basic statistics - centering study
Post on 12-Aug-2015
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Centering
1
Characteristic of Data
Central Tendency
Variation Skewness
Central Value
2
Measure of Central Tendency
Mean Median Mode
“Single Value in the range of data set that is used to represent the entire data”
Central Value
3
Benefits of central Value
1) Represents entire population
2) Facilitates Comparison
3) Helps in decision making
Mean (Arithmetic Mean)“Arithmetic mean is average of magnitude of all the data points in a sample/population. It is calculated by dividing the sum of the values of all observations in the given data set by the number of observation in that set.”
Table A37616 32240 44974 35904 25910 36428 N 2227870 SUM 74231942649 Mean 33741.7724065 42421 41726 36245 23436 17112 27306 30900 25091 42607 43573 43650 30437 30159
Mean =Sum of all the value
Total no: of values
Table B34075 24550 28687 38223 29900 16413 N 22
42237 SUM162533
839676 Mean 7387916169 24036 19704 38340 28997 31330 21632 19806 29647 30443 42058 28596
1000000
40819
Median“Median is a middle value of any given data set when data is arranged in sequential order i.e. ascending or descending”
Median =N+1
2th item
When n is odd
Table A
12342
13213 N 17
13987(N+1)
/2 9
14123
14567
14987
15873
15998
16008
16547
16985
17845
18000
18765
18967
19823
19921
Table B
12342
13213 N 16
13987(N+1)
/2 8.5
14123
14567
14987
15873
15998
16008
16547
16985
17845
18000
18765
18967
19823
Table AMedian = 16008
Table BMedian = 8.5th item
Median = 15998+16008
2
Median = 16003
Comparison of Mean and Median
6
Table A37616 32240 44974 35904 25910 36428 27870 42649 24065
42421 Mean33741.772
741726 Median 3407236245 23436 17112 27306 30900 25091 42607 43573 43650 30437 30159
Table B37616 32240 44974 35904 25910 36428 27870 42649 24065 42421 Mean 77825.454541726 Median 36074.536245 23436 17112 27306 30900 25091 42607 43573 43650 30437
1000000
“We use mean as a measure of central tendency in case of normal data and median in case of non normal data”
Mode
7
“Mode is the highest repeated number in any data set”
Quality Score
85854567557585909285
Highest repeated number =85Mode = 85
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