Download presentation

Presentation is loading. Please wait.

Published byKeagan Peachey Modified over 3 years ago

1
MEASURES OF CENTRAL TENDENCY Measures of central tendency try to describe what we refer to as the center of the data

2
Here are four sets to look at A = {2,3,6,7,7,8,9} B = {2,4,7,7,8,8} C = {2,7,9} D = {2,2,2,6,8,9,9,10} Where does the center appear to be for each?

3
Lets look at them graphically. x x x x x x x 1 2 3 4 5 6 7 8 9 10 A = {2,3,6,7,7,8,9} x x x x x x 1 2 3 4 5 6 7 8 9 10 B = {2,4,7,7,8,8} x x x 1 2 3 4 5 6 7 8 9 10 C = {2,7,9}

4
x x x x x x x 1 2 3 4 5 6 7 8 9 10 A = {2,3,6,7,7,8,9} x x x x x x 1 2 3 4 5 6 7 8 9 10 B = {2,4,7,7,8,8} x x x 1 2 3 4 5 6 7 8 9 10 C = {2,7,9} x x x x x x x x 1 2 3 4 5 6 7 8 9 10 D = {2,2,2,6,8,9,9,10}

5
Here are four sets to look at A = {2,3,6,7,7,8,9} B = {2,4,7,7,8,8} C = {2,7,9} D = {2,2,2,6,8,9,9,10} There are three basic measures of central tendency we will discuss. Mean, Median and Mode

6
Mode- the most frequent data value Mode A = {2,3,6,7,7,8,9} B = {2,4,7,7,8,8} C = {2,7,9} D = {2,2,2,6,8,9,9,10}

7
Mode- the most frequent data value Mode A = {2,3,6,7,7,8,9} 7 B = {2,4,7,7,8,8} 7 & 8 C = {2,7,9} ? D = {2,2,2,6,8,9,9,10} 2 Weakness to Mode: May not exist May not be unique Unaffected by extreme values Does not always reflect the center of the data

8
Mode- the most frequent data value Mode A = {2,3,6,7,7,8,9} 7 B = {2,4,7,7,8,8} 7 & 8 C = {2,7,9} ? D = {2,2,2,6,8,9,9,10} 2 Weakness to Mode: May not exist May not be unique Unaffected by extreme values Does not always reflect the center of the data Strength- The mode provides information about common values or concentration of data. It can be used with nominal data Application- Inventory in a shoe store or pizza store

9
Median- the middle value in a set of data arrange in increasing/ decreasing order. If there is an even number of entries, the median it the average of the two middle values. Mode Median A = {2,3,6,7,7,8,9} 7 B = {2,4,7,7,8,8} 7 & 8 C = {2,7,9} ? D = {2,2,2,6,8,9,9,10} 2

10
Median- the middle value in a set of data arrange in increasing/ decreasing order. If there is an even number of entries, the median it the average of the two middle values. Mode Median A = {2,3,6,7,7,8,9} 7 7 B = {2,4,7,7,8,8} 7 & 8 7 C = {2,7,9} ? 7 D = {2,2,2,6,8,9,9,10} 2 7 Weakness to Median: It is not always a data value It does not represent the concentration of data It is not influenced by the data values Strength- Unique It is unaffected by extreme values Application- prices of homes, salaries of employees

11
Mean- The mean is the average of all the data values. Mode Median Mean A = {2,3,6,7,7,8,9} 7 7 B = {2,4,7,7,8,8} 7 & 8 7 C = {2,7,9} ? 7 D = {2,2,2,6,8,9,9,10} 2 7

12
Mean- The mean is the average of all the data values. The parameter for mean is µ the statistic is Mode Median Mean A = {2,3,6,7,7,8,9} 7 7 6 B = {2,4,7,7,8,8} 7 & 8 7 6 C = {2,7,9} ? 7 6 D = {2,2,2,6,8,9,9,10} 2 7 6 Weakness to Mean: Affected by extreme values Is not always a data value Is sometimes confusing Ex: 2.3 kids in a family Strength- Most commonly used Involves all the data values It is unique Application- Student test scores

13
Symbols for Measures of Center PopulationStatistics Meansmu- µ

Similar presentations

OK

Measures of Central Tendency (MCT) 1. Describe how MCT describe data 2. Explain mean, median & mode 3. Explain sample means 4. Explain “deviations around.

Measures of Central Tendency (MCT) 1. Describe how MCT describe data 2. Explain mean, median & mode 3. Explain sample means 4. Explain “deviations around.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on acid bases and salts for class 10 Ppt on polymers used in daily life Ppt on technical topics related to electrical engineering Ppt on acid base and salt Ppt on church leadership Ppt on social media addiction Ppt on indian musical instruments Free ppt on moving coil galvanometer diagram Ppt on history of australia day Ppt on medieval history of india