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# 4[1].4central Tendencies

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### 4[1].4central Tendencies

1. 1. Measures of Central Tendencies Mean Average Mode Average Median Average Range
2. 2. New Data Relates to Loss in Productivity <ul><li>40% of all absences- due-to-illness in the work place occur on Mondays and Fridays reducing effectiveness of the business staff. </li></ul>
3. 3. If you were the boss, what would you do?
4. 4. You can say anything with numbers <ul><li>1 day = 1/5 or 20% of the work week. </li></ul><ul><li>2 days = 2/5 or 40% </li></ul><ul><li>Would you expect illnesses’ absences to occur equally during the week? </li></ul><ul><li>You can make the same statistics sound positive or negative. </li></ul>
5. 5. Only 2/5 of all absences in this company occur on Mondays or Fridays <ul><li>If you were the boss, how would you feel? </li></ul>
6. 6. A Review <ul><li>Mean </li></ul><ul><li>Median </li></ul><ul><li>Mode </li></ul><ul><li>Order the numbers from least to greatest. </li></ul><ul><li>The number that occurs in the middle is the median; </li></ul><ul><li>the one that occurs the MOST is the mode </li></ul>*Total the numbers *Divide by the number of data
7. 7. Find the mean <ul><li>2 </li></ul><ul><li>5 </li></ul><ul><li>3 </li></ul><ul><li>6 </li></ul><ul><li>12 </li></ul><ul><li>9 </li></ul><ul><li>1 </li></ul><ul><li>4 </li></ul><ul><li>2 </li></ul><ul><li>4 </li></ul><ul><li>Total : 48 </li></ul>
8. 8. Find the median and mode <ul><li>Line up the numbers in chronological order </li></ul><ul><li>Mean : 4.8 </li></ul><ul><li>Median: </li></ul><ul><li>Mode: </li></ul>2 5 3 6 12 9 1 4 2 4
9. 9. Find the median and mode <ul><li>Line up the numbers in chronological order </li></ul><ul><li>Mean : 4.8 </li></ul><ul><li>Median: </li></ul><ul><li>Mode: </li></ul>2 5 3 6 12 9 1 4 2 4 4 Find the middle of the list.
10. 10. Find the median and mode <ul><li>Line up the numbers in chronological order </li></ul><ul><li>Mean : 4.8 </li></ul><ul><li>Median: </li></ul><ul><li>Mode: </li></ul>2 5 3 6 12 9 1 4 2 4 Find the number or numbers that occur the most often. 4 2 an 4
11. 11. Find the range <ul><li>Mean : 4.8 </li></ul><ul><li>Median: </li></ul><ul><li>Mode: </li></ul><ul><li>Range: </li></ul>2 5 3 6 12 9 1 4 2 4 Subtract the lowest from the highest number 4 2 an 4 12 – 1= 11
12. 12. Find the mean, median, mode, and range <ul><li>16 </li></ul><ul><li>23 </li></ul><ul><li>19 </li></ul><ul><li>6 </li></ul><ul><li>15 </li></ul><ul><li>17 </li></ul><ul><li>18 </li></ul><ul><li>12 </li></ul><ul><li>19 </li></ul><ul><li>23 </li></ul><ul><li>19 </li></ul>6 12 15 16 17 18 19 19 19 23 23
13. 13. Answers <ul><li>Mean = 17 </li></ul><ul><li>Median = 18 </li></ul><ul><li>Mode = 19 </li></ul><ul><li>Range = 17 </li></ul>6 12 15 16 17 18 19 19 19 23 23
14. 14. Assignment <ul><li>Page 190: </li></ul><ul><ul><li>44 -53; 54, 56 </li></ul></ul>