Question

Jerome discovered he had made an error when he measured one of the feathers. Which data value could be the error? Explain

Answer 1

3/4

Explanation:

From the plotted number line :

The Outlier value can be determined :

Q1 = 0.25(n+1)th term

Q1 = 0.25(21)th term = 5.25th = (2 1/4 + 2)/2 = 2.125

Q3 = 0.75(21)th term = 15.75th = 2 1/2

IQR = Q3 - Q1 = 2.5 - 2.125 = 0.375 = 3/8

Q1 - 1.5(IQR) = 2.125 - (1.5*0.375) = 1.5625

Q3 - 1.5(IQR) = 2.5 + (1.5*0.375) = 3.0625

Hence, Outlier values will be :

Values < 1.5625 and

Values > 3.0625

The Outlier value in the data is 3/4