What should she do with the outlier, 122 centimeters, when she analyzes her data?
[size=150]Here are some summary statistics for the data that Mai gathered:[br][/size][br][table][tr][td]mean: 8.5 hours[/td][td][/td][td]standard deviation: 5.3 hours[/td][td] [/td][td] [/td][td] [/td][td][/td][td] [/td][td] [/td][td] [/td][/tr][tr][td]median: 7 hours[/td][td]Q1: 5 hours[/td][td]Q3: 11 hours[/td][td] [/td][td] [/td][td] [/td][td] [/td][td][/td][td][/td][td] [/td][/tr][/table][br]Give an example of a number of hours larger than the median which would be an outlier. Explain your reasoning.[br]
Are there any outliers below the median? Explain your reasoning.[br]
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[/img][br]Are there any outliers? Explain how you know.
[size=150]The mean exam score for the second group of twenty examinees is 34.1 with a standard deviation of 0.5. Both distributions are close to symmetric in shape.[br][/size][br]Use the mean and standard deviation to compare the scores of the two groups.
The minimum score required to get an in-person interview is 33. Which group do you think has more people get in-person interviews?
Interpret the mean and standard deviation in terms of the context.
[size=150]0, 0, 0, 1, 1, 1, 2, 2, 3, 5[/size][br][br]What are the mean and standard deviation of the data?[br]
The artist is not pleased with these statistics. If the 5 is increased to a larger value, how does this impact the median, mean, and standard deviation? [br]