STA104 WEEK 5
7 - 13 NOVEMBER 2022
Kuliah 1: 30 Mac - 24 May 2026
7 - 13 NOVEMBER 2022
CHAPTER 2: DESCRIBING & GRAPHING DATA
Topic: Numerical Methods
GROUPED DATA
Measures of Central Tendency
Measures of Central Position
Measures of Dispersion
First Class:
LEARNING OBJECTIVE 1:Β
Measures of Central Tendency (Mean, Median, Mode)
Students need to know how to calculate mean, median, mode for grouped data using function in scientific calculator.
ππΌ Watch Video V1W5 for example with explanation.
ππΌ Refer Pg.61 (formula and steps to calculate mean, median and mode)
ππΌ Refer Pg.63 (guide how to use scientific calculator)
ππΌ Do Example 24 (No. 1, 2, 3) Pg.64
ππΌ Do Exercise 2(a) Pg.67
Answer:Β
Mean =Β 52.67 (The average Mathematics skill test of students is 56.67 marks)Β Β Β Β Β Β Β
Median = 52.76 (Half of the students score more than 52.76 marks for their Mathematics skill test )
Mode = 53.03 (Most of the students score 53.03 marks for their Mathematics skill test)
Video V1W5: Measures of Central Tendency (Mean, Median, Mode)Β
LEARNING OBJECTIVE 2:
Measures of Dispersion (Variance and Standard Deviation)
Students need to know how to calculate measures of dispersion (standard deviation and variance) for grouped data using function in scientific calculator.
ππΌ Watch Video V2W5 for example with explanation.
ππΌ Watch Video V3W5 Β for more explanation about standard deviation.
ππΌ Refer Pg.62 (formula)
ππΌ Refer Pg.63 (guide how to use scientific calculator)
ππΌ Do Example 24 (No.4) Pg.65
ππΌ Do Exercise 2(b) Pg.67
Answer:Β
Variance = 283.21Β Β Β Β Β Β
Standard Deviation = 16.83Β Β
Video V2W5: Measures of Dispersion (Standard Deviation & Variance)Β
Video V3W5: What is Standard Deviation?
Second Class:
LEARNING OBJECTIVE 3:
Measures of Central Position (First, Second and Third Quartile)
Students need to know how to calculate measures of central position (first, second and third quartiles) and for grouped data.
ππΌ Refer Video 4 above for example with explanation.
ππΌ Refer Pg.72 (formula).
ππΌ Do Example 24 (No.6 & 7) Pg.76.
ππΌ Do Exercise 2(c) Pg.78
Answer:Β
Q1 = 41.12
Q3 = 64.5
Video V4W5: Measures of Central Position (First, Second and Third Quartile)Β
LEARNING OBJECTIVE 4:
Measures of Central Position (First, Second and Third Quartile)
Students need to know how to estimate measures of central position (first, second and third quartiles) using ogive.
ππΌ Watch Video V1W5.
ππΌ Refer Pg.62 (formula and steps to calculate first, second and third quartiles for grouped data)
ππΌ Do Exercise 2(d), (e) Pg.68 --- Estimate all quartiles value, Q1, Q2, Q3 using ogive.
Answer:Β
Q1 = 42.5
Q2 = 51.5
Q3 = 64.5
Minimum score for grade A = 70.5 (find number of top scorer first: 180 - 15% x 180, then find the intersection point from the curve)
Note: You may get different values from mine. It should be no problem, as long as your method is correct and your answer is not too far from mine. Your answer depends on the curve that you drawn too.
Video V5W5: Estimating Quartiles Using OgiveΒ