consider the data set 10,11,12,13,14,15,16,17,18. complete parts (a) through (c) below.\na. obtain the mean…

consider the data set 10,11,12,13,14,15,16,17,18. complete parts (a) through (c) below.\na. obtain the mean and median of the data.\nthe mean is 14.\n(type an integer or a decimal. do not round.)\nthe median is 14.\n(type an integer or a decimal. do not round.)\nb. replace the 18 in the data set by 108 and again compute the mean and median. decide which measure of center works better here, and explain your answer.\nthe mean is 24.\n(type an integer or a decimal. do not round.)\nthe median is \n(type an integer or a decimal. do not round.)

consider the data set 10,11,12,13,14,15,16,17,18. complete parts (a) through (c) below.\na. obtain the mean and median of the data.\nthe mean is 14.\n(type an integer or a decimal. do not round.)\nthe median is 14.\n(type an integer or a decimal. do not round.)\nb. replace the 18 in the data set by 108 and again compute the mean and median. decide which measure of center works better here, and explain your answer.\nthe mean is 24.\n(type an integer or a decimal. do not round.)\nthe median is \n(type an integer or a decimal. do not round.)

Answer

Explanation:

Step1: Recall the formula for median

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

Step2: Rearrange the new data - set

The original data - set is $10,11,12,13,14,15,16,17,18$. After replacing $18$ with $108$, the new data - set is $10,11,12,13,14,15,16,17,108$. Here $n = 9$ (an odd number).

Step3: Calculate the position of the median

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

Step4: Find the median

The $5$-th value in the ordered data - set $10,11,12,13,14,15,16,17,108$ is $14$.

Answer:

$14$