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MCQOPTIONS
This section includes 594 Mcqs, each offering curated multiple-choice questions to sharpen your SSC CGL knowledge and support exam preparation. Choose a topic below to get started.
| 551. |
If the mean deviation of the numbers 1, 1 + d, 1 + 2d, ....., 1 + 100d from their mean is 255, then the value of d is |
| A. | 20.0 |
| B. | 10.1 |
| C. | 20.2 |
| D. | 10.0 |
| Answer» C. 20.2 | |
| 552. |
If V is the variance and M is the mean of first 15 natural numbers, then what is V + M2 equal to? |
| A. | \(\frac{{124}}{3}\) |
| B. | \(\frac{{148}}{3}\) |
| C. | \(\frac{{248}}{3}\) |
| D. | \(\frac{{124}}{9}\) |
| Answer» D. \(\frac{{124}}{9}\) | |
| 553. |
If the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance? |
| A. | 2025 |
| B. | 450 |
| C. | 45 |
| D. | 4.5 |
| Answer» B. 450 | |
| 554. |
Consider the following statements:1) The sum of deviations from mean is always zero.2) The sum of absolute deviations is minimum when taken around median.Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» D. Neither 1 nor 2 | |
| 555. |
A set of data is as under: 4, 2, 3, 2, 7, 4, 8, 5, 2, 4, 5, 6, 2, 5, 6, 6, 5, 4, 6, 5, 3, 5, 4, 3What is the mode of the set? |
| A. | 2 |
| B. | 5 |
| C. | 6 |
| D. | 4 |
| Answer» C. 6 | |
| 556. |
For which value of x will the mode of the following numbers be 27?26, 25, 27, 23, 27, 26, 24, x, 27, 26, 25, 25 |
| A. | 26 |
| B. | 27 |
| C. | 24 |
| D. | 25 |
| Answer» C. 24 | |
| 557. |
If computers and monitors are set in ‘sleep’ mode when not in use, the energy cost is reduced approximately by: |
| A. | 25 percent |
| B. | 45 percent |
| C. | 30 percent |
| D. | 40 percent |
| Answer» E. | |
| 558. |
Let x̅1 and x̅2 (where x̅2 > x̅1) be the means of two sets comprising n1 and n2 (wheren2 < n1) observations respectively. If x̅ is the mean when they are pooled, then which one of the following is correct? |
| A. | x̅1 < x̅ < x̅2 |
| B. | x̅ > x̅2 |
| C. | x̅ < x̅1 |
| D. | (x̅1 – x̅) + (x̅2 – x̅) = 0 |
| Answer» B. x̅ > x̅2 | |
| 559. |
Find the mean of the first 10 natural numbers.A. 6.5B. 5.5C. 7.5D. 8.5 |
| A. | B |
| B. | C |
| C. | A |
| D. | D |
| Answer» B. C | |
| 560. |
Consider the following discrete frequency distribution:x12345678f31545575036259 What is the value of median of the distribution? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» C. 6 | |
| 561. |
a and b are two numbers such that their mean proportion is 6 and third proportion is 48. What is the value of a and b? |
| A. | 6, 6 |
| B. | 3, 6 |
| C. | 6, 12 |
| D. | 3, 12 |
| Answer» E. | |
| 562. |
Find the mode, if mean and median are 4 and 5 respectively. |
| A. | 5 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» C. 8 | |
| 563. |
If 4x – 5y + 33 = 0 and 20x – 9y = 107 are two lines of regression, then what are the values of x̅ and y̅ respectively? |
| A. | 12 and 18 |
| B. | 18 and 12 |
| C. | 13 and 17 |
| D. | 17 and 13 |
| Answer» D. 17 and 13 | |
| 564. |
Diagrammatic representation of data includes which of the following?1. Bar diagram2. Pie-diagram3. PictogramSelect the correct answer using the code given below: |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1 and 3 only |
| D. | 1, 2 and 3 |
| Answer» B. 2 and 3 only | |
| 565. |
If the mean deviation 1, 1 + d, 1 + 2d, ..., 1 + 100d from their mean is 255, then d is equal to |
| A. | 10.1 |
| B. | 10.2 |
| C. | 10.3 |
| D. | 10.4 |
| Answer» B. 10.2 | |
| 566. |
Mode of the observations 0, 1, 6, 7, 2, 3, 7, 0, 7, 2, 6, 6, 7, 5, 0, 7 is |
| A. | 3.8 |
| B. | 6 |
| C. | 7 |
| D. | None of the above |
| Answer» D. None of the above | |
| 567. |
If X̅ is the mean of a distribution of X, then under usual notation \(\displaystyle\sum_{i=1}^n f_i (x_i - \bar{x})\) is? |
| A. | Mean deviation about mean |
| B. | Standard deviation |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 568. |
Frequency curve may be: |
| A. | symmetrical |
| B. | positive skew |
| C. | negative skew |
| D. | all the above |
| Answer» E. | |
| 569. |
If y is the mean of x1, x2, ..., xn, then the value of (x1 - y) + (x2 - y) +...+ (xn - y) is |
| A. | 1 |
| B. | 0 |
| C. | 10 |
| D. | None of the above |
| Answer» C. 10 | |
| 570. |
Find the median of the data set: 1.9, 8.4, 3.6, 5.8? |
| A. | 5.1 |
| B. | 4.7 |
| C. | 5.2 |
| D. | 6.0 |
| Answer» C. 5.2 | |
| 571. |
For which of the following sets of numbers do the mean, median and mode have the same value? |
| A. | 12, 12, 12, 12, 24 |
| B. | 6, 18, 18, 18, 30 |
| C. | 6, 6, 12, 30, 36 |
| D. | 6, 6, 6, 12, 30 |
| Answer» C. 6, 6, 12, 30, 36 | |
| 572. |
If the means of two distributions are M1 and M2, while their respective frequencies are f1 and f2, then the combined mean of the two distributions will be |
| A. | \(\frac{{{M_1} + {M_2}}}{{{f_1} + {f_2}}}\) |
| B. | \(\frac{{{M_1}{f_1} + {M_2}{f_2}}}{{{f_1} + {f_2}}}\) |
| C. | \(\frac{{{M_1}{f_1} + {M_2}{f_2}}}{{{M_1} + {M_2}}}\) |
| D. | None of the above |
| Answer» C. \(\frac{{{M_1}{f_1} + {M_2}{f_2}}}{{{M_1} + {M_2}}}\) | |
| 573. |
If the mean of n observation 12, 22, 32, _______ n2 is \(\dfrac{46n}{11}\), then n is equal to: |
| A. | 22 |
| B. | 23 |
| C. | 11 |
| D. | 12 |
| Answer» D. 12 | |
| 574. |
Consider the following statements:1) If 10 is added to each entry on a list, then the average increases by 102) IF 10 is added to each entry on a list, then the standard deviation increases by 103) if each entry on a list is doubled then the average doublesWhat of the above statements are correct? |
| A. | 1, 2 and 3 |
| B. | 1 and 2 only |
| C. | 1 and 3 only |
| D. | 2 and 3 only |
| Answer» D. 2 and 3 only | |
| 575. |
If a perpendicular on X-axis from the point of intersection of both 'less than' and 'more than' frequency curves is drawn. it givens the value of |
| A. | Arithmetic mean |
| B. | Third Quartle |
| C. | Mode |
| D. | Median |
| Answer» E. | |
| 576. |
Find the value of '?', if the mean of the data set 18, 16, 22, 13 and ? is16.A. 9B. 11C. 10D. 12 |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» C. A | |
| 577. |
Find the mean of the distribution:130, 90, 25, 77, 250, 100 |
| A. | 25 |
| B. | 77 |
| C. | 100 |
| D. | 112 |
| Answer» E. | |
| 578. |
For the following data, the mean deviation from median isX26101418F46852 |
| A. | 0 |
| B. | 3.68 |
| C. | 3.84 |
| D. | 9.2 |
| Answer» C. 3.84 | |
| 579. |
For the following distribution: Class 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 Frequency 10 15 12 20 9The sum of lower limits of the median class and modal class is: |
| A. | 30 |
| B. | 15 |
| C. | 35 |
| D. | 25 |
| Answer» E. | |
| 580. |
In a data, 10 numbers arranged in ascending order. If the 7th observation from the beginning is increased by 4, then the median increase by |
| A. | 0 |
| B. | 4 |
| C. | 6 |
| D. | 5 |
| Answer» B. 4 | |
| 581. |
A researcher collected the following data shown below:5, 12, 6, 8, 5, 6, 7, 5, 12, 4, 1 median is: |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 5 |
| Answer» B. 7 | |
| 582. |
Calculate the mode from the following dataClass50-6060-7070-8080-9090-100100-110110-120frequency81016141052 |
| A. | 67.5 |
| B. | 77.5 |
| C. | 87.5 |
| D. | 76 |
| Answer» C. 87.5 | |
| 583. |
If the correlation coefficient between x and y is 0.6 covariance is 27 variance of y is 25, then what is the variance of x? |
| A. | 9/5 |
| B. | 81/25 |
| C. | 9 |
| D. | 81 |
| Answer» E. | |
| 584. |
Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.A. 5 and 5B. 3 and 5C. 5 and 4D. 3 and 4 |
| A. | B |
| B. | C |
| C. | D |
| D. | A |
| Answer» E. | |
| 585. |
If the yield (in gm) of barley from 7 plots of size one square yard each, were found to be 180, 191, 175, 111, 154, 141 and 176 then what is the median yield? |
| A. | 111 gm |
| B. | 154 gm |
| C. | 175 gm |
| D. | 176 gm |
| Answer» D. 176 gm | |
| 586. |
If the standard deviation of a population is 9.5, what would be the population variance?A. 19B. 90.25C. 81. 25D. 93 . 25 |
| A. | B |
| B. | C |
| C. | A |
| D. | D |
| Answer» B. C | |
| 587. |
Mean of a data set is 22. if the ratio of the mode and median of the data set is 1 : 3, the find the correct relation between mean, median and mode. |
| A. | Mean > Median > Mode |
| B. | Mode > Median > Mean |
| C. | Median = Mode > Mean |
| D. | Mean = Mode < Median |
| Answer» B. Mode > Median > Mean | |
| 588. |
Consider the following statements in respect of class intervals of grouped frequency distribution:1. Class intervals need not be mutually exclusive.2. Class intervals should be exhaustive.3. Class intervals need not be of equal width. Which of the above statements are correct? |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1 and 3 only |
| D. | 1, 2 and 3 |
| Answer» C. 1 and 3 only | |
| 589. |
If the range of a set of observations on a variable X is known to be 25 and if Y = 40 + 3X, then what is the range of the set of corresponding observations on Y? |
| A. | 25 |
| B. | 40 |
| C. | 75 |
| D. | 115 |
| Answer» D. 115 | |
| 590. |
If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2, b2, c2 is |
| A. | M2 |
| B. | 3M2 |
| C. | 6M2 |
| D. | 9M2 |
| Answer» C. 6M2 | |
| 591. |
Let x be the median of data : 33, 42, 28, 49, 32, 37, 52, 57, 35, 41. If 32 is replaced by 36 and 41 by 63, then the median of the data, so obtained, is y. what is the value of (x + y)? |
| A. | 79.5 |
| B. | 79 |
| C. | 78 |
| D. | 78.5 |
| Answer» E. | |
| 592. |
If the total number of observations is 20, ∑ xi = 1000 and \(\sum {\rm{x}}_{\rm{i}}^2 = 84000\), then what is the variance of the distribution? |
| A. | 1500 |
| B. | 1600 |
| C. | 1700 |
| D. | 1800 |
| Answer» D. 1800 | |
| 593. |
In which of the following way we can represent data regarding the population of five different countries in a particular year?I. TableII. Bar graphIII. HistogramIV. Pie chart |
| A. | I and III |
| B. | II, III and IV |
| C. | I and II |
| D. | I, II, III and IV |
| Answer» E. | |
| 594. |
Consider the class intervals 1-10, 11-20, 21-30, …. Here what is the class boundary of class interval 21-30? |
| A. | 20.5, 30.5 |
| B. | 20, 31 |
| C. | 20, 30 |
| D. | 21, 30 |
| Answer» B. 20, 31 | |