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Summary Ungrouped Data- Mean, Mode, Median, Q1, Q3 & Percentiles

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Steps with calculator methods to work out ungrouped summary measures

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Institution
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Uploaded on
August 19, 2022
Number of pages
2
Written in
2022/2023
Type
Summary

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Unit 2

Mean Average ∑x
x=
n
Mode Most frequently occurring M0


Median Middle value n+1
Position
2
1st quartile ¼ of data set n+1
Position
4
3rd quartile ¾ of data set 3 ( n+1 )
Position
4
Percentile Specific value Pn0




Mean:

Calculator Process:


 Mode
 STAT
 1-VAR
 Insert value and add = sign after
 AC, SHIFT, 1
 SUM
 ∑x
 Press =

The answer obtained needs to be / by the number of values in data set

Interpretation: The average … of …… in the sample is …… unit (i.e., years) or younger.

Mode:

Identify the value in data set that occurs most often.

Interpretation: the most frequently occurring …. amongst the …. In the sample is ….. units.

Median:

NB! First work out position then from this, look for corresponding value

n+1
Median Position =
2
n= Number of values in set

*From this assign the corresponding value to the position

Interpretation: Half the …. In the sample are …. units or less
$4.92
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