In: Statistics and Probability
2. For each of the following situations, write down
(a) the most appropriate graphical display for the data, and (b) identify a statistic that you might be interested in regarding the data.
(i) [2 marks] A survey given to 400 high school students asked the following question: "How many minutes do you study on a typical weeknight?".
(ii) [2 marks] Students in Statistics classes made up of 360 students were asked the main method of transportation to school. Students answers were: Canada Line/Skytrain, Cycling, Car, Bus, Walk.
(iii) [2 marks] The wait time in minutes before a caller gets to speak to a live agent at a Call Centre is collected for 50 telephone calls.
Solution: (i) [2 marks] A survey given to 400 high school students asked the following question: "How many minutes do you study on a typical weeknight?"
Answer: The histogram would be an appropriate graphical display for the given data and we would like to find the mean for the given data. The reason is that the given data is continuous and there are possibly no outliers in the data.
(ii) [2 marks] Students in Statistics classes made up of 360 students were asked the main method of transportation to school. Students answers were: Canada Line/Skytrain, Cycling, Car, Bus, Walk.
Answer: The bar graph would be an appropriate graphical display for the given data and we would like to find the mode for the given data because the given data is nominal
(iii) [2 marks] The wait time in minutes before a caller gets to speak to a live agent at a Call Centre is collected for 50 telephone calls.
Answer: The histogram would be an appropriate graphical display for the given data and we would like to find the median for the given data. The reason is that the given data is continuous and there are possibly outliers in the data.