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Answer :
The IQR(Interquartile Range) of the given data set 92, 96, 93, 94, 95, 93 is equal to 3.
Set of the data is equal to,
92, 96, 93, 94, 95, 93
To find the IQR (Interquartile Range) of a set of data,
We need to first find the median of the data,
And then find the medians of the lower and upper halves of the data.
First, we need to put the data in order,
92, 93, 93, 94, 95, 96
The median is the middle value, which is 94.
Next, we need to find the medians of the lower and upper halves of the data.
Lower half: 92, 93, 93
The median of the lower half is (92+93)/2 = 92.5.
Upper half: 94, 95, 96
The median of the upper half is (95+96)/2 = 95.5.
Finally, find the IQR by subtracting the median of the lower half from the median of the upper half,
IQR = 95.5 - 92.5
= 3.
Therefore, the IQR of the given data set is equal to 3.
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