Question

Consider the following statements.

1. Mode can be computed from histogram

2. Median is not independent of the change of scale

3. Variance is independent of the change of origin and scale

Which of these is/are correct?

1. Only (1) and (2)
2. Only (1)
3. All (1), (2) and (3)
4. Only (2)

Answer 1

Correct Answer - Option 1 : Only (1) and (2)

The correct answer is Only (1) and (2).

• The mode is the most frequently occurring observation or value.
  • The mode can be computed by the histogram. Hence, statement 1 is correct.
• The median is the middle value in the list of numbers.
  • Median will be changed if data's are changed. Hence, statement 2 is correct. 
• The variance is a measure of variability and is calculated by taking the average of squared deviations from the mean.
  • The variance depends on the change of scale. Hence, statement 3 is not correct.