Given the data 14, 26, 23, 19, 24, 46, 15, 21: a. What is the outlier in the data? b. What is the mean with the outlier? c. What is the mean without the outlier? A. 14; 20.3; 23.5 B. 14; 23.5; 20.3 C. 46; 20.3; 23.5 D. 46; 23.5; 20.3
A. The outlier in the data is 46.
B. The mean with the outlier is (14+26+23+19+24+46+15+21)/8 = 23.5.
C. The mean without the outlier is (14+26+23+19+24+15+21)/7 = 20.3.
Therefore, the answer is B. 14; 23.5; 20.3.
To find the outlier in the given data, we can arrange the numbers in ascending order: 14, 15, 19, 21, 23, 24, 26, 46.
a. The outlier in the data is the value that is significantly different from the rest of the numbers. In this case, it is 46.
To find the mean with the outlier, we add up all the numbers and divide the sum by the total number of values (8):
b. Mean (with the outlier) = (14 + 15 + 19 + 21 + 23 + 24 + 26 + 46)/8 = 168/8 = 21
To find the mean without the outlier, we remove the outlier from the data and calculate the mean using the remaining numbers:
c. Mean (without the outlier) = (14 + 15 + 19 + 21 + 23 + 24 + 26)/ 7 = 142/7 = 20.3.
Therefore, the answers are:
a. The outlier in the data is 46.
b. The mean with the outlier is 21.
c. The mean without the outlier is 20.3.
So, the correct option is B. 14; 23.5; 20.3.