Statistics 1

In-Class Exercise 3

Yu-You Liou

Shih Chien University

2026-09-16

Data for Questions 1 and 2

The following are the monthly rents (in NT dollars) of 12 studio apartments near campus.

rent <- c(12500, 13800, 11200, 15000, 12500, 26000,
          14300, 13100, 12500, 16700, 14900, 13600)

Question 1

Mean, Median, and Mode

Find the three measures of central tendency of rent.

1. The mean with mean()
2. The median with median()
3. The mode, by counting the values with table() and reading off the most frequent one

Question 2

Choosing a Measure

One apartment rents for NT$26,000, far above the rest.

1. Remove that value and compute the mean and the median again.
2. Which of the two measures changes more?
3. Which measure better describes the typical rent near campus? Explain in one or two sentences.

Question 3

Weighted Mean

A student’s grade in this course is composed of in-class exercises (36%), the midterm exam (32%), and the final exam (32%). The student scored 88, 72, and 80 respectively.

Compute the weighted mean in R using sum(), and report the final grade.