Statistics Questions

MathematicsStatistics25 Questions Found

MathematicsMeasures of DispersionJEE Main 2004Easy

In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations is 2, then $∣ a ∣$ equals.

(A)

\frac{2}{n}

(B)

2

(C)

(D)

\frac{1}{n}

Answer:C

MathematicsMeasures of DispersionJEE Main 2004Easy

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Consider the following statements: (A) Mode can be computed from histogram (B) Median is not independent of change of scale (C) Variance is independent of change of origin and scale. Which of these is / are correct?

(A)

(A), (B) and (C)

(B)

only (B)

(C)

only (A) and (B)

(D)

only (A)

Answer:C

MathematicsMeasures of DispersionJEE Main 2005Easy

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Let $x_{1}, x_{2}, \dots, x_{n}$ be n observations such that $\sum x_{i}^{2} = 400$ and $\sum x_{i} = 80$ . Then the possible value of n among the following is

(A)

(B)

(C)

(D)

Answer:B

MathematicsMeasures of Central Tendency (Mean, Median, Mode)JEE Main 2005Easy

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If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately

(A)

22.0

(B)

20.5

(C)

25.5

(D)

24.0

Answer:D

MathematicsMeasures of DispersionJEE Main 2006Easy

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Suppose a population A has 100 observations 101, 102, ..., 200 and another population B has 100 observations 151, 152, ..., 250. If $V_{A}$ and $V_{B}$ represent the variances of the two populations, respectively then $\frac{V _{A}}{V _{B}}$ is

(A)

(B)

\frac{9}{4}

(C)

\frac{4}{9}

(D)

\frac{2}{3}

Answer:A

MathematicsMeasures of Central Tendency (Mean, Median, Mode)JEE Main 2007Easy

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The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

(A)

(B)

(C)

(D)

Answer:A

MathematicsVariance and Standard DeviationJEE Main 2008Easy

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The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

(A)

a=0, b=7

(B)

a=5, b=2

(C)

a=1, b=6

(D)

a=3, b=4

Answer:D

MathematicsMean DeviationJEE Main 2009Easy

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If the mean deviation of the numbers 1, 1 + d, 1 + 2d, .... 1 + 100d from their mean is 255, then d is equal to:

(A)

20.0

(B)

10.1

(C)

20.2

(D)

10.0

Answer:B

MathematicsVariance and Standard DeviationJEE Main 2009Easy

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Statement-1: The variance of first n even natural numbers is $\frac{n ^{2} - 1}{4}$ . Statement-2: The sum of first n natural numbers is $\frac{n ( n + 1 )}{2}$ and the sum of squares of first n natural numbers is $\frac{n ( n + 1 ) ( 2 n + 1 )}{6}$

(A)

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

(B)

Statement-1 is true, Statement-2 is false.

(C)

Statement-1 is false, Statement-2 is true.

(D)

Statement-1 is true, Statement-2 is true. Statement-2 is a correct explanation for Statement-1.

Answer:C

MathematicsMean DeviationJEE Main 2011Easy

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If the mean deviation about the median of the numbers a, 2a,.......,50a is 50, then | a| equals

(A)

(B)

(C)

(D)

Answer:B

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations is 2, then ∣a∣ equals.

Consider the following statements: (A) Mode can be computed from histogram (B) Median is not independent of change of scale (C) Variance is independent of change of origin and scale. Which of these is / are correct?

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Let x1​,x2​,…,xn​ be n observations such that ∑xi2​=400 and ∑xi​=80. Then the possible value of n among the following is

If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately

The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

If the mean deviation of the numbers 1, 1 + d, 1 + 2d, .... 1 + 100d from their mean is 255, then d is equal to:

If the mean deviation about the median of the numbers a, 2a,.......,50a is 50, then | a| equals

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations is 2, then ∣a∣ equals.

Consider the following statements: (A) Mode can be computed from histogram (B) Median is not independent of change of scale (C) Variance is independent of change of origin and scale. Which of these is / are correct?

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Let x1​,x2​,…,xn​ be n observations such that ∑xi2​=400 and ∑xi​=80. Then the possible value of n among the following is

If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately

The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

If the mean deviation of the numbers 1, 1 + d, 1 + 2d, .... 1 + 100d from their mean is 255, then d is equal to:

If the mean deviation about the median of the numbers a, 2a,.......,50a is 50, then | a| equals

In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations is 2, then $∣ a ∣$ equals.

Let $x_{1}, x_{2}, \dots, x_{n}$ be n observations such that $\sum x_{i}^{2} = 400$ and $\sum x_{i} = 80$ . Then the possible value of n among the following is

In a series of 2n observations, half of them equal a and remaining half equal -a. If the standard deviation of the observations is 2, then $∣ a ∣$ equals.

Let $x_{1}, x_{2}, \dots, x_{n}$ be n observations such that $\sum x_{i}^{2} = 400$ and $\sum x_{i} = 80$ . Then the possible value of n among the following is