Measures of Central Tendency Mean median and mode

Measures of Central Tendency Mean, median and mode are measures of central tendency, which means. . . ?

The formula for mean is: x represents the means ‘sum of’ X represents each individual score n represents the number of scores

The mean attempts to represent the central value of the data, but sometimes extreme scores affect the value of the mean. For example, calculate the mean, is it true representation of the scores? 1, 2, 3, 4, 20

The mode is the score which occurs the most. The median is the score in the middle when all the scores are arranged in order. When there is an even number of scores (so two in the middle), add the two scores and divide by two.

Example: Find the median 3 4 8 2 2 6 9 16 Example: Find the median 13 13 16 12 19 18 20 18

Mean, median and mode on calculator. . .

Textbook Exercise 11. 1 Q 3 a and b only

For data that is arranged in a frequency table, finding the mean and median is a little different.

Example: Find the mean, median and mode. Score (x) Frequency (f) 0 1 1 4 2 6 3 8 4 9 5 10 6 15 7 12

Mean, median and mode in frequency tables on calculator. . .

Example: For each of the following situations, which measure of central tendency should be used? a) The maximum temperatures in Toowoomba every day in January are recorded over a 20 year period. What is the most likely maximum temperature on 15 January? b) The house prices in Aspley are monitored over a 12 -month period. What is the typical house price? c) The competitors in an iron-man competition on the Gold Coast are weighed before competing. What is the typical mass of an iron-man competitor?

Textbook Exercise 11. 1 Q 2 Q 3 c and d