Lesson 13- Descriptive Statistics- Measures of Central Tendency & Measures of Dispersion Flashcards
What is the measure of central tendency?
Measures of Central Tendency- inform us about central values for set of data- ‘averages’- typical value
List the 3 measures of central tendency
1) Mean
2) Median
3) Mode
What is the mean?
Mean- calculated by adding all scores in data set & dividing them by total number of scores
What are the evaluation points for the mean?
👎- distorted by single extreme value (anomaly) in data set … value ✖️ true
👍- most accurate measure- takes into account all scores
What is the median?
Median- calculated by ranking all scores in order & taking middle value- for even no. of data items take midpoint of the 2 middle values
What are the evaluation points of the median?
👎- ✖️ as sensitive as mean- ✖️ all scores used in calculation … unrepresentative of data if scores clustered around ⬆️ & ⬇️ levels
👍- unaffected by extreme scores (anomalies) unlike mean
What is the mode?
Mode- most frequent value in data set
What are the evaluation points of the mode?
👎- tells us nothing about other scores in data set
👍- mode unaffected by extreme scores
What is the measure of dispersion?
The spread of the data
What are the 2 measures of dispersion?
1) Range
2) Standard deviation
What is the range?
Range- difference between highest ⬆️ & lowest ⬇️ scores in data set
What are the evaluation points of the range?
👎- easily distorted by extreme values (anomalies)
👍- quick⚡️ & easy to calculate compared to standard deviation
What is standard deviation?
Standard Deviation- average amount that each score differs from mean
What are the evaluation points of standard deviation?
👎- ⬆️ difficult to calculate than range
👍- takes into account all scores
List the 2 types of ratio
1) Part-to-whole ratio
2) Part-to-part ratio