1. Salaries of personnel at a small company which consists of the owner , the manage , the salesperson and two technicians are listed below. Staff Salary Owner $ 90,000 Manager $ 40,000 Salesperson $ 24,000 Technician $ 18,000 Technician $ 18,000 Find the mean , median , and mode . Which of these measure of central tendency would you say more closely represents the data? 2. For each of the following parts (a)-(d) complete the following questions (i)-(iii): i) whether you expect the distribution to be symmetric, right skewed, or left skewed ii) specify whether the mean or median would best represent a typicalobservation in the data iii) whether the variability of observations would be best represented using the standard deviation or IQR . Explain you reasoning (a) Heights of adult males. (b ) Housing prices in a country where 25 % of the houses cost below $350 , 000 , 75 % of the houses cost below $ 1,000,0000 and there are a meaningful number of houses that cost more than $6 , 000 , 000 . (c ) Housing prices in a country where 25 % of the houses cost below $3000 , 000 , 50 % of the houses cost below $600,0000 , 75 % of the houses cost below $900,0000 and very few houses that cost more than $ 1, 200 , 000 . (d ) Annual salaries of the employees at a Fortune 500 company where only a few high level executives earn much higher salaries than all the other employees. 3. The distribution of the length of bolts has a bell shape with a mean of 4 inches and a standard deviation of 0.007 inch. (a) About 68 % of bolts manufactured will be between what lengths ? (b ) What percentage of bolts will be between 3.986 inches and 4.014 inches ? (c) If the company discards any bolts less than 3.986 inches or greater than 4.014 inches , what percent age of bolts manufactured will be discarded