The data to represent average test scores for a class of 24 students includes an outlier value of 89. If the mean, including the
outlier of 89, equals 77, which statement is always true about the new data when the outlier is removed? The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
The mean is also known as average. To calculate the mean in a set of data, you add up the number of values in the data set and divide it by the number of values in the distribution. An outlier is a value that differs in measurement from other values in a given set of data. In statistical analysis, outliers are added to other values during calculation of arithmetic mean. Now, when the outliers are removed, the number of data decreases and this affects the mean value. The mean value would also decrease.
The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance. Therefore, the response variable should be the number of workshops attended by each student.
This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"