The data set shows the number of homework assignments required in math classes for a month:22 23 23 21 18 4 17 15 23 20 24 15 25 16Which of the following statements is true based on the data set? (1 point)There is one outlier that indicates an unusually large number of assignments required in that class.There is one outlier that indicates an unusually small number of assignments required in that class.There are two outliers that indicate an unusually large number of assignments required in those two classes.There are two outliers that indicate an unusually small number of assignments required in those two classes.

First, let's organize the data in ascending order: 4, 15, 15, 16, 17, 18, 20, 21, 22, 23, 23, 23, 24, 25.

Next, we need to identify any potential outliers. An outlier is a data point that is significantly different from the other data points.

To find outliers, we can use the Interquartile Range (IQR) method.

Step 1: Find the median (middle value) of the data set. If the data set has an odd number of observations, the median is the middle number. If the data set has an even number of observations, the median is the average of the two middle numbers. In this case, the median is (18+20)/2 = 19.

Step 2: Find the lower quartile (Q1), which is the median of the lower half of the data, not including the median of the entire data set. In this case, Q1 is the median of 4, 15, 15, 16, 17, 18, which is (15+16)/2 = 15.5.

Step 3: Find the upper quartile (Q3), which is the median of the upper half of the data, not including the median of the entire data set. In this case, Q3 is the median of 21, 22, 23, 23, 23, 24, 25, which is 23.

Step 4: Calculate the interquartile range (IQR), which is Q3 - Q1. In this case, IQR is 23 - 15.5 = 7.5.

Step 5: Find the "inner fences". The lower inner fence is Q1 - 1.5IQR, and the upper inner fence is Q3 + 1.5IQR. Any number less than the lower inner fence or greater than the upper inner fence is considered an outlier. In this case, the lower inner fence is 15.5 - 1.57.5 = -11.25, and the upper inner fence is 23 + 1.57.5 = 34.25.

Looking at the data set, we can see that there is one number (4) that is less than the lower inner fence, so it is considered an outlier.

Therefore, the correct statement is: "There is one outlier that indicates an unusually small number of assignments required in that class."