Answer:
Step-by-step explanation:
Given
4, 17, 12, 9, 6, 10, 1, 5, 9, 3
Calculating the range;
From the given data;
Highest = 17 and Lowest = 1
Hence;
Calculating the Inter-quartile Range
Inter quartile range (IQR) is calculates as thus
Where
Q3 = Upper Quartile and Q1 = Lower Quartile
<em />
<em>Start by arranging the data in ascending order</em>
1, 3, 4, 5, 6, 9, 9, 10, 12, 17
N = Number of data; N = 10
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Calculating Q3
<em>Substitute 10 for N</em>
Express 8.25 as 8 + 0.25
Express 0.25 as fraction
From the arranged data;
and
Calculating Q1
<em>Substitute 10 for N</em>
Express 2.75 as 2 + 0.75
Express 0.75 as fraction
From the arranged data;
and
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Recall that
Calculating Variance
Start by calculating the mean
Subtract the mean from each data, then square the result
Sum the result
Divide by number of observation;
Calculating Standard Deviation (SD)
<em>(Approximated)</em>