Answer :
The true statement is Only 294 is an outlier.
The correct option is D0
What is Outlier?
A value that differs significantly from the other values in a data set is referred to as an outlier. In other words, outliers are results that deviate unusually from the mean.
Most of the time, outliers affect the mean but not the median or mode. As a result, the outliers' impact on the mean is crucial.
In order to find the outliers, the data can also be plotted as a dot plot on a number line.
We have the data,
159, 162, 199, 200, 204, 208, 215, 235, 261, 294
First, The middle value is 206.
and, Q1 = 199 and Q3 = 235.
Now, Any outliers will be more than 1.5 times the IQR either higher or lower than Q1 or Q3, respectively.
IQR = Q3 - Q1
IQR = 235-199
IQR = 36
So, the outlier will be lower than
= 199-1.5(36)
= 145
or greater than
= 235+1.5(36)
= 289.
Thus, the only outlier is 294.
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Answer:
Only 294 is an outlier.
Step-by-step explanation:
First we find the median of this set of data. The middle value is 206. Next we find the upper and lower quartiles, Q1 and Q3. Q1 = 199 and Q3 = 235.
Any outliers will be more than 1.5 times the IQR lower than Q1 or more than 1.5 times the IQR greater than Q3. To find the IQR, subtract Q1 and Q3:
235-199 = 36
This means any outlier will be lower than
199-1.5(36) = 145
or greater than
235+1.5(36) = 289.
There are no values lower than 145. However, the upper end has an outlier at 294.
