Asked by Satveer Sidhu on Jun 03, 2024
Verified
The following data represent scores on a 15 point aptitude test: 8, 10, 15, 12, 14, and 13.
a. Complete the sample mean for the original data.
______________
Subtract 5 from every observation and complete the sample mean for the new data.
______________
b. Complete the sample variance for the original data.
______________
Subtract 5 from every observation and complete the sample variance for the new data.
______________
c. What effect, if any, does subtracting 5 from every observation have on the sample mean and sample variance?
________________________________________________________
Aptitude Test
An examination designed to measure a person's ability to develop skills or acquire knowledge, predicting future performance.
Sample Variance
A measure of the dispersion or spread of a set of sample data points around their sample mean.
- Comprehend the application of arithmetic operations to calculate the mean and its impact on datasets.
- Acquire knowledge on how variance is calculated and interpreted, and understand its importance in describing data spread.
Verified Answer
GP
gianicola perronJun 05, 2024
Final Answer :
12; 7; 6.8; 6.8; The sample mean is shifted to the left (decreased by 5), but the sample variance remains unchanged.
Learning Objectives
- Comprehend the application of arithmetic operations to calculate the mean and its impact on datasets.
- Acquire knowledge on how variance is calculated and interpreted, and understand its importance in describing data spread.