Question

Question 4) nhtemp is a built-in R dataset. The nhtemp data frame is a time series which gives the mean annual temperature in New Haven, Connecticut, from 1912 to 1970. Thus, there are 60 measurements. We are interested in some descriptive statistics related to nhtemp. We can access the data directly by using the assignment x <- nhtemp (In R use ?nhtemp for info on this dataset.)
The values of nhtemp or x if defined as above are:
[1] 49.9 52.3 49.4 51.1 49.4 47.9 49.8 50.9 49.3 51.9 50.8 49.6 49.3 50.6 48.4 50.7
[17] 50.9 50.6 51.5 52.8 51.8 51.1 49.8 50.2 50.4 51.6 51.8 50.9 48.8 51.7 51.0 50.6
[33] 51.7 51.5 52.1 51.3 51.0 54.0 51.4 52.7 53.1 54.6 52.0 52.0 50.9 52.6 50.2 52.6
[49] 51.6 51.9 50.5 50.9 51.7 51.4 51.7 50.8 51.9 51.8 51.9 53.0


It is highly recommended that you get your values for x from the assignment defined above above and not from copying the above printout of the data.


a.Calculate the sample median of x.
b. How many outliers does an R boxplot of x show?
c. Calculate the interquartile range of x using R.
d. Calculate the sample mean of x.
e. Calculate a 10% trimmed mean for x.
f. Calculate the sample variance of x.
g. Calculate the sample standard deviation of x.
h. What proportion of the x values are more than 1 sample standard deviation away from the sample mean
i. Calculate the range of x. (one number)
j. What number do you get if you sum the values in x?
Add any comments below.

Answer 1

Answer : First image is code and the second image is compiled result