Answer Happy

3.1 Nineteen people were asked how many miles, to the nearest mile, they commute to work each day. The data are as follows: 2; 5; 7; 3; 2; 10; 18; 15; 20; 7; 10; 18; 5; 12; 13; 12; 4; 5; 10. Table below was produced: DATA FREQUENCY RELATIVE FRQUENCY CUMULATIVE RELATIVEF REQUENCY 0.1579 0.2105 0.1579 0.2632 3457 7 10 12 13 3 1 3 2 3 NW NW- 15 18 20 1 3/19 1/19 3/19 2/19 4/19 2/19 1/19 1/19 1/19 1/19 0.4737 0.7895 0.8421 0.8948 0.9474 1.0000 a. Is the table correct? If it is not correct, what is wrong? (3) b. True or False: Three percent of the people surveyed commute three miles. If the statement is not correct, what should it be? If the table is incorrect, make the corrections. (5) (3) c. What fraction of the people surveyed commute five or seven miles? d. What fraction of the people surveyed commute 12 miles or more? Less than 12 miles? Between five and 13 miles (not including five and 13 miles)? (3)
In a work study investigation, the times taken by 20 men in a firm to do a particular job were tabulated as follows: Time taken 8-10 in minutes Frequencies 2 11-13 14-16 4 a. Calculate the arithmetic mean. b. Calculate the median and 65th percentile. c. Calculate the mode 6 17-19 5 d. Calculate the quartile deviation. e. Construct both histogram and polygon on the same graph. f. Comment on the shape of the distribution. 20-22 2 23-25 1 (3) (10) (1)