Statistics assignment question 1

Assignment-2

1. Calculate the quartile deviation and its coefficient from the following data:

2.

3.

4. Compute the mean deviation about the mean from the following distribution of the scores of 50 college students:

5. For a group of 20 items, ∑𝑋 = 1452 and ∑𝑋² = 144280. Find the standard deviation and coefficient of variation.
6. Determine the standard deviation and coefficient of variation from the following data.

7. (a) The standard deviation of a set of 50 items if 6.5. Find the standard deviation, if every item is increased by 5.
   • Find the coefficient of variation, if the sum of the squares of the deviations of 10 observations taken from the mean 50 is 250.
   • The standard deviation of a set of 50 items is 8. Find the standard deviation, if each item is multiplied by 2.

Measure of Dispersion

8. During the 10 weeks of a session, the marks obtained by two candidates, Ramesh and Suresh, taking the Computer Programme are given below:

• Who is better scorer- Ramesh or Suresh?
• Who is more consistent?

9. The following table gives heights of boys and girls in a college:

• Find standard deviation of the heights of boys and girls taken together.
• Whose heights are more variable?

10. If standard deviation is 18.5, Calculate quartile deviation and mean deviation.

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