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JEE • MATHEMATICS • STATISTICS

Statistics practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 301-312 of 312 questions

301 Easy

301 of 312

Application +4 | -1

\sum \limits_{i = 1}^{18} \left( {{x_i} - 8} \right) = 9\;and\;\sum \limits_{i = 1}^{18} {\left( {{x_i} - 8} \right)^2} = 45

, then the standard derivation of

{x_1},{x_2}, \ldots ,{x_{18}}

View answer and explanation

Correct option: C

\frac{3}{2}

Option C (

\frac{3}{2}

) is correct because the standard deviation can be calculated using the given sums.

302 Easy

302 of 312

Application +4 | -1

The mean of 100 items is 50 and their S.D. is 4 . the sum of all the items and also the sum of the squares of the items is

View answer and explanation

Correct option: A

5000,251600

Option A (

5000,251600

) is correct because it correctly calculates the sum of the items and the sum of the squares of the items using the given mean and standard deviation.

303 Easy

303 of 312

Application +4 | -1

Mean, mode and standard deviation of a frequency distribution are 41,45 and 8 respectively, Pearson's coefficient of skewness is

View answer and explanation

Correct option: D

-0.5

Option D (-0.5) is correct because it is the Pearson's coefficient of skewness calculated using the formula (Mean - Mode) / SD.

304 Easy

304 of 312

Application +4 | -1

The mean of 20 observations is 15 . On checking it was found that the two observations were wrongly copied as 3 and 6 . The correct values are 8 and 4 , then correct mean will be given by

View answer and explanation

Correct option: A

15.15

Option A (15.15) is correct because the correct mean is calculated by subtracting the incorrect values and adding the correct values to the original sum, then dividing by the number of observations.

305 Easy

305 of 312

Application +4 | -1

If the standard deviation of the observation

- 5, - 4, - 3 - 2, - 1,0,1,2,3,4,5

\sqrt {10}

. The standard deviation of observations

15,\mathrm{ }16,\mathrm{ }17,\mathrm{ }18,\mathrm{ }19,\mathrm{ }20,\mathrm{ }21,\mathrm{ }22,\mathrm{ }23,\mathrm{ }24,\mathrm{ }25

will be

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because adding a constant to each observation does not change the standard deviation.

306 Easy

306 of 312

Remembering +4 | -1

One of the methods of determining mode is

View answer and explanation

Correct option: C

Mode

=3

median -2 mean

Option C (Mode

=3

median -2 mean) is correct because this is the empirical relationship between mode, median, and mean.

307 Easy

307 of 312

Application +4 | -1

The coefficient of variation of a series is 50. Its S.D. is 21.2. Its arithmetic mean is

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the arithmetic mean is calculated using the coefficient of variation and standard deviation, resulting in 42.4.

308 Easy

308 of 312

Application +4 | -1

Coefficient of variation of two distribution are 60 and 70, and their standard deviations are 21 and 16, respectively. What are their arithmetic means?

View answer and explanation

Correct option: A

35,22.85

Option A (35, 22.85) is correct because using the formula for the coefficient of variation, we can solve for the arithmetic means of the two distributions.

309 Easy

309 of 312

Understanding +4 | -1

The median and standard deviation (S.D.) of a distribution are 20 and 4 respectively. If each item is increased by 2 then

View answer and explanation

Correct option: B

Median will will go up by 2 but S.D. will remain same

Option B (Median will go up by 2 but S.D. will remain same) is correct because adding a constant to all data points shifts the median by that constant, but does not affect the standard deviation.

310 Easy

310 of 312

Application +4 | -1

If M. D. is 12, the value of S.D. will be

View answer and explanation

Correct option: A

Option A (15) is correct because the standard deviation (S.D.) is related to the mean deviation (M.D.) through a constant factor, and given M.D. = 12, S.D. can be calculated.

311 Easy

311 of 312

Application +4 | -1

If the coefficient of variation is 45% and the mean is 12 then its standard derivation is

View answer and explanation

Correct option: C

5.4

Option C (

5.4

) is correct because it is the standard deviation calculated using the coefficient of variation formula.

312 Easy

312 of 312

Application +4 | -1

The median and SD of a distribution are 20 and 4 , respectively. If each item is increased by 2 , then new median and

\mathrm{SD}

will be

View answer and explanation

Correct option: D

22,4

Option D (22,4) is correct because adding a constant to each item increases the median by the same constant, while the standard deviation remains unchanged.

Revision notes and key takeaways

Review STATISTICS in your textbook or class notes, then use this set to check your understanding.

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