Question

If q1 is -0.2 and q3 is 0.1, what are the outliers from the following numbers: 0.26, 0.46, -0.05, 0.06, 0.01, 0.26, 0.06, -0.02, -0.01, 0.11, 0.03, -0.15, 0.08, 0.07, -0.11, 0.06, 0.19, 0.02, -0.05, 0.10, 0.06, 0.05, -0.02, 0.01, 0.10, -0.04, 0.18, 0.13, -0.10, 0.25, -0.04, 0.09, -0.08, 0.02, -0.02, 0.22, 0.02, -0.02, 0.03, 0.03?

Answer 1

To identify outliers using the IQR test, calculate the IQR, lower and upper bounds, and compare each data point to the bounds.

Step-by-step explanation:

To identify outliers, we can use the interquartile range (IQR) test.

1. First, we need to calculate the IQR, which is the difference between the first quartile (Q1) and the third quartile (Q3). Q1 = -0.2 and Q3 = 0.1, so IQR = 0.1 - (-0.2) = 0.3.
2. Next, we calculate the lower and upper bounds for outliers. The lower bound is Q1 - 1.5 * IQR = -0.2 - 1.5 * 0.3 = -0.65, and the upper bound is Q3 + 1.5 * IQR = 0.1 + 1.5 * 0.3 = 0.55.
3. Finally, we compare each data point to the lower and upper bounds. Any data point that is less than the lower bound or greater than the upper bound is considered an outlier. In this case, there are no outliers in the given data set.