze the second statement
Measures of center (mean, median) and measures of spread (range, inter - quartile range) are all included in the set of statistical measures. So, "They include the mean, median, range, and interquartile range" is correct.
Step3: Analyze the third statement
Statistics (including measures of center and spread) are used to describe data sets. So, "They help describe sets of data" is correct.
The statement "They include only mean and median" is wrong as it ignores measures of spread. The statement "They can work only with one set of data" is incorrect because statistical measures (like comparing means of two different data sets) can work with 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.