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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.
| 451. |
An analysis of monthly wages paid to the workers in two firms A and B belonging to the same industry gives the following result: Firm AFirm BNumber of workers500600Average monthly wageRs. 1860Rs. 1750Variance of distribution of wages81100 The average of monthly wage and variance of distribution of wages of all the workers in the firms A and B taken together are |
| A. | Rs. 1860, 100 |
| B. | Rs. 1750, 100 |
| C. | Rs. 1800, 81 |
| D. | None of the above |
| Answer» E. | |
| 452. |
Find the mode of the following data :70, 80, 65, 90, 70, 90, 80, 70, 75, 65 |
| A. | 90 |
| B. | 80 |
| C. | 70 |
| D. | 65 |
| Answer» D. 65 | |
| 453. |
In a group of 200 students, the mean and the standard deviation of scores were found to be 40 and 15, respectively. Later on it was found that the two scores 43 and 35 were misread as 34 and 53, respectively. The corrected mean of scores is: |
| A. | 40.965 |
| B. | 39.035 |
| C. | 39.965 |
| D. | 40.035 |
| Answer» D. 40.035 | |
| 454. |
Let x̅ be the mean of x1, x2, x3, ……xn if xi = a + cyi for some constants a and c, then what will be the mean of y1, y2, y3,…, yn? |
| A. | a + c x̅ |
| B. | \({\rm{a}} - \frac{1}{{\rm{c}}}{\rm{\bar x}}\) |
| C. | \(\frac{1}{{\rm{c}}}{\rm{\bar x}} - {\rm{a}}\) |
| D. | \(\frac{{{\rm{\bar x}} - {\rm{a}}}}{{\rm{c}}}\) |
| Answer» E. | |
| 455. |
If for a sample dataMean |
| A. | symmetric |
| B. | skewed to the right |
| C. | neither symmetric nor skewed |
| D. | skewed to the left |
| Answer» E. | |
| 456. |
Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of the following is the arithmetic mean of the smallest five observations in the data? |
| A. | 0 |
| B. | 8 |
| C. | 16 |
| D. | 24 |
| Answer» E. | |
| 457. |
If for some x ∈ R, the frequency distribution of the marks obtained by 20 students in a test is:Marks2357Frequency(x + 1)2(2x − 5)(x2 − 3x)x then the mean of the marks is: |
| A. | 3.2 |
| B. | 3 |
| C. | 2.5 |
| D. | 2.8 |
| Answer» E. | |
| 458. |
For showing the growth of population for the last 8 years, the best diagram is |
| A. | pie |
| B. | histogram |
| C. | scatter plot |
| D. | simple bar diagram |
| Answer» E. | |
| 459. |
If \(\rm \sum x_i = 20, \sum x_i^2=200\) and n = 10 for an observed variable x, then what is the coefficient of variation? |
| A. | 80 |
| B. | 100 |
| C. | 150 |
| D. | 200 |
| Answer» E. | |
| 460. |
If the median of the distribution 10, 12, 13, 16, x, 20, 25, 30, is 18, then the value of x is |
| A. | 24 |
| B. | 22 |
| C. | 23 |
| D. | 20 |
| Answer» E. | |
| 461. |
Consider the following statements:1. The mean and median are equal in symmetric distribution.2. The range is the difference between the maximum value and the minimum value in the data.3. The sum of the areas of the rectangles in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.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» E. | |
| 462. |
A difference between maximum and minimum score in statistics is called: |
| A. | range |
| B. | frequency |
| C. | class interval |
| D. | size of class interval |
| Answer» B. frequency | |
| 463. |
For a normal distribution, which one is a correct option? |
| A. | Mean > Median = Mode |
| B. | Mean < Median < Mode |
| C. | Mean = Median = Mode |
| D. | Mean > Median > Mode |
| Answer» B. Mean < Median < Mode | |
| 464. |
For the data:ClassFrequency160 - 17020170 - 180110180 - 190130190 - 20080200 - 21060The median is: |
| A. | 176.2 |
| B. | 185.4 |
| C. | 183.6 |
| D. | 182.8 |
| Answer» C. 183.6 | |
| 465. |
Find the range of the data 2, 1, 2, 3, 5, 4, 7, 3, 5, 2, 4? |
| A. | 5 |
| B. | 4 |
| C. | 3 |
| D. | 6 |
| Answer» E. | |
| 466. |
A set of annual numerical data, comparable over the years, is given for the last 12 years.Consider the following statements:1. The data is best represented by a broken line graph, each corner (turning point) representing the data of one year.2. Such a graph depicts the chronological change and also enables one to make a short-term forecast.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 | |
| 467. |
Coefficient of variation of two distributions are 50 and 60 their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is. |
| A. | 1 |
| B. | 0 |
| C. | 1.5 |
| D. | 2.5 |
| Answer» C. 1.5 | |
| 468. |
Consider the following statements in respect of a histogram:1. The total area of the rectangles in a histogram is equal to the total area bounded by the corresponding frequency polygon and the x-axis.2. When class intervals are unequal in a frequency distribution, the area of the rectangle is proportional to the frequency.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 | |
| 469. |
For the data 3, 5, 1, 6, 5, 9, 5, 2, 8, 6 the mean, median and mode are x, y and z respectively. Which one of the following is correct? |
| A. | x = y ≠ z |
| B. | x ≠ y = z |
| C. | x ≠ y ≠ z |
| D. | x = y = z |
| Answer» E. | |
| 470. |
If the algebraic sum of the deviations of 10 observations measured from 15 is 7, then the mean is |
| A. | 105 |
| B. | 70 |
| C. | 15.7 |
| D. | 16.7 |
| Answer» D. 16.7 | |
| 471. |
A random sample of 20 people is classified in the following table according to their ages:AgeFrequency15 – 25225 – 35435 – 45645 – 55555 - 653What is the mean age of this group of people? |
| A. | 41 |
| B. | 41.5 |
| C. | 42 |
| D. | 42.5 |
| Answer» C. 42 | |
| 472. |
\(1, \dfrac{1}{2}, \dfrac{1}{2}, \dfrac{3}{4}, \dfrac{1}{4}, 2, \dfrac{1}{2}, \dfrac{1}{4}, \dfrac{3}{4}\) mode of data is;A. \(\dfrac{1}{4}\)B. \(\dfrac{1}{2}\)C. \(\dfrac{3}{4}\)D. 1 |
| A. | A |
| B. | B |
| C. | D |
| D. | C |
| Answer» C. D | |
| 473. |
A cumulative frequency distribution is given belowClass60-6263-6566-6869-7172-74Cumulative frequency320364850 Which one of the following class has maximum frequency? |
| A. | 63-65 |
| B. | 66-68 |
| C. | 72-74 |
| D. | 69-71 |
| Answer» B. 66-68 | |
| 474. |
If the standard deviation of the population is 11, what will be the variance of the population?A. 44B. 121C. 22D. 33 |
| A. | D |
| B. | C |
| C. | B |
| D. | A |
| Answer» D. A | |
| 475. |
Mode of distribution can be obtained from |
| A. | Histogram |
| B. | More than type ogives |
| C. | Less than type ogives |
| D. | Frequency polygon |
| Answer» B. More than type ogives | |
| 476. |
A, B, C are three sets of values of x:A: 2, 3, 7, 1, 3, 2, 3B: 7, 5, 9, 12, 5 3, 8C: 4, 4, 11, 7, 2, 3, 4Select the correct statement from among the following |
| A. | Mean, Median and Mode of A are same |
| B. | Mean of C is equal to Median of B |
| C. | Median of B is equal to Mode of A |
| D. | Mean of A is equal to Mode of C |
| Answer» B. Mean of C is equal to Median of B | |
| 477. |
A student scores the following marks in five tests: 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six tests is: |
| A. | \(\frac{10}{\sqrt{3}}\) |
| B. | 100/3 |
| C. | 10/3 |
| D. | \(\frac{100}{\sqrt{3}}\) |
| Answer» B. 100/3 | |
| 478. |
If a certain set of observations has a mean of 22.5 and a median of 20, then what will be the mode of that set of observations? |
| A. | 12 |
| B. | 14 |
| C. | 16 |
| D. | None of the above |
| Answer» E. | |
| 479. |
Let x1, x2, ....., xn be n observations such that ∑x2i = 400 and ∑xi = 80. Then a possible value of n among the following is |
| A. | 10 |
| B. | 15 |
| C. | 20 |
| D. | 8 |
| Answer» D. 8 | |
| 480. |
Given below is a data set of temperatures (in ºC) : -6, - 8, - 2, 3, 2, 0, 5, 4, 8What is the range of the data? |
| A. | 0 ºC |
| B. | 16 ºC |
| C. | 18 ºC |
| D. | 10 ºC |
| Answer» C. 18 ºC | |
| 481. |
4 out of 5 cricketers have played 13, 9, 5, 11 innings respectively. If the mean of the data set is 9, then the number of innings played by the 5th player isA. 9B. 8C. 7D. 6 |
| A. | C |
| B. | D |
| C. | B |
| D. | A |
| Answer» B. D | |
| 482. |
A measure of the spread or variability of scores in a group of people is called : |
| A. | Norms |
| B. | Reliability |
| C. | Standard Deviation |
| D. | Validity. |
| Answer» D. Validity. | |
| 483. |
Data can be represented in which of the following forms?1. Textual form2. Tabula form3. Graphical formSelect 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» E. | |
| 484. |
In any discrete series (when all values are not same) if x represent mean deviation about mean and y represent standard deviation, then which one of the following is correct? |
| A. | y ≥ x |
| B. | y ≤ x |
| C. | x = y |
| D. | x < y |
| Answer» E. | |
| 485. |
Consider the following statements:1. Variance is unaffected by change of origin and change of scale.2. Coefficient of variance is independent of the unit of observations.Which of the statements given above is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» C. Both 1 and 2 | |
| 486. |
If the mean of the squares of the first n natural numbers is 11, then n is equal to: |
| A. | \(-\frac{13}{2}\) |
| B. | 11 |
| C. | 5 |
| D. | 4 |
| Answer» D. 4 | |
| 487. |
If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct? |
| A. | 2 × Standard deviation = 5 × Mean deviation |
| B. | 5 × Standard deviation = 2 × Mean deviation |
| C. | 4 × Standard deviation = 5 × Mean deviation |
| D. | 5 × Standard deviation = 4 × Mean deviation |
| Answer» D. 5 × Standard deviation = 4 × Mean deviation | |
| 488. |
If the fourth term in the Binomial expansion of \({\left( {\frac{2}{x} + {x^{{\rm{lo}}{{\rm{g}}_8}x}}} \right)^6}\) (x > 0) is 20 × 87, then a value of x is: |
| A. | 83 |
| B. | 82 |
| C. | 8 |
| D. | 8-2 |
| Answer» C. 8 | |
| 489. |
Consider the following statements:1.modal value of the marks in Physics less in the interval 30 - 40.2. Median of the marks in Physics is less than that of marks in Mathematics.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» C. Both 1 and 2 | |
| 490. |
Find the median of the discrete values.(a + 4), (a – 3.5), (a – 2.5), (a – 3), (a – 2), (a + 0.5), (a + 5) and (a – 0.5). |
| A. | a – 2.5 |
| B. | a – 0.75 |
| C. | a – 1.25 |
| D. | a – 1.5 |
| Answer» D. a – 1.5 | |
| 491. |
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children. |
| A. | 4 |
| B. | 8 |
| C. | 5 |
| D. | 3 |
| Answer» E. | |
| 492. |
If the data containing a few distinct values are arranged in ascending order or descendingorder, then that data is known as ______.I. Raw dataII. Arrayed data |
| A. | Only I |
| B. | Neither I nor II |
| C. | Only II |
| D. | Both I and II |
| Answer» D. Both I and II | |
| 493. |
Consider the following statements:1) Mean is independent of change in scale and change in origin.2) Variance is independent of change in scale but not in origin.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» E. | |
| 494. |
For what value of x, the mode of the following data is 27?25, 26, 27, 23, 27, 26, 24, x, 27, 26, 25, 25 |
| A. | 27 |
| B. | 24 |
| C. | 25 |
| D. | 26 |
| Answer» B. 24 | |
| 495. |
Out of every 400000 people, the number of persons below 25 years is |
| A. | 181000 |
| B. | 190000 |
| C. | 194000 |
| D. | 191000 |
| Answer» E. | |
| 496. |
Consider the following frequency distribution:xf865465108994674 What is the median for the distribution? |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» D. 9 | |
| 497. |
Find the no. of observations between 250 and 300 from the following data: Value More than 200 More than 250 More than 300 More than 350 No. of observations5638150 |
| A. | 56 |
| B. | 23 |
| C. | 15 |
| D. | 8 |
| Answer» C. 15 | |
| 498. |
Find the mean of 10, 9, 8, 7, 8, 6.A. 6B. 10C. 12D. 8 |
| A. | C |
| B. | B |
| C. | A |
| D. | D |
| Answer» E. | |
| 499. |
A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches.What is the median of the given data? |
| A. | 1 |
| B. | 3 |
| C. | 0 |
| D. | 2 |
| Answer» E. | |
| 500. |
Consider the following statements:1) If the correlation coefficient rxy = 0, then the two lines of regression are parallel to each other.2) If the correlation coefficient rxy = + 1, then the two lines of regression are perpendicular to each other.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» E. | |