How To Find The Outlier In Math

For this data set 309 is the outlier.

For example in the scores 25 29 3 32 85 33 27 28 both 3 and 85 are outliers. To calculate outliers of a data set you ll first need to find the median. An outlier is a number in a data set that is much smaller or larger than the other numbers in the data set. 90 86 15 86 92 15 would be an outlier in this data set.

If we subtract 1 5 x iqr from the first quartile any data values that are less than this number are considered outliers. Calculate the median and mode when you have outliers. You can also try the geometric mean and harmonic mean. Higher outlier 89 1 5 83 higher outlier 213 5.

So it seems that outliers have the biggest effect on the mean and not so much on the median or mode. Do the same for the higher half of your data and call it q3. Here add q3 with the value calculated in step2. Values which falls below in the lower side value and above in the higher side are the outlier value.

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Multiplying the interquartile range iqr by 1 5 will give us a way to determine whether a certain value is an outlier. 55 88 90 93 94 indentify the outlier yes it is 55 next find the median determine how the outlier affects the median by finding the median without the outlier included. First calculate the quartiles i e q1 q2 and interquartile. A simple way to find an outlier is to examine the numbers in the data set.

Now calculate the value q2 1 5. To find outliers and potential outliers in the data set we first need to calculate the value of the inner fences and outer fences. Step by step calculation of outlier. Determine how the outlier affects the median and the mean in the following quiz scores.

Median without the outlier is as follows. 574 1 5 cdot 102 text and 676 1 5 cdot 102 text inner fences. Then get the lower quartile or q1 by finding the median of the lower half of your data. Now fetch these values in the data set 118 5 2 5 6 7 23 34 45 56 89 98 213 5 309.

They are the extremely high or extremely low values in the data set. Find the interquartile range by finding difference between the 2 quartiles. Q1 1 5 cdot iqr text and q3 1 5 cdot iqr for this data set. Now subtract q1 value from the value calculated in step2.

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Outliers formula example 2. Outliers are data points that don t fit the pattern of rest of the numbers. The below steps needs to be followed to calculate the outlier. An outlier may affect a measure of center.