consider the data set 11,12,13,14,15,16,17,18,19. complete parts (a) through (c) below. a. obtain the mean…

consider the data set 11,12,13,14,15,16,17,18,19. complete parts (a) through (c) below. a. obtain the mean and median of the data. the mean is 15. (type an integer or a decimal. do not round.) the median is 15. (type an integer or a decimal. do not round.) b. replace the 19 in the data set by 109 and again compute the mean and median. decide which measure of center works better here, and explain your answer. the mean is 25. (type an integer or a decimal. do not round.) the median is . (type an integer or a decimal. do not round.)

consider the data set 11,12,13,14,15,16,17,18,19. complete parts (a) through (c) below. a. obtain the mean and median of the data. the mean is 15. (type an integer or a decimal. do not round.) the median is 15. (type an integer or a decimal. do not round.) b. replace the 19 in the data set by 109 and again compute the mean and median. decide which measure of center works better here, and explain your answer. the mean is 25. (type an integer or a decimal. do not round.) the median is . (type an integer or a decimal. do not round.)

Answer

Explanation:

Step1: Recall median formula for odd - sized data

For a set of data with (n) values (where (n) is odd), the median is the (\left(\frac{n + 1}{2}\right))-th ordered value.

Step2: Order the new data set

The new data set after replacing 19 with 109 is (11,12,13,14,15,16,17,18,109). There are (n = 9) values.

Step3: Find the median position

(\frac{n+1}{2}=\frac{9 + 1}{2}=5).

Step4: Identify the median

The 5 - th value in the ordered data set (11,12,13,14,15,16,17,18,109) is 15.

Answer:

15