Class 9 Mathematics Statistics Mix Examples - Statistics and Probability

Easy

The value of $\pi$ up to $35$ decimal places is given below:
$3.14159265358979323846264338327950288$
Make a frequency distribution table of the digits $0$ to $9$ after the decimal point.

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Solution

(N/A) To find the frequency distribution,we count the occurrences of each digit from $0$ to $9$ in the sequence after the decimal point: $1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8, 8$.

Digit	Frequency
$0$	$1$
$1$	$2$
$2$	$5$
$3$	$6$
$4$	$3$
$5$	$4$
$6$	$3$
$7$	$2$
$8$	$5$
$9$	$4$

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Class 9

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Statistics

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Mix Examples - Statistics and Probability

The mean of the following distribution is $50$. Find the value of $a$ and hence the frequencies of $30$ and $70$.
$x$ $f$
$10$ $17$
$30$ $5a+3$
$50$ $32$
$70$ $7a-11$
$90$ $19$

Difficult

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If the mean of $20$ observations is $27.2$,then $\Sigma f_{i} x_{i}$ is ............

Easy

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Find the number of observations,if the sum of some observations is $975$ and their mean is $32.5$.

Easy

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The mean of the $10$ observations is $68$. If each observation is divided by $2$ and then $6$ is added to each result, find the mean of the new observations so obtained.

Difficult

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Draw a histogram for the data given below:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $5$ $7$ $12$ $9$ $13$ $5$

Easy

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Digit	Frequency
$0$	$1$
$1$	$2$
$2$	$5$
$3$	$6$
$4$	$3$
$5$	$4$
$6$	$3$
$7$	$2$
$8$	$5$
$9$	$4$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$5$	$7$	$12$	$9$	$13$	$5$

Digit	Frequency
$0$	$1$
$1$	$2$
$2$	$5$
$3$	$6$
$4$	$3$
$5$	$4$
$6$	$3$
$7$	$2$
$8$	$5$
$9$	$4$

The value of $\pi$ up to $35$ decimal places is given below:$3.14159265358979323846264338327950288$Make a frequency distribution table of the digits $0$ to $9$ after the decimal point.

Similar Questions

The mean of the following distribution is $50$. Find the value of $a$ and hence the frequencies of $30$ and $70$.$x$$f$$10$$17$$30$$5a+3$$50$$32$$70$$7a-11$$90$$19$

If the mean of $20$ observations is $27.2$,then $\Sigma f_{i} x_{i}$ is ............

Find the number of observations,if the sum of some observations is $975$ and their mean is $32.5$.

The mean of the $10$ observations is $68$. If each observation is divided by $2$ and then $6$ is added to each result, find the mean of the new observations so obtained.

Draw a histogram for the data given below: Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $5$ $7$ $12$ $9$ $13$ $5$

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The value of $\pi$ up to $35$ decimal places is given below:
$3.14159265358979323846264338327950288$
Make a frequency distribution table of the digits $0$ to $9$ after the decimal point.

The mean of the following distribution is $50$. Find the value of $a$ and hence the frequencies of $30$ and $70$.
$x$ $f$
$10$ $17$
$30$ $5a+3$
$50$ $32$
$70$ $7a-11$
$90$ $19$

Draw a histogram for the data given below:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $5$ $7$ $12$ $9$ $13$ $5$

Digit	Frequency
$0$	$1$
$1$	$2$
$2$	$5$
$3$	$6$
$4$	$3$
$5$	$4$
$6$	$3$
$7$	$2$
$8$	$5$
$9$	$4$