MEASURES OF CENTRAL TENDENCY

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Brief Summary

This video explains how to calculate the mean, median, and mode for a given set of data. The video demonstrates these concepts with two examples, providing step-by-step instructions and explanations.

  • The mean is calculated by summing all the values in the data set and dividing by the total number of values.
  • The median is the middle value in a sorted data set. If there are an even number of values, the median is the average of the two middle values.
  • The mode is the value that appears most frequently in the data set.

Mean, Median, and Mode: Example 1

The first example uses the data set: 2, 7, 5, 7, and 14.

  • To find the mean, the values are added together (2 + 7 + 5 + 7 + 14 = 35) and then divided by the number of values (35 / 5 = 7). Therefore, the mean is 7.
  • To find the median, the data set is arranged in ascending order (2, 5, 7, 7, 14). Since there are an odd number of values, the middle value (7) is the median.
  • To find the mode, the data set is examined for the most frequent value. In this case, the value 7 appears twice, making it the mode. This data set is considered unimodal because it has only one mode.

Mean, Median, and Mode: Example 2

The second example uses the data set: 8, 3, 3, 17, 9, 22, and 19.

  • To find the mean, the values are added together (8 + 3 + 3 + 17 + 9 + 22 + 19 = 81) and then divided by the number of values (81 / 7 = 11.57). Therefore, the mean is 11.57.
  • To find the median, the data set is arranged in ascending order (3, 3, 8, 9, 17, 19, 22). Since there are an odd number of values, the middle value (9) is the median.
  • To find the mode, the data set is examined for the most frequent value. In this case, the value 3 appears twice, making it the mode. This data set is also considered unimodal because it has only one mode.
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Transcript

Full transcript of “MEASURES OF CENTRAL TENDENCY”. Click a timestamp to open the video at that moment. Need another video? Use the YouTube transcript generator.

0:01 for today's we are going to discuss the measures of central tendency so let us solve some problems find the mean median modes if any for the given data so the question number one we have two seven five seven and fourteen so first uh let us solve the value of rule so we're using the symbol okay so and then let's add since the formulas the summation of X over n so what we're going to do is simply add 2 plus 7 plus five plus seven plus fourteen all over so baby lying along so how many

0:46 data set or given so one two three four five so that is all over five and then so get the sum that is 35 over five so since we're going to check two plus seven is nine plus five fourteen plus seven that is 21 plus 14 that is 35 so 35 divide 5 the answer is seven so the mean value for this problem is seven next is the uh median so in order to get the value of median so we need to arrange first uh the given data from noise to high yes so we're going to

1:32 arrange start with two five seven seven fourteen so the rule in getting the median if we have an add number so if the given is add number so we only have one middle value and that is the median so in this example we have ADD number so 7 here is the median so the answer here is also seven and lastly of course we're going to get the value of mode so mode is the most frequency or occurrence that uh appears

2:18 on the given data so as you can see we have seven so say Delaware in seven so therefore your mood methane is seven so this one we call this as unimodal scenes we only have one Moon okay next we have eight three three Seventeen nine twenty two nineteen so again so let's start with Computing the value of mean so the formula is the summation of X over n so what we're going to do add

3:03 so this is 8 plus three plus three plus Seventeen plus nine plus twenty two plus nineteen all over okay so let's count the given data set one two three four five six seven so if we're going to add so that is 81 so this is 81 over seven and using your calculator you can divide it and the answer is eleven point fifty Seven so this will be the mean

3:50 value next is the median so same process we need to arrange first from the restore highest drop three three nine uh eight so we have nine uh 17. 19 and 22 so one two three four five six seven since add number then so we only have one middle data here our middle value so and that's the middle value is our median so in this example our median is 9. so the answer is nine

4:37 and of course for mode the value of mode here so we have uh three okay so we have three now so say since we have two uh event at three so that is the answer so and then this is a guinea model also

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