STA301 Assignment No 1 spring fall 25 October 2011

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[FONT=&quot]Assignment No.1 (Course STA301)[/FONT]
[FONT=&quot]Fall 2011 (Total Marks 30) [/FONT]
[FONT=&quot]
[/FONT][FONT=&quot]Deadline[/FONT][FONT=&quot]
[/FONT][FONT=&quot]Your Assignment must be uploaded/ submitted before or on28th Oct, 2011STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL)[/FONT][FONT=&quot].



[/FONT][FONT=&quot]Assignment.1 (Lessons 1-10)[/FONT][FONT=&quot]
[/FONT][FONT=&quot]Question 1:[/FONT][FONT=&quot]Marks: 5+5=10[/FONT]
[FONT=&quot]i) From the table given below, Find[/FONT]
[FONT=&quot](a) Class boundaries[/FONT]
[FONT=&quot](b) How many men fall in the age of 50 or above? [/FONT]
[FONT=&quot]© How many men fall between the age group of 60 and 69?[/FONT]


[FONT=&quot]Age Group (Men)[/FONT]
[FONT=&quot]f[/FONT]
[FONT=&quot]20-29[/FONT]
[FONT=&quot]5[/FONT]
[FONT=&quot]30-39[/FONT]
[FONT=&quot]4[/FONT]
[FONT=&quot]40-49[/FONT]
[FONT=&quot]5[/FONT]
[FONT=&quot]50-59[/FONT]
[FONT=&quot]8[/FONT]
[FONT=&quot]60-69[/FONT]
[FONT=&quot]12[/FONT]
[FONT=&quot]70-79[/FONT]
[FONT=&quot]16[/FONT]
[FONT=&quot]Total[/FONT]
[FONT=&quot]50[/FONT]
[FONT=&quot]
[/FONT][FONT=&quot](ii) [/FONT][FONT=&quot]Write down the following figure in the form of frequency table and also find the relative frequency.[/FONT]
[FONT=&quot]
[/FONT][FONT=&quot]Question 2:[/FONT][FONT=&quot]Marks: 5+5=10[/FONT]
[FONT=&quot](i) Calculate the mode from the following continuous distribution.[/FONT]


[FONT=&quot]Height[/FONT]
[FONT=&quot]Number (f)[/FONT]
[FONT=&quot]57.5-60.0[/FONT]
[FONT=&quot]6[/FONT]
[FONT=&quot]60.0-62.5[/FONT]
[FONT=&quot]26[/FONT]
[FONT=&quot]62.5-65.0[/FONT]
[FONT=&quot]190[/FONT]
[FONT=&quot]65.0-67.5[/FONT]
[FONT=&quot]281[/FONT]
[FONT=&quot]67.5-70.0[/FONT]
[FONT=&quot]412[/FONT]
[FONT=&quot]70.0-72.5[/FONT]
[FONT=&quot]127[/FONT]
[FONT=&quot]72.5-75.0[/FONT]
[FONT=&quot]38[/FONT]
[FONT=&quot]Total[/FONT]
[FONT=&quot]1080[/FONT]


[FONT=&quot](ii). Use the stem and leaf plot to answer these questions.

[/FONT]
[FONT=&quot]Statistics Test Scores[/FONT]
[FONT=&quot]Stem[/FONT]
[FONT=&quot]Leaf[/FONT]
[FONT=&quot]6[/FONT]
[FONT=&quot]1 1 4 6 7 8[/FONT]
[FONT=&quot]7[/FONT]
[FONT=&quot]2 3 5 7 9[/FONT]
[FONT=&quot]8[/FONT]
[FONT=&quot]1 3 5 6 6 7 7 8 9[/FONT]
[FONT=&quot]9[/FONT]
[FONT=&quot]0 0 3 4 6 8 9 9[/FONT]
[FONT=&quot]10[/FONT]
[FONT=&quot]0 0[/FONT]
[FONT=&quot]
[/FONT][FONT=&quot]a) What is the best test score?[/FONT]
[FONT=&quot]b) How many students take the test?[/FONT]
[FONT=&quot]c) How many students scored 90?[/FONT]
[FONT=&quot]d) What is the lowest score?[/FONT]
[FONT=&quot]e) Find the difference between the high and low scores.[/FONT]
[FONT=&quot]
[/FONT][FONT=&quot]Question 3:[/FONT][FONT=&quot]Marks: 3+3+4=10[/FONT][FONT=&quot](i) Find the median for the following discrete frequency distribution.[/FONT]


[FONT=&quot]Number of pupils per class[/FONT]
[FONT=&quot]Number of Classes[/FONT]
[FONT=&quot]20[/FONT]
[FONT=&quot]1[/FONT]
[FONT=&quot]21[/FONT]
[FONT=&quot]0[/FONT]
[FONT=&quot]22[/FONT]
[FONT=&quot]1[/FONT]
[FONT=&quot]23[/FONT]
[FONT=&quot]3[/FONT]
[FONT=&quot]24[/FONT]
[FONT=&quot]6[/FONT]
[FONT=&quot]25[/FONT]
[FONT=&quot]9[/FONT]
[FONT=&quot]26[/FONT]
[FONT=&quot]8[/FONT]
[FONT=&quot]27[/FONT]
[FONT=&quot]10[/FONT]
[FONT=&quot]28[/FONT]
[FONT=&quot]7[/FONT]
[FONT=&quot]Total[/FONT]
[FONT=&quot]45[/FONT]
[FONT=&quot]

[/FONT][FONT=&quot](ii) Calculate the weighted mean from the following data[/FONT]
[FONT=&quot]Item[/FONT]
[FONT=&quot]Expenditure[/FONT]
[FONT=&quot]Weights[/FONT]
[FONT=&quot]Food[/FONT]
[FONT=&quot]290[/FONT]
[FONT=&quot]7.5[/FONT]
[FONT=&quot]Rent[/FONT]
[FONT=&quot]54[/FONT]
[FONT=&quot]2.0[/FONT]
[FONT=&quot]Clothing[/FONT]
[FONT=&quot]98[/FONT]
[FONT=&quot]1.5[/FONT]
[FONT=&quot]Fuel and light[/FONT]
[FONT=&quot]75[/FONT]
[FONT=&quot]1.0[/FONT]
[FONT=&quot]Other items[/FONT]
[FONT=&quot]75[/FONT]
[FONT=&quot]0.5[/FONT]
[FONT=&quot]
[/FONT][FONT=&quot](iii) A man gets a rise of 10% in salary at the end of his first year of service and further of 20 % and 25 % at the end of the second and third year respectively. The rise in each case is calculated on his salary at the beginning of the year. To what annual percentage increase is this equivalent?[/FONT]


solution will be uploaded soon