Upcoming SlideShare
×

# Mode3

414 views

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
414
On SlideShare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
4
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Mode3

1. 1. Part 3 Mode Module 2
2. 2. Mode <ul><li>A Measure of Central Tendency </li></ul><ul><li>Value that Occurs Most Often </li></ul><ul><li>Not Affected by Extreme Values </li></ul><ul><li>There May Not Be a Mode </li></ul><ul><li>There May Be Several Modes </li></ul><ul><li>Used for Either Numerical or Categorical Data </li></ul>0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Mode = 9 0 1 2 3 4 5 6 No Mode
3. 3. Individual series <ul><li>Arrange the data in an array either in ascending or descending order </li></ul><ul><li>Find the item which occurs most frequently is the mode </li></ul><ul><li>Find the mode from the following values </li></ul><ul><li>25,35,28,42,62,53,35,28,42,35,23,42,35 </li></ul>
4. 4. Question 2 <ul><li>Find the mode from the following values </li></ul><ul><li>40,60,35,25,81,75,10,90 </li></ul><ul><li>Here Mode is ill defined,or it is bimodel we can use other formula to find out the mode </li></ul><ul><li>Mode=( 3 median-2 mean ) </li></ul>
5. 5. Answer <ul><li>Here mean =52 </li></ul><ul><li>Median = size of the (n+1)/2 th item </li></ul><ul><li>Size of the 4.5 th item=(40+60)/2=50 </li></ul><ul><li>Mode=3median-2mean </li></ul><ul><ul><li>=(3*50)-(2*52)=150-104=46// </li></ul></ul>
6. 6. Mode in the case of discrete series <ul><li>Method of inspection </li></ul><ul><li>Arrange the data in the form of an array </li></ul><ul><li>Find which variate (value of the item) occurs the maximum no of times.This method is called method of inspection </li></ul>
7. 7. Method of grouping <ul><li>In this method we make six columns </li></ul><ul><li>Write the original given frequencies </li></ul><ul><li>Sum of the frequencies taken two at a time starting from first frequency of column 1 </li></ul><ul><li>Sum of the frequencies taken two at a time starting from second frequency of column 1 </li></ul><ul><li>Sum of the frequencies taken three at a time starting from the first frequency of column 1 </li></ul><ul><li>Sum of the frequencies taken three at a time starting from second frequency of column 1 </li></ul><ul><li>Sum of the frequencies taken three at a time starting from third frequency of column 1 </li></ul>
8. 8. Why we are using method of Grouping <ul><li>Model class is generally the having the highest frequency.But in some problems the concentration of frequencies may be more around a frequency which is less than the highest frequency.Therefore apply grouping and analysis table to find the correct model class. </li></ul>
9. 9. Question no 1 <ul><li>Find Mode from the following observation using grouping method </li></ul><ul><li>Heights in Inches f </li></ul><ul><li>66 1 </li></ul><ul><li>67 2 </li></ul><ul><li>68 4 </li></ul><ul><li>69 3 </li></ul><ul><li>70 2 </li></ul><ul><li>71 1 </li></ul><ul><li>72 2 </li></ul><ul><li>73 1 </li></ul><ul><li>74 1 </li></ul><ul><li>75 1 </li></ul>
10. 10. Mode in case of a continuous series <ul><li>Mode lies in the class having the highest frequency.From this class mode is calculated using the interpolation formula, </li></ul><ul><li>C- the magnitude of the class interval </li></ul>
11. 11. Compute the mode <ul><li>Compute the mode from the following table </li></ul><ul><li>Size of items Frequency </li></ul><ul><li>0-5 20 </li></ul><ul><li>5-10 24 </li></ul><ul><li>10-15 32 </li></ul><ul><li>15-20 28 </li></ul><ul><li>20-25 20 </li></ul><ul><li>25-30 16 </li></ul><ul><li>30-35 14 </li></ul><ul><li>35-40 10 </li></ul><ul><li>40-45 8 </li></ul>