# PROBLEMS Stats Assignment Homework Help

PROBLEMS

1. (a) If we have five x values, how would their sum be symbolized using fully indexed sigma notation? (b) If we have P values of y, how would their sum be symbolized using fully indexed sigma notation?

2. For the x values 6,7, 13, 14 compute (a) };xj; (b) };xl; (c) (};xj)2; (d) 1-‘; (e) };(Xj – 1-‘); (f) };(Xj – 1-‘)2.
3. For the y values – 3, 0, 5, 7, 2, 4 compute (a) };Yj; (b) };Yr; (c) (};yj)2; (d)1-‘; (e) };(yj – 1-‘); (f) };(yj – 1-‘)2.

4. (a) Find the average of 4,3,5,2,6. (b) Find the average of 4,3,5,2,60. (c) What characteristic of the average is illustrated by comparing the answers to (a) and (fj)?
5. In order to have an early estimate of the dollar volume of sales, a mail order company weighs the mail at the beginning of each business day. Past records show that the average dollar volume of sales per pound ofmail was \$45. (a) Estimate dollar volume of sales on a day when the morning mail weighs 850 pounds. (b) What property of the average was applied in answering (a)?
6. Compute the total weekly amount paid to 86 secretaries who receive an average of \$290 per week.

7. A student has grades of 65, 70: 95, and 62 on four quizzes. If the student is to have an average of at least 75 after the next quiz, what is the lowest grade that can be received for the next quiz?
8. Average cost when four units are produced is \$10 per unit. What must be the marginal cost of the fifth unit if average cost is to decline to \$9 per unit?
9. Sets of values of average cost per unit and marginal cost are both increasing as number of units produced increases. Which set contains the larger values? Why? ,
10. A smooth uniform distribution has a rectangle as its graph. Suppose the base of the rectangle extends from 20 to 80. What is the mean of the distribution? Why? What are the median and the mode? Why?
11. Suppose a distribution is represented a right triangle whose hypotenuse slants down to the right. If the base of the triangle extends from a to 100, will the mean of the distribution be 50? If not, on which side of 50 will the mean lie? Why?
12. What is the numerical value of L(Xj – JL) if the sum is taken over all N values of XI?
13. Average profit was \$2.00 per order on 200 small orders and \$4.60 per order on 50 large orders. Find average profit per order on all 250 orders.
14. See Problem 17. Holding average profit on large orders constant, what would the average profit per small order have to be if the average profit on the 250 orders is to be \$2.80?
15. A company has wage scale classes A, B, and C. In period 1, there were 50 class A workers whose hourly wage rate was \$4, 300 class Bat \$5 per hour, and 150 class C at \$6 per hour. In period 2, all hourly rates were increased 10 percent and the numbers of workers in classes A, B, and C were, respectively, 160, 200, and 40. (8) Compute the average hourly wage rate in period 1. (b) Compute the average hourly wage rate in period 2. (c) Are the results of (a) and (b) consistent with the fact that all wage rates were increased by 10 percent In period 2? Explain.
16. DUring a decline in stock market prices, a stock sold at 50 per share one day. \$40 on the next day and \$~5 or the th rd. (a) Find the average daily price per share. (b) An investor bought \$1000 worth of the stock on each of the three days. Find the average price paid per share. (c) Explain why the answers for (a) and (b) are different. .

17. During period 1, a company sells products A. B, and Cat \$40, \$50, and \$60 per ton, respectively. Fifty percent of all tons solo are product A, 30 percent are B, and 2D percent are C. In period 2, the company sells the same proportions of each product but raises the prices of A, B, and C by 10, 3 and 2 percent, respectively. (a) Compute the average price per ton sold in period 1 and in period 2. (b) Compute the percent change from period 1 to period 2 in average price per ton sold. (c) Compute the average of the percent increases in the prices of the products. Why is this different from the answer to part (b)?
18. (a) Find the median of 4,3,5,2,6. (b) Find the median of 4,3,5,2,60.(c) What favorable property of the median is illustrated by comparing the answers to (a) and (b)?

19. The average and median weekly salaries of 86 secretaries in a company are, respectively, \$290 and \$275. (a) Compute the total weekly amount paid to the secretaries. (b) Why do the data imply that the majority of secretaries earn less than \$290 per week? (c) You and a friend do not know what one particular secretary’s salary is but can obtain this information. Prior to obtaining the actual figure, each of you names a figure, a bet IS made, and the one coming closest wins {he bet. Would you choose a figure near \$290 or near \$275? Why?

20. Compute the mode for the salaries in Table E.
21. In the last 5 years the year-to-year sales growth factors for Ahem, Inc., were 0.90, 1.20, 1.25, 1.04. and 1.38. (a) Com; .ite the geomelric mean of the growth factors. (b) Using theJgeometric mean computed in (a), what was Ahem’s averape percent change in year-to-year sales?
22. Six year-to-year percent changes ill the gross national product (GNP) were 11.2, -3.7, 13.6,17.7,17.0, and -3.8 percent. (a) Compute the six growth factors. (b) Using the geometric mean of the growth factors, determine the average year-to-year percent change in th~ GNP.

Posted on August 27, 2014 in DATA SUMMATION:Measures Of Central Treading and Variability
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