This document discusses different measures of central tendency including the mean, median, mode, and trimmed mean. It provides examples to calculate each of these from sets of student quiz scores and grades. It also shows how to calculate a weighted average or overall rating when scores are given for multiple criteria with different weights. Specifically, it demonstrates calculating a student's general weighted average and an essay's overall rating from a professor's scores across several evaluation criteria.

1. Measure of Central Tendency
Arithmetic Average (Mean), Trimmed
Mean, Mode, Median, Weighted
Mean, Mean Grouped Data, Quiz

2. Measure of Central Tendency

4. Trimmed Mean – the mean of a data set when extreme values are
removed from the computation

15. Quiz
A. Consider the results of 7 quizzes of a student.
95, 95, 83, 90, 87, 70, 95
1. What is the mean?
2. What is the median?
3. What is the mode?
4. If you are tasked to produce a “trimmed”
mean, what is its value?

16. Quiz
B. Bernard Quiros received his grades at the end
of second semester. The data below shows
his subjects, units and grade. Compute his
general weighted average (GWA) (Round off
answer to three decimal digits)
Subject Units Grade
Philosophy 1 3 1.25
College Physics 1 4 2.25
Math 1 3 1.75
Math 2 Plane Trigo 4 1.75

17. C. An Essay composition contest has four criteria
for evaluation:
Coherence ( 30%)
Grammar (10 %),
Development of the theme (50%),
Word count (280 – 300 words) (10%).

18. Judges can score an essay on each of the criteria
from 1 to 3.
3 – excellent
2 – average
1 – poor

19. Prof. Vizco gave Essay Alpha the following
scores.
Coherence – 2
Grammar – 3
Development of the Theme – 3
Word count - 2

20. What is the over-all rating of Essay Alpha from
Prof. Vizco’s scorecard?
END

21. A. (70+83+87+95+95+95)/6 = 87.5
B. (87+95)/2=91
C. 95
D. 91
Subject Units Grade wx
Philosophy 1 3 1.25 3.75
College Physics 1 4 2.25 9
Math 1 3 1.75 5.25
Math 2 Plane
Trigo
4 1.75 7
Total 14 25
GWA = 25/14=1.786

22. Criteria Weight (%) Score wx
Coherence 30 2 60
Grammar 10 3 30
Development of
Theme
50 3 150
Word Count 10 2 20
Total 100 260
Over-all Score from Prof Vizco’s score card
260/100 =2.60