STA108 WEEK 4

LEARNING OBJECTIVE 1:

Measures of Central Tendency (Mean, Median, Mode)

Students need to know how to calculate mean, median, mode for ungrouped data using function in scientific calculator.

👉🏼 Refer Video 1 above.

👉🏼 Refer Pg.55 (formula and steps to calculate mean, median and mode)

👉🏼 Refer Pg.62 - 63 (steps how to use scientific calculator)

👉🏼 Do Example Pg.64 (as explained in the video)

👉🏼 Do Example 21 Pg.56

👉🏼 Do Exercise 1(a) Pg.67

       Answer:  

       Mean = 224.8 (The average weekly sales of the company is RM 224 800)        

       Median = 223 (Half of the weekly sales of the company is more than RM223 000)

       Mode = 222 (Most of the weekly sales of the company is RM222 000)

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 ungrouped data using function in scientific calculator.

👉🏼 Refer Video 2 above.

👉🏼 Refer Pg.57 (formula).

👉🏼 Refer Pg.62 - 63 (steps how to use scientific calculator).

👉🏼 Do Example 22 Pg.57

       Answer:  

       Variance = 7015.4667          

       Standard Deviation = 83.7584

👉🏼 Do Exercise 1(b) Pg.68

        Answer:  

       Variance = 24.8444        

       Standard Deviation = 4.9844 

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 ungrouped data.

👉🏼 Refer Video 3 above.

👉🏼 Refer Pg.60 (formula and steps to calculate first, second and third quartiles).

👉🏼 Do Example 23 Pg.61 

       Answer:  

       Q1 = 27.75  

       Q2 = 36     

       Q3 = 40.75

       IQR = 13

       QD = 6.5

👉🏼 Do Exercise 1(d), (e) Pg.68

        Answer:  

       Q1 = 222 (75% of weekly sales of the company is more than RM 222 000)        

       Q3 = 228 (25% of weekly sales of the company is more than RM 228 000)

       IQR = 6

       QD = 3