- 16 Marks
Question
b) Use the sample data below to answer the following questions:
Required:
i) Calculate the sample mean, variance, and standard deviation for X. (5 marks)
ii) Calculate the sample mean, variance, and standard deviation for . (5 marks)
iii) Calculate the sample covariance between X and Y. (3 marks)
iv) Calculate the sample correlation between X and . (3 marks)
Answer
b)
i) For XX:
- Sample mean:
- Sample variance:
- Sample standard deviation:
ii) For YY:
- Sample mean:
- Sample variance:
- Sample standard deviation:
iii) Sample covariance between X and Y
Cov (X, Y) = 
= 56.8
iv) Sample correlation between X and Y:
rXY = 
= 0.81
- Tags: Correlation, Covariance, Sample Mean, Standard Deviation, Variance
- Level: Level 1
- Topic: Data Collection, Measures of Central Tendency
- Series: MAY 2016
- Uploader: Kwame Aikins