13. statistics - Gujarat Board (GSEB) STD 11 Science MATHS Questions

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01

MCQ

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Sample Questions

13. statistics questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark

If the mean of the numbers $27 + x$, $31 + x$, $89 + x$, $107 + x,\,156 + x$ is $82,$ then the mean of $130 + x,\,126 + x,\,68 + x,\,50 + x,\,1 + x$ is

✓
$75$
B
$157$
C
$82$
D
$80$

Answer: A.

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Q 2MCQ1 Mark

Consider the frequency distribution of the given numbersIf the mean is known to be $3$, then the value of $f$ is

Value :	$1$	$2$	$3$	$4$
Freq :	$5$	$4$	$6$	$f$

A
$3$
B
$7$
C
$10$
✓
$14$

Answer: D.

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Q 3MCQ1 Mark

If the algebraic sum of deviations of $20$ observations from $30$ is $20$, then the mean of observations is

A
$30$
B
$30.1$
C
$29$
✓
$31$

Answer: D.

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Q 4MCQ1 Mark

If the values $1,\,\frac{1}{2},\,\frac{1}{3},\,\frac{1}{4},\,\frac{1}{5},\,.....,\frac{1}{n}$ occur at frequencies $1, 2, 3, 4, 5, ….n$ in a distribution, then the mean is

A
$1$
B
$n$
C
$\frac{1}{n}$
✓
$\frac{2}{{n + 1}}$

Answer: D.

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Q 5MCQ1 Mark

The number of observations in a group is $40$. If the average of first $10$ is $4.5$ and that of the remaining $30$ is $3.5$, then the average of the whole group is

A
$\frac{1}{5}$
✓
$\frac{{15}}{4}$
C
$4$
D
$8$

Answer: B.

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