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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.
| 151. |
The measures used to calculate the variation present among the observations in the unit ofthe variable is called: |
| A. | Relative measures of dispersion |
| B. | Coefficient of skewness |
| C. | Absolute measures of dispersion |
| D. | Coefficient of variation |
| Answer» D. Coefficient of variation | |
| 152. |
In a moderately skewed distribution, the value of mean is 16 and that of mode is 25. |
| A. | 20 |
| B. | 19 |
| C. | 21 |
| D. | None of these |
| Answer» C. 21 | |
| 153. |
Secular trend can be measured by: |
| A. | Two methods |
| B. | Three methods |
| C. | Four methods |
| D. | Five methods |
| Answer» D. Five methods | |
| 154. |
A time series consists of: |
| A. | Short-term variations |
| B. | Irregular variations |
| C. | Long-term variations |
| D. | All of the above |
| Answer» E. | |
| 155. |
The value of a correlation is reported by a researcher to be r = −0.5. Which of the following statements is correct? |
| A. | The x-variable explains 25% of the variability in the y-variable. |
| B. | The x-variable explains −25% of the variability in the y-variable. |
| C. | The x-variable explains 50% of the variability in the y-variable. |
| D. | The x-variable explains −50% of the variability in the y-variable. |
| Answer» B. The x-variable explains −25% of the variability in the y-variable. | |
| 156. |
If the coefficient of determination is equal to 1, then the correlation coefficient : |
| A. | must also be equal to 1. |
| B. | can be either -1 or +1. |
| C. | can be any value between -1 to +1 |
| D. | must be -1 |
| Answer» C. can be any value between -1 to +1 | |
| 157. |
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 | |
| 158. |
From which average, the sum of deviations is zero? |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» B. Median | |
| 159. |
For a positively skewed distribution, mean is always: |
| A. | Less than the median |
| B. | Less than the mode |
| C. | Greater than the mode |
| D. | Difficult to tell |
| Answer» D. Difficult to tell | |
| 160. |
The degree of peaked ness or flatness of a unimodal distribution is called: |
| A. | Skewness |
| B. | Kurtosis |
| C. | Dispersion |
| D. | Normal distribution |
| Answer» C. Dispersion | |
| 161. |
Following are the Relative measures of dispersion except |
| A. | Co-efficient of Mean deviation |
| B. | Standard deviation |
| C. | Co-efficient of Range |
| D. | Co-efficient of Quartile deviation |
| Answer» C. Co-efficient of Range | |
| 162. |
In regression analysis, if the independent variable is measured in kilograms, the dependentvariable: |
| A. | must also be in kilograms |
| B. | must be in some unit of weight |
| C. | cannot be in kilograms |
| D. | can be any units |
| Answer» E. | |
| 163. |
Find the median of the set of numbers: 21, 3, 7, 17, 19, 31, 46,20 and 43. |
| A. | 19 |
| B. | 20 |
| C. | 3 |
| D. | 16 |
| Answer» C. 3 | |
| 164. |
The averages are affected by change of: |
| A. | Origin |
| B. | Scale |
| C. | Origin and Scale |
| D. | None of Above |
| Answer» D. None of Above | |
| 165. |
Which partition value divides the series into two equal parts. |
| A. | P10 |
| B. | P5 |
| C. | P50 |
| D. | P90 |
| Answer» D. P90 | |
| 166. |
In a moderately skewed distribution, the mode and median are 20 and 24 respectively. Calculate the value of mean. |
| A. | 27 |
| B. | 26 |
| C. | 25 |
| D. | 28 |
| Answer» C. 25 | |
| 167. |
The coefficient of determination must be |
| A. | between -1 and+1 |
| B. | between -1 and0 |
| C. | between 0 and 1 |
| D. | equal to SSE/(n-2) |
| Answer» B. between -1 and0 | |
| 168. |
The scatter in a series of values about the average is called: |
| A. | Central tendency |
| B. | Dispersion |
| C. | Skewness |
| D. | Symmetry |
| Answer» C. Skewness | |
| 169. |
Half of the difference between upper and lower quartiles is called: |
| A. | Interquartile range |
| B. | Quartile deviation |
| C. | Mean deviation |
| D. | Standard deviation |
| Answer» C. Mean deviation | |
| 170. |
The sum of the squares of the deviations of the variable is when taken about arithmetic mean |
| A. | Maximum |
| B. | Zero |
| C. | Minimum |
| D. | None |
| Answer» C. Minimum | |
| 171. |
The measure of dispersion which uses only two observations is called: |
| A. | Range |
| B. | Quartile deviation |
| C. | Mean deviation |
| D. | Standard deviation |
| Answer» B. Quartile deviation | |
| 172. |
Which of the following is a component of timer series; |
| A. | Secular trend |
| B. | Correlation |
| C. | Regression |
| D. | Consumer price index |
| Answer» B. Correlation | |
| 173. |
If one of the regression coefficient is greater than unity, the other must be: |
| A. | More than Unity |
| B. | Less than Unity |
| C. | Unity |
| D. | none |
| Answer» C. Unity | |
| 174. |
The mean deviation is minimum when deviations are taken from: |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» C. Mode | |
| 175. |
In regression analysis, the variable that is being predicted is the: |
| A. | Response, or dependent, variable |
| B. | Independent variable |
| C. | intervening variable |
| D. | is usually x |
| Answer» B. Independent variable | |
| 176. |
Find the mean of 13,18,13,14,13,16,14,21,13 |
| A. | 123.444 |
| B. | 125.666 |
| C. | 154 |
| D. | 132 |
| Answer» B. 125.666 | |
| 177. |
The value at the base time period serves as the standard point of comparison |
| A. | False |
| B. | True |
| C. | Both |
| D. | None |
| Answer» C. Both | |
| 178. |
………….is a point of reference in comparing various data describing individual behaviour. |
| A. | Sample |
| B. | Base period |
| C. | Estimation |
| D. | None |
| Answer» C. Estimation | |
| 179. |
If each observation of the data is increased by 5, then what happens to its mean? |
| A. | is increased by 4 |
| B. | is increased by 5 |
| C. | is decreased by 4 |
| D. | is decreased by 5 |
| Answer» C. is decreased by 4 | |
| 180. |
A Scatter diagram is considered for measuring |
| A. | Linear relationship between two variables |
| B. | Curvilinear relationship between two variables |
| C. | Neither a or b |
| D. | Both a and b |
| Answer» E. | |
| 181. |
A distribution consists of three components with total frequencies of 200, 250 and 300 having means 25, 10 and 15 respectively. Find the mean of the combined distribution. |
| A. | 17 |
| B. | 16 |
| C. | 15 |
| D. | 20 |
| Answer» C. 15 | |
| 182. |
The ratio of price of single commodity in a given period to its price in anotherperiod is called the |
| A. | base period |
| B. | price ratio |
| C. | relative price |
| D. | none |
| Answer» B. price ratio | |
| 183. |
The measures used to calculate the variation present among the observations relative to their average is called: |
| A. | Coefficient of kurtosis |
| B. | Absolute measures of dispersion |
| C. | Quartile deviation |
| D. | Relative measures of dispersion |
| Answer» E. | |
| 184. |
Factor Reversal test is satisfied by: |
| A. | Fisher’s Ideal Index |
| B. | Laspeyres Index |
| C. | Paasches Index |
| D. | None |
| Answer» B. Laspeyres Index | |
| 185. |
In regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called: |
| A. | the x-variable |
| B. | the independent variable |
| C. | the predictor variable |
| D. | the explanatory variable |
| Answer» D. the explanatory variable | |
| 186. |
Roger bowled 7 games last weekend. His scores are: 155, 165,138, 172, 127, 193, 142. What is the range of Roger's scores? |
| A. | 77 |
| B. | 66 |
| C. | 155 |
| D. | 38 |
| Answer» C. 155 | |
| 187. |
If in a discrete series 75% values are less than 30, then: |
| A. | Q3 < 75 |
| B. | Q3 < 30 |
| C. | Q3 = 30 |
| D. | Q3 >30 |
| Answer» D. Q3 >30 | |
| 188. |
Periodic movements with duration longer than a year are called |
| A. | Seasonal movements |
| B. | Cyclic movements |
| C. | Social movements |
| D. | Cultural movements |
| Answer» C. Social movements | |
| 189. |
The Correlation coefficient between two variables is the………………..of their regression coefficients. |
| A. | Arithmetic mean |
| B. | Geometric mean |
| C. | Harmonic mean |
| D. | None of these |
| Answer» C. Harmonic mean | |
| 190. |
In regression, the equation that describes how the response variable (y) is related to the explanatory variable (x) is: |
| A. | the correlation model |
| B. | the regression model |
| C. | used to compute the correlation coefficient |
| D. | None of these alternatives is correct. |
| Answer» C. used to compute the correlation coefficient | |
| 191. |
Find the median of the set = { 11,22,33,55,66,99 } |
| A. | 55 |
| B. | 44 |
| C. | 33 |
| D. | 22 |
| Answer» C. 33 | |
| 192. |
If the coefficient of determination is a positive value, then the regression equation: |
| A. | must have a positive slope |
| B. | must have a negative slope |
| C. | could have either a positive or a negative slope |
| D. | must have a positive y intercept |
| Answer» D. must have a positive y intercept | |
| 193. |
Index number for base year is always considered as------ |
| A. | 100 |
| B. | 101 |
| C. | 200 |
| D. | 201 |
| Answer» B. 101 | |
| 194. |
Which of the following is true, if there is no dispersion in a data set: |
| A. | All the mathematical and positional averages are equal. |
| B. | All the mathematical averages are equal but the positional averages are not equal |
| C. | All the mathematical averages are equal to zero |
| D. | None of these |
| Answer» B. All the mathematical averages are equal but the positional averages are not equal | |
| 195. |
The smaller the variance the less spread of the data around the mean |
| A. | True |
| B. | False |
| C. | none |
| D. | all |
| Answer» B. False | |
| 196. |
In a bivariate distribution, Spearman’s Coefficient of Correlation is -0.25. If the sum of the squares of various ranks is 150, find out the number of pairs of items: |
| A. | 10 |
| B. | 8 |
| C. | 9 |
| D. | 7 |
| Answer» D. 7 | |
| 197. |
Past data has shown that the regression line relating the final exam score and the midterm exam score for students who take statistics from a certain professor is: final exam = 50 + 0.5 × midterm One interpretation of the slope is |
| A. | a student who scored 0 on the midterm would be predicted to score 50 on the final exam. |
| B. | a student who scored 0 on the final exam would be predicted to score 50 on the midterm exam. |
| C. | a student who scored 10 points higher than another student on the midterm would be |
| D. | predicted to score 5 points higher than the other student on the final exam. students only receive half as much credit (.5) for a correct |
| Answer» B. a student who scored 0 on the final exam would be predicted to score 50 on the midterm exam. | |
| 198. |
For a symmetrical distribution: |
| A. | β1 > 0 |
| B. | β1 < 0 |
| C. | β1 = 0 |
| D. | β1 = 3 |
| Answer» D. β1 = 3 | |
| 199. |
Index no. is equal to |
| A. | sum of price relatives |
| B. | average of the price relatives |
| C. | product of price relative |
| D. | none |
| Answer» C. product of price relative | |
| 200. |
What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12, 16? |
| A. | 17 |
| B. | 16 |
| C. | 12.75 |
| D. | 12 |
| Answer» C. 12.75 | |