Problem
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? \[ \begin{array}{lllllllllll} 275 & 190 & 185 & 175 & 165 & 165 & 145 & 145 & 145 & 145 & \text { 문 } \end{array} \] a. Find the mean. The mean is $\$ \square$ million. (Tvoe an integer or a decimal rounded to one decimal blace as needed.)
Solution
Step 1 ：The mean is calculated by summing all the values and then dividing by the number of values.
Step 2 ：The data set is [275, 190, 185, 175, 165, 165, 145, 145, 145, 145].
Step 3 ：Summing these values gives 1640.
Step 4 ：There are 10 values in the data set.
Step 5 ：So, the mean is \(\frac{1640}{10} = 164\).
Step 6 ：Final Answer: The mean is \(\boxed{164}\) million.
