Question 1

Mean deviation is&#10;A)a relative measures&#10;B)an absolute measures&#10;C)both (a) and (b)&#10;D)none of the above

Accepted Answer

Mean deviation is considered an absolute measure of dispersion because it represents the average of the absolute differences between each data point and the mean of the dataset, without considering the direction of these differences.

Question 2

Interquartile range is the difference between&#10;A)the highest value and the lowest value&#10;B)median and mean&#10;C)the third quartile and the first quartile&#10;D)none of the above

Accepted Answer

The interquartile range is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), which represents the middle 50% of the data.

Question 3

Which of the following is least when deviations are taken from the median&#10;A)range&#10;B)quartile deviation&#10;C)mean deviation&#10;D)standard deviation

Accepted Answer

The mean deviation is least when deviations are taken from the median because the median minimizes the sum of absolute deviations. The median, by definition, is the middle value that separates the higher half from the lower half of a data set, making it the most efficient point from which to calculate the mean deviation.

Question 4

Which average is affected most by extreme observation?&#10;A)Mode&#10;B)Median&#10;C)Geometric mean&#10;D)None of the above

Accepted Answer

Median is affected most by extreme observation because it is the middle value of a data set. If an extreme value is added to a data set, the median will move towards that value.

Question 5

A geometric mean of two numbers 12 and 27 is&#10;A)9&#10;B)12&#10;C)18&#10;D)21

Accepted Answer

The geometric mean of two numbers, $a$ and $b$, is given by the square root of their product: $\sqrt{ab}$. For 12 and 27, it is $\sqrt{12 \times 27} = \sqrt{324} = 18$.

Question 6

Statistics can be best considered as&#10;A)An art&#10;B)Science&#10;C)Both art as well as science&#10;D)None of the above

Accepted Answer

Statistics is considered both an art and a science. As a science, it involves collecting, analyzing, interpreting, and presenting data. As an art, it requires creativity in designing experiments, surveys, and in the interpretation and presentation of data results.

Question 7

Lowest value of variance can be&#10;A)1&#10;B)-1&#10;C)2&#10;D)0

Accepted Answer

The lowest value of variance can be 0, which indicates that all the values in a dataset are identical. Variance measures the dispersion of a set of data points around their mean value, and a variance of 0 means there is no dispersion. Negative variance is not possible because variance is calculated as the average of the squared differences from the Mean, and squaring any real number results in a positive number or zero.

Question 8

The standard deviation and variance are _______ of origin?&#10;A)Multiplied&#10;B)Variance&#10;C)Independent&#10;D)None of the above

Accepted Answer

The standard deviation and variance are measures of dispersion in a dataset and do not depend on the origin (i.e., they are independent of any linear shift in the data).

Question 9

Statistics can be best considered as:&#10;A)a science&#10;B)an art&#10;C)both science as well as art&#10;D)neither science nor art

Accepted Answer

Statistics is considered both a science and an art. As a science, it involves collecting, analyzing, interpreting, presenting, and organizing data. As an art, it requires judgment and creativity in designing surveys, experiments, and in interpreting data results.

Question 10

Statistics is helpful in:&#10;A)formulating and testing hypothesis&#10;B)prediction&#10;C)formulation of suitable policies&#10;D)all of the above

Accepted Answer

Statistics plays a crucial role in formulating and testing hypotheses by providing methods for data analysis, in making predictions through forecasting models, and in the formulation of suitable policies by analyzing trends and patterns within data.

Question 11

A set of vertical bars whose areas are proportional to the frequencies represented is known as:&#10;A)Histogram&#10;B)Frequency polygon&#10;C)Ogive&#10;D)none of the above

Accepted Answer

The answer of A set of vertical bars whose areas...

Question 12

The value in a series of observations which occurs with the greatest frequency is called:&#10;A)median&#10;B)mean deviation&#10;C)standard deviation&#10;D)mode

Accepted Answer

The answer of The value in a series of observations...

Question 13

What is the median of the sample 5, 5, 11, 9, 8, 5, 8?&#10;A)5&#10;B)6&#10;C)8&#10;D)9

Accepted Answer

The answer of What is the median of the sample...

Question 14

Karl Pearson has expressed the relationship between Mean, Median, and Mode as:&#10;A)Mode = Mean - 3 [Mean - Median]&#10;B)Mode = 3 Median - 2 Mean&#10;C)Median = Mode + 2/3 [Mean - Mode]&#10;D)All of the above

Accepted Answer

The answer of Karl Pearson has expressed the relationship between...

Question 15

The average difference between the items in a distribution and the median or mean of that series is known as:&#10;A)Range&#10;B)Mean deviation&#10;C)Inter-quartile range&#10;D)Standard deviation

Accepted Answer

The answer of The average difference between the items in...

Question 16

If two events cannot occur simultaneously at the same trial then they are&#10;A)dependent events&#10;B)independent events&#10;C)mutually exclusive events&#10;D)simple events

Accepted Answer

The answer of If two events cannot occur simultaneously at...

Question 17

If two events A and B are independent, the probability that they will both occur is given by&#10;A)P (A) + P (B)&#10;B)P (A) x P (B)&#10;C)P (A) - P (B)&#10;D)P (A) + P (B) - P (AB)

Accepted Answer

The answer of If two events A and B are...

Question 18

Those in which the occurence or non occurence of an event in any one trial affects the probability of other event in other trial. This is known as&#10;A)dependent event&#10;B)independent event&#10;C)complementary event&#10;D)exhaustive event

Accepted Answer

The answer of Those in which the occurence or non...

Question 19

If the probability of drawing a spade from a well shuffled pack of playing card is 14 then the probability that of the card drawn from a well shuffled pack of playing card is 'not a spade' is&#10;A)1&#10;B)12&#10;C)14&#10;D)34

Accepted Answer

The answer of If the probability of drawing a spade...

Question 20

The coefficient of correlation&#10;A)has no limit&#10;B)should be less than 1&#10;C)should be more than 1&#10;D)varies between -1 and +1

Accepted Answer

The answer of The coefficient of correlation&#10;A)has no limit&#10;B)should be...

Question 21

In a box, there are 8 red,7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?&#10;A)1/3&#10;B)3/4&#10;C)7/19&#10;D)9/21

Accepted Answer

The answer of In a box, there are 8 red,7...

Question 22

Probability sampling and random sampling are&#10;A)Anonymous&#10;B)Different terms&#10;C)Synonymous&#10;D)None of the above

Accepted Answer

The answer of Probability sampling and random sampling are&#10;A)Anonymous&#10;B)Different terms&#10;C)Synonymous&#10;D)None...

Deck 7: Statistics and Probability