What is the highest grade value? How many cases had this value? Is this value an

Question

What is the highest grade value? How many cases had this value? Is this value an outlier?

What are the lowest values reported for higrade? Would you consider these values outliers? Why or why not?

14463 1407 Lowest 865 14063 14143 L4398 14273 Percentiles Percentiles 5 10 25 50 T 75 90 95 Highest school grade completed HAverage 11.00 11.00 12.00 Tukey's Hinges Descriptives Highest school grade completed Mean 28 Confidence Interval for Mean Lower 18 Upper Bound 11.37 5% Trimmed Mean 11, 32 Median 11.00 2.44 Variance 1.56 l.00 Minimum Maximum 16.00 15.00 Range Interquartile Rang 1,00 skewness Kurtosis FREQUENCIES

Explanation / Answer

From the extreme values table, we can see that highest grade value is 16.

In extreme values table, i am only able to see top 6 values, all having value as 16. So we need more information to say what is the exact number of observations having value as 16. So the cases having value of 16 will be 6 or more. For this kindly order your data in descending order of values.

To determine outlier we can calculate the below values

Lower fence = Q1 - 3 * (IQR) = 11 - 3*1 = 8

Upper fence = Q1 + 3 * (IQR) = 11 + 3*1 = 14

So this value of 16 can be considered as an extreme outlier since it is greater than upper fence value of 14.

From the extreme values table, lowest value reported for high grade is 1.

Lowest 6 values reported are 1,2,3,4,5,6

Yes, these values can be considered as outliers as they fall below the lower fence value of 8.

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