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.
Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.
Pythagorean Theorem + = + = 100 + 361 = 461 = x = or about 21.47