Statistics and Probability MCQs | STA301 MCQs | Set 2
Statistics and Probability MCQs | STA301 MCQs | Set 2
MCQs (Multiple Choice Questions)
1) If X and Y are independent variables then Var (X - Y) = _______
a) Var(X) - Var(Y)
b) Var(X) + Var(Y)
c) Var(X - Y)
d) Var(X) `\times` Var(Y)
Correct Answer:
The correct answer is 'a'.
Explanation:
If X and Y are independent variables then Var (X - Y) = Var(X) - Var(Y)
______________________________
2) Rang measures the dispersion around the _______.
a) Extreme values
b) Minimum values
c) Maximum values
d) Mid-range values
Correct Answer:
The correct answer is 'a'.
Explanation:
Range measures the dispersion around the extreme values.
______________________________
3) The variable plotted on the horizontal or X-axis in a scatter diagram is called the:
a) Scatter Variable
b) Independent Variable
c) Dependent Variable
d) Correlation Variable
Correct Answer:
The correct answer is 'b'.
Explanation:
The variable plotted on the horizontal or X-axis in a scatter diagram is called the independent variable.
______________________________
4) In a scatter diagram we plot:
a) X and Y
b) X and `\hatY`
c) X and `\hatY`
d) `\hatY` and X
Correct Answer:
The correct answer is 'a'.
Explanation:
In a scatter diagram, we plot the variables X and Y.
______________________________
5) If `P(A \cap B) = P(A|B) \times P(B)` then A and B will be:
a) Independent
b) Mutually Exclusive
c) Dependent
d) Equally Likely
Correct Answer:
The correct answer is 'a'.
Explanation:
If `P(A \cap B) = P(A|B) \times P(B)`, then A and B are statistically independent events.
______________________________
6) Which one of the following is the class frequency?
a) The number of observations in each class
b) The difference between consecutive lower class limits
c) Always contains at least 5 observations
d) Usually a multiple of the lower limit of the first class.
Correct Answer:
The correct answer is 'a'.
Explanation:
The class frequency refers to the number of observations or occurrences within a particular class or category in a data set.
______________________________
7) How to convert a frequency distribution to a relative frequency distribution?
a) Find the difference between consecutive lower class limits
b) Find the difference between consecutive lower limits
c) Count the number of observations in the class
d) Divide the class frequency by the total number of observations
Correct Answer:
The correct answer is 'd'.
Explanation:
To convert a frequency distribution to a relative frequency distribution, you divide the class frequency by the total number of observations.
______________________________
8) In statistics, we deal with:
a) Individuals
b) Isolated items
c) Aggregates of facts
d) Qualitative data
Correct Answer:
The correct answer is 'c'.
Explanation:
In statistics, we deal with aggregates of facts.
______________________________
9) Pie chart consists of:
a) A rectangular
b) A triangle
c) A square
d) A circle
Correct Answer:
The correct answer is 'd'.
Explanation:
A pie chart is a circular statistical graphic that is divided into slices to represent different categories or proportions of a whole. Each slice of the pie chart represents a specific category or data point, and the size of the slice corresponds to the proportion or percentage it represents.
______________________________
10) When `Q_1` = 2 and `Q_3` = 4, what is the value of Median, if the distribution is symmetrical:
a) 1
b) 2
c) 3
d) 4
Correct Answer:
The correct answer is 'c'.
Explanation:
If the distribution is symmetrical and `Q_1` (the first quartile) is 2 and `Q_3` (the third quartile) is 4, then the value of the median (also known as the second quartile,` Q_2)` would be the average of `Q_1` and `Q_3`.
Therefore, the value of the median would be:
(`Q_1` + `Q_3`) / 2 = (2 + 4) / 2 = 6 / 2 = 3.
____________________________
No comments