In: Statistics and Probability
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?
| # 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.