Lecture 2

Question 1

what are the measures of tendencies

Answer 1

-Mean
-Mode
-Median

Question 2

Mean- Define, how to calculate

Answer 2

Definition: the average value of the set.
How to calculate: add up all samples then divide by sample size. (amount of samples)

Question 3

Explain variation with sample size (N). (Mean)

Answer 3

Variation with sample size: as sample size increases it gets closer to the population mean

Question 4

Median define and calculate

Answer 4

Definition: is the number in middle of the sample (ranked in order)
How to calculate: The middle sample when the samples are ranked in order. (if there are two middle numbers add them then divide by 2)

Question 5

Explain variation with sample size (N). (median)

Answer 5

Variation with sample size: as sample size increases it gets closer to the population median

Question 6

Mode define and how to calculate

Answer 6

Definition: the the most repeated or frequent number that appears
How to calculate: find the most repeated value.

Question 7

Explain variation with sample size (N).(Mode)

Answer 7

Variation with sample size: as sample size increases it gets closer to the population mode

Question 8

what are the measures of dispersion?

Answer 8

-Range
-Interquartile range
- Standard error (SD)
-Standard deviation (SE)
- coefficient of variation (CV)

Question 9

Define and how to calculate Range

Answer 9

Definition: the Max to min value
How to calculate: Maximum value - Minimum value

Question 10

Explain variation with sample size (N). (Range)

Answer 10

Variation with sample size: as sample size increases it gets closer to the population range

Question 11

explain variation with magnitude of the mean (μ) (Range)

Answer 11

Variation with magnitude of the mean (μ) : larger magnitude with higher mean
Note:a larger range with a higher mean indicates that the data points are spread further apart from each other, even though the central tendency (represented by the mean) is shifted towards a higher value

Question 12

Define and calculate interquartile range

Answer 12

Definition: first to third quartile
Calculation: median of the lower half of the data (Q1) - median of the upper half of the data (Q3)

Question 13

Variation with sample size (Interquartile range-IQR)

Answer 13

Variation with sample size: as sample size increases it gets closer to the populations IQR

Question 14

Variation with magnitude of mean (μ)
(IQR)

Answer 14

Variation with magnitude of mean (μ): larger magnitude with higher mean Note: it tells you how much variation exists within the middle half of your data,

Question 15

Standard deviation (SD) define and calculate

Answer 15

Definition: The average distance to the mean
Calculation: