A student kept track of the number of hours she studied each day for a 2-week period. The following daily scores were recorded (scores are in hours): 2.5, 3.2, 3.8, 1.3, 1.4, 0, 0, 2.6, 5.2, 4.8, 0, 4.6, 2.8, 3.3. Treat the data as sample data. Calculate the following. Attach R code.

(a) The mean number of hours studied per day

(b) The median number of hours studied per day

(c) The modal number of hours studied per day

(d) The range of the number of hours studied per day

(e) The interquartile range of the number of hours studied per day (f) The standard deviation of the number of hours studied per day

Suppose the midterm grades for 10 students are the following: 70, 65, 75, 80, 63, 90, 71, 75, 93, 83. Using R, show what happens to the variance of the grades if each of the following happens. Attach R code.

(a) The teacher added 5 marks to everyone's grades.

(b) The teacher subtracted 5 marks from everyone's grades.

(c) The teacher multiplied everyone's grades by 5.

(d) The teacher divided everyone's grades by 5.