Illustrative Math - Algebra 1 - Unit 1- Lesson 16

Here are the statistics for the high temperatures in a city during October:mean of 65.3 degrees Fahrenheitmedian of 63.5 degrees Fahrenheitstandard deviation of 9.3 degrees FahrenheitIQR of 7.1 degeres FahrenheitRecall that the temperature C, measured in degrees Celsius, is related to the temperature F, measured in degrees Fahrenheit, by C=\frac{5}{9}(F-32).Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.

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Here are the statistics for the high temperatures in a city during October:mean of 65.3 degrees Fahrenheitmedian of 63.5 degrees Fahrenheitstandard deviation of 9.3 degrees FahrenheitIQR of 7.1 degeres FahrenheitRecall that the temperature C, measured in degrees Celsius, is related to the temperature F, measured in degrees Fahrenheit, by C=\frac{5}{9}(F-32).Describe how the value of each statistic further changes when the new values are multiplied by \frac{5}{9}.

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Here are the statistics for the high temperatures in a city during October:mean of 65.3 degrees Fahrenheitmedian of 63.5 degrees Fahrenheitstandard deviation of 9.3 degrees FahrenheitIQR of 7.1 degeres FahrenheitRecall that the temperature C, measured in degrees Celsius, is related to the temperature F, measured in degrees Fahrenheit, by C=\frac{5}{9}(F-32).Describe how to find the value of each statistic when the temperature is measured in degrees Celsius.

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The data set represents the number of hours that fifteen students walked during a two-week period.6, 6, 7, 8, 8, 8, 9, 10, 10, 12, 13, 14, 15, 16, 30The median is 10 hours, Q1 is 8, Q3 is 14, and the IQR is 6 hours. Are there any outliers in the data?

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Here are some summary statistics about the number of accounts that follow some bands on social media.mean: 15,976 followersmedian: 16,432 followersstandard deviation: 3,279 followersQ1: 13,796Q3: 19,070IQR: 5,274 followersGive an example of a number of followers that a very popular band might have that would be considered an outlier for this data. Explain or show your reasoning.

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Here are some summary statistics about the number of accounts that follow some bands on social media.mean: 15,976 followersmedian: 16,432 followersstandard deviation: 3,279 followersQ1: 13,796Q3: 19,070IQR: 5,274 followersGive an example of a number of followers that a relatively unknown band might have that would be considered an outlier for this data. Explain or show your reasoning.

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The box plot represents the distribution of the amount of change, in cents, that 50 people were carrying when surveyed. The box plot represents the distribution of the same data set, but with the maximum, 203, removed. The median is 25 cents for both plots. After examining the data, the value 203 is removed since it was an error in recording.Explain why the median remains the same when 203 cents was removed from the data set.

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The box plot represents the distribution of the amount of change, in cents, that 50 people were carrying when surveyed. The box plot represents the distribution of the same data set, but with the maximum, 203, removed. The median is 25 cents for both plots. After examining the data, the value 203 is removed since it was an error in recording.When 203 cents is removed from the data set, does the mean remain the same? Explain your reasoning.

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