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Measures of Central tendency Princy
HW 1 <ul><li>Soccer tournament at Mount Rival I </li></ul><ul><li>Mount  Rival hosts a soccer tournament each year. This s...
Hw.2 The following table lists the number of people killed in traffic accidents over a 10 year period. During this time pe...
HW 3 In an office there are 84 employees. Their salaries are given Below 1.Find the mean salary of the employees  2.What i...
HW 4 <ul><li>The Calculate arithmetic mean of the weight of ten students in a class  </li></ul>
HW 5 <ul><li>Find the missing frequency from the following data </li></ul><ul><li>The average mark is 16.82 </li></ul><ul>...
Hw 6 <ul><li>In  the frequency distribution of 100 families given below the number of families corresponding to the expend...
Median
Homework 1 <ul><li>Find the median from the following data  </li></ul><ul><li>size  5 10 15 20 25 30 35 </li></ul><ul><li>...
Home work 2 <ul><li>Find the median from the following data </li></ul><ul><li>Marks  </li></ul><ul><li>Obtained  0-10 10-2...
Home work 3 <ul><li>Calculate the median from the following distribution </li></ul><ul><li>Value Frequency </li></ul><ul><...
Part 3 Mode Module 2
Home work  <ul><li>Find the mode from the following data by grouping Method </li></ul><ul><li>Class interval f </li></ul><...
HW 2 <ul><li>Compute the mode </li></ul><ul><li>Class  0-10 10-20 20-30 30-40 40-50  50-60 60-70 </li></ul><ul><li>Freq   ...
Harmonic Mean Princy
Home work 1 <ul><li>A man having to drive 90 miles wishes to achieve an average speed of 30 miles per hour. For the first ...
Home work 2 <ul><li>A train goes at a speed of 20 miles per hour for the first 16 miles,  at a  speed of 40 miles per hour...
Home work 3 <ul><li>An aero plane flies along the 4 sides of a square  at a  speed of 100,200,300,400 miles/hr respectivel...
Geometric Mean Part -4
Home work-1 <ul><li>Find the average rate of increase in population which in the first decade had increase by 20%, in the ...
Home work-2 <ul><li>Find the Geometric mean from the following distribution </li></ul><ul><li>Marks No of students </li></...
Home work-3 <ul><ul><li>Find the geometric mean of the following series </li></ul></ul><ul><ul><li>Marks No of students </...
Home work-4 <ul><li>The Geometric mean of 10 observations on a certain variable  was calculated as 16.2.It was later disco...
Homework -5 <ul><li>The annual rates of growth of output of a factory in 5 years are 5%,7.5%,2.5%, 5% and 10% respectively...
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Questions

  1. 1. Measures of Central tendency Princy
  2. 2. HW 1 <ul><li>Soccer tournament at Mount Rival I </li></ul><ul><li>Mount Rival hosts a soccer tournament each year. This season, in 10 games, the lead scorer for the home team scored 7, 5, 0, 7, 8, 5, 5, 4, 1 and 5 goals. What was the mean score? </li></ul>
  3. 3. Hw.2 The following table lists the number of people killed in traffic accidents over a 10 year period. During this time period, what was the average number of people killed per year? How many people died each day on average in traffic accidents during this time period? Table 1. Number of fatalities in traffic accidents Year Fatalities 1 959 2 1,037 3 960 4 797 5 663 6 652 7 560 8 619 9 623 10 583
  4. 4. HW 3 In an office there are 84 employees. Their salaries are given Below 1.Find the mean salary of the employees 2.What is the total salary of the employees
  5. 5. HW 4 <ul><li>The Calculate arithmetic mean of the weight of ten students in a class </li></ul>
  6. 6. HW 5 <ul><li>Find the missing frequency from the following data </li></ul><ul><li>The average mark is 16.82 </li></ul><ul><li>Ans: x = 18 </li></ul>
  7. 7. Hw 6 <ul><li>In the frequency distribution of 100 families given below the number of families corresponding to the expenditure groups and 60-80 are missing from the table.However the mean of the distribution is known to be 50.Find the missing frequencies </li></ul>
  8. 8. Median
  9. 9. Homework 1 <ul><li>Find the median from the following data </li></ul><ul><li>size 5 10 15 20 25 30 35 </li></ul><ul><li>C.Freq 1 3 13 17 27 36 38 </li></ul>
  10. 10. Home work 2 <ul><li>Find the median from the following data </li></ul><ul><li>Marks </li></ul><ul><li>Obtained 0-10 10-20 20-30 30-40 40-50 50-60 </li></ul><ul><li>No of 12 18 27 20 17 6 </li></ul><ul><li>Students </li></ul>
  11. 11. Home work 3 <ul><li>Calculate the median from the following distribution </li></ul><ul><li>Value Frequency </li></ul><ul><li>Less than 100 50 </li></ul><ul><li>100-200 90 </li></ul><ul><li>200-300 158 </li></ul><ul><li>300-400 68 </li></ul><ul><li>400 and Above 134 </li></ul>
  12. 12. Part 3 Mode Module 2
  13. 13. Home work <ul><li>Find the mode from the following data by grouping Method </li></ul><ul><li>Class interval f </li></ul><ul><li>40-50 5 </li></ul><ul><li>50-60 4 </li></ul><ul><li>60-70 5 </li></ul><ul><li>70-80 1 </li></ul>
  14. 14. HW 2 <ul><li>Compute the mode </li></ul><ul><li>Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70 </li></ul><ul><li>Freq 8 12 20 23 18 7 2 </li></ul>
  15. 15. Harmonic Mean Princy
  16. 16. Home work 1 <ul><li>A man having to drive 90 miles wishes to achieve an average speed of 30 miles per hour. For the first half of the journey he averages only 20mph. What must be his average speed for the second half of the journey if his overall average speed is to be 30mph. </li></ul>
  17. 17. Home work 2 <ul><li>A train goes at a speed of 20 miles per hour for the first 16 miles, at a speed of 40 miles per hour for 20 miles. It covers 10 miles at a speed of 15 miles per hour. Find out its average speed? </li></ul>
  18. 18. Home work 3 <ul><li>An aero plane flies along the 4 sides of a square at a speed of 100,200,300,400 miles/hr respectively.What is the average speed of the plane in its flight around the square. </li></ul>
  19. 19. Geometric Mean Part -4
  20. 20. Home work-1 <ul><li>Find the average rate of increase in population which in the first decade had increase by 20%, in the next by 30% and in the third by 40%. </li></ul>
  21. 21. Home work-2 <ul><li>Find the Geometric mean from the following distribution </li></ul><ul><li>Marks No of students </li></ul><ul><li>0-10 5 </li></ul><ul><li>10-20 7 </li></ul><ul><li>20-30 15 </li></ul><ul><li>30-40 25 </li></ul><ul><li>40-50 8 </li></ul><ul><li>ans25.64 </li></ul>
  22. 22. Home work-3 <ul><ul><li>Find the geometric mean of the following series </li></ul></ul><ul><ul><li>Marks No of students </li></ul></ul><ul><ul><li>0-10 4 </li></ul></ul><ul><ul><li>10-20 7 </li></ul></ul><ul><ul><li>20-30 13 </li></ul></ul><ul><ul><li>30-40 21 </li></ul></ul><ul><ul><li>40-50 15 </li></ul></ul><ul><ul><li>50-60 25 </li></ul></ul><ul><ul><li>60-70 20 </li></ul></ul>
  23. 23. Home work-4 <ul><li>The Geometric mean of 10 observations on a certain variable was calculated as 16.2.It was later discovered that one of the observations was wrongly recorded as 12.9.in fact it was 21.9. Apply appropriate correction and calculate the correct geometric mean </li></ul>
  24. 24. Homework -5 <ul><li>The annual rates of growth of output of a factory in 5 years are 5%,7.5%,2.5%, 5% and 10% respectively.What is the compound rate of growth per annum for the period? </li></ul>

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