Question 1. The grades of a student on six examinations were 84, 91, 72, 68, 87, and 78. Find the arithmetic mean of the grades. Question 2. The annual salaries of four men were $15,000, $16,000, $16,500, and $40,000. (a) Find the arithmetic mean of their salaries. (b) Would you say that this average is typical of the salaries? Question 3. A student’s final grades in mathematics, physics, English and hygiene are, respectively, 82, 86, 90, and 70. If the respective credits received for these courses are 3, 5, 3, and 1, determine an appropriate average grade. Question 4. The mean annual incomes of agricultural and nonagricultural workers in the United States are $9000 and $15,000 respectively. (c) Find the mean if there is 1 agricultural worker for every 11 nonagricultural workers. (d) Under what circumstances would the mean be $12,000? (given that (9,000 + 15,000)/2 equals $12,000) Question 5. One of the properties of the arithmetic mean is that the sum of the signed deviations from the mean will always be zero. Prove that this is so using the following set of numbers 5, 9, 10, 7, 9.
Question 1. The grades of a student on six examinations were 84, 91, 72, 68, 87, and 78. Find the arithmetic
Question 2. The annual salaries of four men were $15,000, $16,000, $16,500, and $40,000.
(a) Find the arithmetic mean of their salaries.
(b) Would you say that this average is typical of the salaries?
Question 3. A student’s final grades in mathematics, physics, English and hygiene are, respectively, 82, 86, 90, and 70. If the respective credits received for these courses are 3, 5, 3, and 1, determine an appropriate average grade.
Question 4. The mean annual incomes of agricultural and nonagricultural workers in the United States are $9000 and $15,000 respectively.
(c) Find the mean if there is 1 agricultural worker for every 11 nonagricultural workers.
(d) Under what circumstances would the mean be $12,000? (given that (9,000 + 15,000)/2 equals $12,000)
Question 5. One of the properties of the arithmetic mean is that the sum of the signed deviations from the mean will always be zero. Prove that this is so using the following set of numbers 5, 9, 10, 7, 9.
Step by step
Solved in 2 steps
