Question

In: Statistics and Probability

27 randomly selected students were asked the number of movies they watched the previous week. The...

27 randomly selected students were asked the number of movies they watched the previous week. The results are as follows: # of Movies 0 1 2 3 4 5 6 Frequency 5 2 2 3 7 3 5 Round all your answers to 4 decimal places where possible. The mean is: The median is: The sample standard deviation is: The first quartile is: The third quartile is: What percent of the respondents watched at least 6 movies the previous week? % 45% of all respondents watched fewer than how many movies the previous week?

Solutions

Expert Solution

# of Movies
Mean 3.259259259
Standard Error 0.408571246
Median 4
Mode 4
Standard Deviation 2.122998471
Sample Variance 4.507122507
Kurtosis -1.153886533
Skewness -0.341274818
Range 6
Minimum 0
Maximum 6
Sum 88
Count 27
Largest(1) 6

The mean is:

Mean 3.259

The median is:

Median 4

The sample standard deviation is:

Standard Deviation 2.122998471

The first quartile is:

1.500

The third quartile is:

5.000

What per cent of the respondents watched at least 6 movies the previous week? (5/27*100)=18.51852%

45% of all respondents watched fewer than how many movies the previous week?

> quantile(x, c(.45))
45%
3.7

45% of all respondents watched fewer than 3.7 movies the previous week.


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