Arithmetic, harmonic and geometric means

STA 111. Practice questions, not past papers.

Lessons

• Arithmetic and weighted means
• Harmonic and geometric means

Practice questions

1. For grouped frequency data, the estimated mean uses what as each class value?

   Statistics study edition practice item Q033; Source: T18-21

2. Which mean is suited to speeds over equal distances?

   Statistics study edition practice item Q034; Source: T18-21

3. Which statement holds for positive observations?

   Statistics study edition practice item Q035; Source: T18-21

4. Adding 5 to every observation has what effect on the arithmetic mean?

   Statistics study edition practice item Q036; Source: T18-21

5. Find the arithmetic mean of 3, 7, 4, 8, 5, 10. Give the value to 4 decimal places.

   Statistics study edition practice item Q037; Source: T18-19

6. Find the arithmetic mean of 2, 3, 3, 4, 28. Give the value to 4 decimal places.

   Statistics study edition practice item Q038; Source: T18-19

7. Find the arithmetic mean of 4, 8, 12, 16. Give the value to 4 decimal places.

   Statistics study edition practice item Q039; Source: T18-19

8. Use x=0,1,2,3,4,5,6,7,8 with f=4,3,2,5,2,2,1,3,2 from T18. What is the checked mean? Give the value to 4 decimal places.

   Statistics study edition practice item Q040; Source: T18-19

9. A vehicle covers two equal distances at speeds 30 and 60. Find the average speed. Give the value to 4 decimal places.

   Statistics study edition practice item Q041; Source: T20

10. A vehicle covers two equal distances at speeds 40 and 80. Find the average speed. Give the value to 4 decimal places.

    Statistics study edition practice item Q042; Source: T20

Topic gap report