The following histogram represents a data set with a mean of 32 and a standard d

Question

The following histogram represents a data set with a mean of 32 and a standard deviation of 2.5. Is it appropriate to use the Empirical Rule to approximate the proportion of the data between 27 and 37? If so, find the approximation. If not, explain. Is it possible for the sample standard deviation of a list of numbers to equal O? If so, give an example. If not, explain. A group of people were surveyed for how many movies they saw in a month. The table shows the results of the survey. How many people took the survey? Calculate the total number of movies seen in a month by Seen in a all the survey takers Calculate the average number of movies seen in a month per person surveyed. What type of variable is "Movies Seen in a Month" Quantitative Quantitative, Discrete Quantitative, Continuous What is the level of measurement of "Movies Seen in a Month" Nominal Ordinal Interval Ratio

Explanation / Answer

3) Yes we can approximate it through emprical rule as distribution is approximately normal.

as 27 and 37 are 2 std deviation away from mean, hence from empirical rule 99.45% of data will fall b/w them

4)std deviation is 0 in case where all the sample values are same. hence there is no variation.

example: like number of hours in a day= 24, as all day contain 24 hours, hence the std deviation will be 0 for hours in random days.

5)

a) total number of people in survey =39

b) total number of movies seen =107

c) average number of movies per person =107/39 =2.7436

d) it is quantitative and discrete.

e) it is ratio , as 0 has significant meaning in this

movies seen in a month(x) number of people(frequency(f(x))) xf(x) 0 4 0 1 3 3 2 10 20 3 7 21 4 12 48 5 3 15 total 39 107

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