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MCQOPTIONS
This section includes 294 Mcqs, each offering curated multiple-choice questions to sharpen your Business Statistics knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
In a mesokurtic or normal distribution, µ4 = 243. The standard deviation is: |
| A. | 81 |
| B. | 27 |
| C. | 9 |
| D. | 3 |
| Answer» E. | |
| 102. |
In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to: |
| A. | 5 |
| B. | 15 |
| C. | 20 |
| D. | 25 |
| Answer» E. | |
| 103. |
The degree of peaked ness or flatness of a unimodel distribution is called: |
| A. | Skewness |
| B. | Symmetry |
| C. | Dispersion |
| D. | Kurtosis |
| Answer» E. | |
| 104. |
Which of the following is an absolute measure of dispersion? |
| A. | Coefficient of variation |
| B. | Coefficient of dispersion |
| C. | Standard deviation |
| D. | Coefficient of skewness |
| Answer» D. Coefficient of skewness | |
| 105. |
The general purchasing power of the currency of a country is determined by: |
| A. | Retail price index |
| B. | Volume index |
| C. | Composite index |
| D. | Whole-sale price index |
| Answer» E. | |
| 106. |
The median of the data 13, 15, 16, 17, 19, 20 is: |
| A. | 30/2 |
| B. | 31/2 |
| C. | 33/2 |
| D. | 35/2 |
| Answer» D. 35/2 | |
| 107. |
The strength (degree) of the correlation between a set of independent variables X and a dependent variable Y is measured by |
| A. | Coefficient of Correlation |
| B. | Coefficient of Determination |
| C. | Standard error of estimate |
| D. | All of the above |
| Answer» E. | |
| 108. |
if the mean is 11 and the median is13 then the value of mode is |
| A. | 15 |
| B. | 13 |
| C. | 11 |
| D. | 17 |
| Answer» E. | |
| 109. |
The degree to which numerical data tend to spread about an average value called: |
| A. | Constant |
| B. | Flatness |
| C. | Variation |
| D. | Skewness |
| Answer» D. Skewness | |
| 110. |
What is the purpose of a simple linear regression? |
| A. | To predict scores on a dependent variable from scores on a single independent variable |
| B. | To predict scores on an independent variable from scores on multiple dependent variables |
| C. | To predict scores on a dependent variable from scores on multiple independent variables |
| D. | None of Above |
| Answer» B. To predict scores on an independent variable from scores on multiple dependent variables | |
| 111. |
The mean weight of 150 students in a class is 60 Kg. The mean weight of Boy students is 70 Kg and that of a girl students is 55 kg. Find the number of Boys and Girls in the class. |
| A. | 50 and 100 |
| B. | 100 and 50 |
| C. | 150 and 200 |
| D. | 200 and 150 |
| Answer» B. 100 and 50 | |
| 112. |
Index no. for the base period is always taken as |
| A. | 200 |
| B. | 50 |
| C. | 1 |
| D. | 100 |
| Answer» E. | |
| 113. |
For a distribution of data, if the arithmetic mean> median>mode, then which of the following is true? |
| A. | The distribution is symmetrical |
| B. | The distribution is positively skewed |
| C. | The distribution is negatively skewed |
| D. | None of these |
| Answer» C. The distribution is negatively skewed | |
| 114. |
Bowley's coefficient of skewness lies between: |
| A. | 0 and 1 |
| B. | 1 and +1 |
| C. | -1 and 0 |
| D. | -2 and +2 |
| Answer» C. -1 and 0 | |
| 115. |
In a moderately skewed distribution, the value of mode is 120 and that of median is 140. Find the value of arithmetic mean. |
| A. | 150 |
| B. | 160 |
| C. | 170 |
| D. | 180 |
| Answer» B. 160 | |
| 116. |
The coefficient of variation cannot be meaningfully used to compare the variability of two or more sets of data, when |
| A. | The standard deviation is zero for one or more sets of data |
| B. | The standard deviation is 1 for one or more sets of data |
| C. | The mean is zero for one or more sets of data |
| D. | The mean is 1 for one or more sets of data |
| Answer» D. The mean is 1 for one or more sets of data | |
| 117. |
In quality control of manufactured items, the most common measure of dispersion is: |
| A. | Range |
| B. | Average deviation |
| C. | Standard deviation |
| D. | Quartile deviation |
| Answer» B. Average deviation | |
| 118. |
The measures of dispersion can never be: |
| A. | Positive |
| B. | Negative |
| C. | Zero |
| D. | equal to 2 |
| Answer» C. Zero | |
| 119. |
The value of the correlation coefficient lies between |
| A. | -1 and +1 |
| B. | -1 and 0 |
| C. | 0 and 1 |
| D. | None |
| Answer» B. -1 and 0 | |
| 120. |
The first three moments of a distribution about the mean are 1, 4 and 0. The distribution is: |
| A. | Symmetrical |
| B. | Skewed to the left |
| C. | Skewed to the right |
| D. | Normal |
| Answer» B. Skewed to the left | |
| 121. |
The sum of absolute deviations is minimum when taken from: |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» C. Mode | |
| 122. |
In the class intervals 40 – 50, 50 – 60, the number 50 is included in which of the following? |
| A. | 40 – 50 |
| B. | 30 – 40 |
| C. | 50 – 60 |
| D. | 60 – 70 |
| Answer» D. 60 – 70 | |
| 123. |
Relationship between correlation coefficient and coefficient of determination is that |
| A. | both are unrelated |
| B. | The coefficient of determination is the coefficient of correlation squared |
| C. | The coefficient of determination is the square root of the coefficient of correlation |
| D. | both are equal |
| Answer» C. The coefficient of determination is the square root of the coefficient of correlation | |
| 124. |
The cumulative frequency for a particular class is equal to 35. The cumulative frequency for the next class will be . |
| A. | equal to 65. |
| B. | 35 minus the next class frequency. |
| C. | less than 35. |
| D. | 35 plus the next class frequency. |
| Answer» C. less than 35. | |
| 125. |
If all the points of a scatter diagram lie on a straight line falling from left upper corner to the right bottom corner, the correlation is called................... |
| A. | Zero correlation |
| B. | High degree of positive correlation |
| C. | Perfect negative correlation |
| D. | Perfect positive correlation |
| Answer» D. Perfect positive correlation | |
| 126. |
The makes index nos. time-reversible |
| A. | A.M |
| B. | G.M. |
| C. | H.M |
| D. | None |
| Answer» C. H.M | |
| 127. |
If one of the regression coefficients is greater than unity, the other must be: |
| A. | More than Unity |
| B. | Less than Unity |
| C. | Unity |
| D. | all |
| Answer» C. Unity | |
| 128. |
If the quartile range is 24 then the quartile deviation is: |
| A. | 48 |
| B. | 12 |
| C. | 24 |
| D. | 72 |
| Answer» C. 24 | |
| 129. |
Which of the following can’t be a component for a time series plot? |
| A. | Seasonality |
| B. | Trend |
| Answer» F. | |
| 130. |
Value of b in the trend line Y = a + bX is: |
| A. | Always positive |
| B. | Always negative |
| C. | Both positive or negative |
| D. | None of these |
| Answer» D. None of these | |
| 131. |
Weighted G.M. of relative formula satisfy test |
| A. | Time Reversal Test |
| B. | Circular test |
| C. | Factor Reversal Test |
| D. | None |
| Answer» B. Circular test | |
| 132. |
In a moderately skewed distribution, the following equation indicates the relationship among mean, median and mode: |
| A. | Mean = 2 Mode - 3 Median |
| B. | Mode = 3 Median – 2 Mean |
| C. | Median = 3 Mean – 2 Mode |
| D. | None of these |
| Answer» C. Median = 3 Mean – 2 Mode | |
| 133. |
The rank correlation coefficient of a debating contest involving 10 participants was calculated as 0.6. However, it was later discovered that the difference in the ranks of some participants was read as 8 instead of 3. Find the correct correlation coefficient: |
| A. | 0.933 |
| B. | 0.652 |
| C. | 0.854 |
| D. | 0.751 |
| Answer» B. 0.652 | |
| 134. |
If the sum of deviations from median is not zero, then a distribution will be: |
| A. | Symmetrical |
| B. | Skewed |
| C. | Normal |
| D. | All of the above |
| Answer» C. Normal | |
| 135. |
. The average salary of a group of unskilled workers is 10,000 and for a group of skilled workers is 15,000. Combines salary is 12,000. What is the percent of skilled workers? |
| A. | 40% |
| B. | 50% |
| C. | 60% |
| D. | None of these |
| Answer» B. 50% | |
| 136. |
Find the median of the set of numbers: 100, 200, 450, 29, 1029,300 and 2001. |
| A. | 300 |
| B. | 29 |
| C. | 7 |
| D. | 4080 |
| Answer» B. 29 | |
| 137. |
The percent of the total variation of the dependent variable Y explained by the set of independent variables X is measured by: |
| A. | Coefficient of Correlation |
| B. | Coefficient of Skewness |
| C. | Coefficient of Determination |
| D. | Standard error |
| Answer» D. Standard error | |
| 138. |
Find the mode of the set (8, 5, 7, 10, 15, 21, 5, 7, 2, 5) |
| A. | 15 |
| B. | 21 |
| C. | 7 |
| D. | 5 |
| Answer» E. | |
| 139. |
In the regression equation Y = 75.65 + 0.50X, the intercept is |
| A. | 75.65 |
| B. | 0.5 |
| C. | 1 |
| D. | intereminable |
| Answer» B. 0.5 | |
| 140. |
Index number is a special type of ---------- |
| A. | Average |
| B. | dispersion |
| C. | correlation |
| D. | none of the above |
| Answer» B. dispersion | |
| 141. |
Index number calculated by Fisher's formula is ideal because it satisfy: |
| A. | Circular test |
| B. | Factor reversal test |
| C. | All of the above |
| Answer» E. | |
| 142. |
The standard deviation is independent of: |
| A. | Change of scale |
| B. | Change of origin |
| C. | Change of origin and scale |
| D. | None of these |
| Answer» C. Change of origin and scale | |
| 143. |
how many types of series are there |
| A. | 3 |
| B. | 2 |
| C. | 5 |
| D. | 4 |
| Answer» B. 2 | |
| 144. |
A measure of is a single value that attempts to describea set of data by identifying the central position within that set of |
| A. | Central Tendency |
| B. | Mean |
| C. | Median |
| D. | Mode |
| Answer» B. Mean | |
| 145. |
The mean of a sample is |
| A. | always equal to the mean of the population |
| B. | always smaller than the mean of the population |
| C. | computed by summing the data values and dividing the sum by (n - 1) |
| D. | computed by summing all the data values and dividing the sum by the number of items |
| Answer» E. | |
| 146. |
Standard deviation is always computed from |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | geometric mean |
| Answer» B. Median | |
| 147. |
The arithmetic mean of the marks obtained by 50 students was calculated as 44. It was later discovered that a score of 36 was misread as 56. Find the correct value of arithmetic mean of the marks obtained by the students. |
| A. | 43 |
| B. | 43.6 |
| C. | 45 |
| D. | 50 |
| Answer» C. 45 | |
| 148. |
The maximum value of the Rank Correlation coefficient is |
| A. | +1 |
| B. | -1 |
| C. | None of these |
| Answer» B. -1 | |
| 149. |
If two variables, x and y, have a very strong linear relationship, then: |
| A. | there is evidence that x causes a change in y |
| B. | there is evidence that y causes a change in x |
| C. | there might not be any causal relationship between x and y |
| D. | None of these alternatives is correct. |
| Answer» B. there is evidence that y causes a change in x | |
| 150. |
While computing a weighted index, the current period quantities are used in the: |
| A. | Laspeyre's method |
| B. | Paasche's method |
| C. | Marshall Edgeworth method |
| D. | Fisher's ideal method |
| Answer» C. Marshall Edgeworth method | |