A stream.massey.ac.nzS https://s..Question 2 [2 + 1+ 3 = 6 marks]Six high school students and six university students were asked:'How many movies have you seen this month?'Here are their responses.High school students: 5, 1, 2, 5, 3, 8University students: 4, 2, 0, 2, 3, 1a) Calculate the mean and standard deviation of each of these data sets.b) Explain, when comparing data sets, what the standard deviation values tell will you. ?c) Suppose we add 2 to each of the numbers in the high school data. That modificationproduces the following data: 7, 3, 4, 7, 5, 10.i) Find the mean and the standard deviation of the modified data.ii) Compare your answers from (i) with the mean and standard deviation from the originalhigh school data in part (a) and answer the following.How did adding 2 to each data value change the mean?How did it change the standard deviation?iii) Without doing the calculations, determine what will happen to the mean and standarddeviation of the university data if we add 10 to each data value.Question 3 [1 + 1 + 2 + 2 +1 = 7 marks]Professor Pascal has 184 students in his college mathematics lecture class. The scores on the firsttest have approximately a normally distribution with a mean percent of 72.3 and a standarddeviation of 8.9.a) Draw the distribution clearly labelling the mean and 3 standard deviations each side of themean.b) It is very likely that the students in the class are expected to receive a score between whattwo values?c) What percentage of students in the class can be expected to receive a score between 81.2and 90.17d) How many of the students would be expected to score above 99?e) The professor tells his students that 97.5% of them should have a score better than x. Findthe largest value he could give for x.%3

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Accepted Answer

The objective is to find mean and SD of each data set.

Six high school students and six university students were asked: 'How many movies have you seen this month?