Question

answer the questions below.
(a) the following number of people attended the last 9 screenings of a movie 117, 195, 158, 202, 204, 206, 207, 208, 211. which measure should be used to summarize the data? mean median mode
(b) in a survey, 8 people reported how many soft drinks they drank in the last month. here are their responses: 29, 31, 32, 31, 34, 35, 36, 37, 38. which measure should be used to summarize the data? mean median mode
(c) in a survey, a soft drink company asks people to name as many brands of soft drinks as they can. which measure gives the most frequently - mentioned brand? mean median mode

Explanation:

• (a) The data set \(117,195,198,202,204,206,207,208,211\) has no extreme outliers. The mean is a good measure when the data is relatively symmetric and there are no extreme values that would skew it.
• (b) The data set \(29,31,32,33,34,35,36,37,38\) is symmetric. The mean is appropriate for symmetric data sets.
• (c) When we want to find the most frequently - mentioned brand (which is a non - numerical, categorical data in a sense of counting frequencies), the mode is the measure of central tendency that represents the most frequently occurring value.

Answer:

(a) Mean
(b) Mean
(c) Mode