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Find the interquartile range for the monthly returns from January to D
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03 Aug 2023, 01:25
03 Aug 2023, 01:25
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Find the interquartile range for the monthly returns from January to December of ABC funds?
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1.75
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Re: Find the interquartile range for the monthly returns from January to D
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17 Sep 2023, 00:09
17 Sep 2023, 00:09
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OE
Let us arrange all the values given in the ascending order first,
We are given the values from Jan to Dec and IQR has to be calculated.
Inter-Quartile Range is given by the difference of Quartile 3 and Quartile 1.
So, to calculate Inter-Quartile Range, let’s find the quartiles.
To find the quartiles, arrange the values in ascending order.
0.5, 0.5, 1, 1, 1.5, 1.75, 2, 2, 2.5, 3, 3, 3.5
Among 12 values, median (Q2) =6rd term + 7rd term/2=1.75+2/2=1.875
Hence, lower half data is = 0.5, 0.5, 1, 1, 1.5, 1.75
Median of half data is Q1 =3rd + 4rd terms/2=1+1/2=1
And the upper half data is = 2, 2, 2.5, 3, 3, 3.5
Median of the upper half data is Q3 = 3rd and 4rd/2=2.5+3/2=2.75
So, Q3 = 2.75
Therefore, Inter-Quartile Range = Q3 - Q1 = 2.75 - 1 = 1.75
Let us arrange all the values given in the ascending order first,
We are given the values from Jan to Dec and IQR has to be calculated.
Inter-Quartile Range is given by the difference of Quartile 3 and Quartile 1.
So, to calculate Inter-Quartile Range, let’s find the quartiles.
To find the quartiles, arrange the values in ascending order.
0.5, 0.5, 1, 1, 1.5, 1.75, 2, 2, 2.5, 3, 3, 3.5
Among 12 values, median (Q2) =6rd term + 7rd term/2=1.75+2/2=1.875
Hence, lower half data is = 0.5, 0.5, 1, 1, 1.5, 1.75
Median of half data is Q1 =3rd + 4rd terms/2=1+1/2=1
And the upper half data is = 2, 2, 2.5, 3, 3, 3.5
Median of the upper half data is Q3 = 3rd and 4rd/2=2.5+3/2=2.75
So, Q3 = 2.75
Therefore, Inter-Quartile Range = Q3 - Q1 = 2.75 - 1 = 1.75
gmatclubot
Re: Find the interquartile range for the monthly returns from January to D [#permalink]
17 Sep 2023, 00:09
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