Answer the questions below.(a) The following number of people attended the last 9 screenings of a movie: 195, 199, 200, 201, 205, 206, 208, 209, 294.Which measure should be used to summarize the data?MeanMedianMode(b) At a certain company, the 9 employees have the following weekly salaries: $800, $810, $820, $830, $840, $850, $890, $930, $950.Which measure should be used to summarize the data?MeanMedianMode(c) Deshaun wants to determine which letter appears the most often in his favorite poem.Which measure should he use?MeanMedianMode
Question
Answer the questions below.(a) The following number of people attended the last 9 screenings of a movie: 195, 199, 200, 201, 205, 206, 208, 209, 294.Which measure should be used to summarize the data?MeanMedianMode(b) At a certain company, the 9 employees have the following weekly salaries: 810, 830, 850, 930, $950.Which measure should be used to summarize the data?MeanMedianMode(c) Deshaun wants to determine which letter appears the most often in his favorite poem.Which measure should he use?MeanMedianMode
Solution
(a) The best measure to summarize the data for the number of people attending the last 9 screenings of a movie would be the Median. This is because the data contains an outlier (294), which can significantly affect the Mean. The Median is not affected by outliers.
(b) The best measure to summarize the data for the weekly salaries of the 9 employees at a certain company would be the Mean. This is because the data does not contain any outliers and is evenly distributed.
(c) Deshaun should use the Mode to determine which letter appears the most often in his favorite poem. The Mode is the most frequently occurring value in a data set, so it would show which letter appears most often.
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