Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Measures of Central Tendencies A review of terms and extension
Measures of Central Tendencies <ul><li>Measure of Central Tendency </li></ul><ul><li>Mean </li></ul><ul><li>One number tha...
Measures of Central Tendencies <ul><li>Median </li></ul><ul><li>Mode </li></ul><ul><li>When the numbers are in order, the ...
Measures of Central Tendencies <ul><li>Outlier </li></ul><ul><li>A number that is very far away from the rest of the data ...
What do we know when given: <ul><li>Mean </li></ul><ul><ul><li>Ex. Mean of text messages per day of students is 40 </li></...
What do we know when given: <ul><li>Mean, number in data set, total of all but one data point </li></ul><ul><ul><li>Mean=4...
What do we know when given: <ul><li>Median is 50 </li></ul><ul><li>Median is 50 and there is an odd number of data points ...
What do we know when given: <ul><li>Median is 50 and there are 80 data points </li></ul><ul><li>Mode </li></ul><ul><li>ex....
When are each useful? <ul><li>Mean </li></ul><ul><li>Median </li></ul><ul><li>Mode </li></ul><ul><li>When we want to know ...
Measure of Central Tendency <ul><li>Think  of specific examples of when you might use each </li></ul><ul><li>Pair  up with...
Upcoming SlideShare
Loading in …5
×

Measures Of Central Tendencies

11,292 views

Published on

lesson on measures of central tendencies

Published in: Technology, Business
  • i think it's box plot
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here

Measures Of Central Tendencies

  1. 1. Measures of Central Tendencies A review of terms and extension
  2. 2. Measures of Central Tendencies <ul><li>Measure of Central Tendency </li></ul><ul><li>Mean </li></ul><ul><li>One number that represents a data set and gives an idea of the middle quantity of the data set. </li></ul><ul><li>Adding all of the numbers and dividing by how many numbers are in the data set </li></ul>
  3. 3. Measures of Central Tendencies <ul><li>Median </li></ul><ul><li>Mode </li></ul><ul><li>When the numbers are in order, the middle number. If there are two middle numbers, add them and divide by 2. </li></ul><ul><li>The number that shows up most in a data set. </li></ul>
  4. 4. Measures of Central Tendencies <ul><li>Outlier </li></ul><ul><li>A number that is very far away from the rest of the data set. </li></ul><ul><li>An outlier moves the average from the middle of the cluster of the rest of the data points. </li></ul>
  5. 5. What do we know when given: <ul><li>Mean </li></ul><ul><ul><li>Ex. Mean of text messages per day of students is 40 </li></ul></ul><ul><li>Mean and how many points are in a data set </li></ul><ul><ul><li>Ex. Mean of text messages per day of students is 40 and we surveyed 100 students </li></ul></ul><ul><li>We know some are more or less than 40, but 40 is the average </li></ul><ul><li>We know the above but we also know the total of text messages set by all 100 students </li></ul><ul><ul><li>40 * 100 = 4000 </li></ul></ul>
  6. 6. What do we know when given: <ul><li>Mean, number in data set, total of all but one data point </li></ul><ul><ul><li>Mean=40, 100 students surveyed, 99 students total 3932 </li></ul></ul><ul><li>We know same as before, but since we know the total of 100 students is 4000 and the total of the 99 is 3932, we also know the last person texted 4000-3932=68 times. </li></ul>
  7. 7. What do we know when given: <ul><li>Median is 50 </li></ul><ul><li>Median is 50 and there is an odd number of data points </li></ul><ul><li>Median is 50 and Mean is 40 </li></ul><ul><li>We know half of the data is below 50 and half is above 50 </li></ul><ul><li>50 is one of the data points in the set </li></ul><ul><li>The data set below 50 is further away from 50 than the data set above 50 (see board) </li></ul>
  8. 8. What do we know when given: <ul><li>Median is 50 and there are 80 data points </li></ul><ul><li>Mode </li></ul><ul><li>ex. Mode = 55 </li></ul><ul><li>We know that 40 data points are below the number 50 and 40 data points are above the number 50. </li></ul><ul><li>We know that 55 showed up the most often </li></ul>
  9. 9. When are each useful? <ul><li>Mean </li></ul><ul><li>Median </li></ul><ul><li>Mode </li></ul><ul><li>When we want to know the middle taking into account how big and small the numbers are </li></ul><ul><li>When we want to know the middle and there may be an outlier affecting the mean </li></ul><ul><li>When we want to know what shows up the most, like in a voting situations, </li></ul>
  10. 10. Measure of Central Tendency <ul><li>Think of specific examples of when you might use each </li></ul><ul><li>Pair up with a neighbor and brainstorm if you are stuck on any </li></ul><ul><li>Share with the class what your ideas are </li></ul><ul><li>Should we try any?? </li></ul>

×