Measures Of Dispersion CBSE Questions & Answers

Measures Of Dispersion

This is Economics Class 11 Measures of Dispersion CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The standard deviation of ungrouped data can be calculated by:
  • A
    Taking the square root of the variance
    Correct
  • B
    \(\sqrt {\frac{{\sum\limits_{i - 1}^n {\left( {Xi - \overline X } \right)} }}{n}} \)
  • C
    None of these
  • D
    Both of these
2
A measure of relative dispersion is given by the:
  • A
    Co-efficient of variance
    Correct
  • B
    Standard deviation
  • C
    Quartile deviation
  • D
    Variance
3
The heights in cm of a group of first year biology students were recorded. The variance of these heights was subsequently calculated. The unit of measurement for this variance is:
  • A
    \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • B
    m
  • C
    \({{\text{m}}^{\text{2}}}\)
  • D
    cm
4
The number of protozoa seen under 5 separate microscope slides were 3,4,5,6 and 7. The sum of squared deviations of observations from their sample mean is:
  • A
    0
  • B
    10.0
    Correct
  • C
    1000
  • D
    100
5
What would happen to the variance of a data set if we added 5 to every observation?
  • A
    Variance increased by 5
  • B
    No Change
    Correct
  • C
    Variance decrease by 5
  • D
    Variance decrease by 10
6
What would happen to the variance of a data set if we multiplied every observation by 5?
  • A
    Variance decreased by 25
  • B
    Variance decreased by 25
  • C
    Variance increased by 55
  • D
    Variance increased by 25
    Correct
7
While drawing Lorenz curve zero of X-axis and 100 on Y-axis are joined by a line. This line is known as
  • A
    Line of unemployment
  • B
    Line of income
  • C
    None
  • D
    Line of equal distributions
    Correct
8
The _______________ is the easiest measure of dispersion to calculate.
  • A
    Standard Deviation
  • B
    Range
    Correct
  • C
    Mean absolute deviation
  • D
    Variance
9
Which information is false regarding Lorenz curve
  • A
    The Lorenz curve devised by Dr. Max O. Lorenz is a graphic method of studying dispersion.
  • B
    Used this technique to show employment of a group of people
    Correct
  • C
    The Lorenz curve always lies below the line of equal distribution, unless the distribution is uniform
  • D
    The Area between the line of equal distribution and the plotted curve gives the extent of inequality in the items. The larger the area, more is the inequality
10
In case of open-ended classes, an appropriate measure of dispersion to be used is
  • A
    Range
  • B
    Standard Deviation
  • C
    Quartile Deviation
    Correct
  • D
    Variance
11
When should measures of location and dispersion be computed from grouped data rather than from individual data values?
  • A
    Whenever computer packages for descriptive statistics are unavailable
  • B
    As much as possible since computations are easier
  • C
    Only when the data are from a population
  • D
    Only when individual data values are unavailable
    Correct
12
The descriptive measure of dispersion that is based on the concept of a deviation about the mean is
  • A
    The absolute value of the range
  • B
    Range
  • C
    Standard Deviation
    Correct
  • D
    Inter quartile range
13
The numerical value of the standard deviation can never be
  • A
    Negative
    Correct
  • B
    None
  • C
    Larger than the variance
  • D
    Zero
14
The variance can never be
  • A
    larger than the standard deviation
  • B
    Negative
    Correct
  • C
    Smaller than the standard deviation
  • D
    Zero
15
Which of the following symbols represents the standard deviation of the population?
  • A
    \({\sigma ^{\text{2}}}\)
  • B
    \(\mu \)
  • C
    \(\sigma \)
    Correct
  • D
    \(\overline x \)