(D) First,calculate the total number of families:$Total = 150 + 400 + 40 + 250 + 160 = 1000$.The central angle for a category is calculated as:$\text{

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(D) First,calculate the total number of families:$Total = 150 + 400 + 40 + 250 + 160 = 1000$.The central angle for a category is calculated as:$\text{Central Angle} = \left( \frac{\text{Value of category}}{\text{Total value}} \right) \times 360^\circ$.For food and clothing,the value is $400$:$\text{Central Angle} = \left( \frac{400}{1000} \right) \times 360^\circ = 0.4 \times 360^\circ = 144^\circ$.Thus,the correct option is $D$.

Class 11 Mathematics Statistics Word problem -Statistics

Difficult

$A$ pie chart is to be drawn for representing the following data. The value of the central angle for food and clothing would be...$^o$

Items of expenditure Number of families

$Education$ $150$

$Food and clothing$ $400$

$House rent$ $40$

$Electricity$ $250$

$Miscellaneous$ $160$

A
$90$
B
$2.8$
C
$150$
D
$144$

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Class 11

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Statistics

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Word problem -Statistics

The range of the following set of observations $2, 3, 5, 9, 8, 7, 6, 5, 7, 4, 3$ is:

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Let the median and the mean deviation about the median of $7$ observations $170, 125, 230, 190, 210, a, b$ be $170$ and $\frac{205}{7}$ respectively. Then the mean deviation about the mean of these $7$ observations is:

DifficultJEE MAIN 2024

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$\bar{x}$ and $\bar{y}$ are the arithmetic means of the runs of two batsmen $A$ and $B$ in $10$ innings respectively,and $\sigma_{A}$ and $\sigma_{B}$ are the standard deviations of their runs. If batsman $A$ is more consistent than $B$,then he is also a higher run scorer only when

EasyAP EAMCET 2024

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If the variance of the frequency distribution is $3$,then $\alpha$ is ......

$X_i$ $2$ $3$ $4$ $5$ $6$ $7$ $8$

Frequency $f_i$ $3$ $6$ $16$ $\alpha$ $9$ $5$ $6$

MediumJEE MAIN 2023

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The mean and variance of a data of $10$ observations are $10$ and $2$,respectively. If an observation $\alpha$ in this data is replaced by $\beta$,then the mean and variance become $10.1$ and $1.99$,respectively. Then $\alpha + \beta$ equals.

DifficultJEE MAIN 2026

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Items of expenditure	Number of families
$Education$	$150$
$Food and clothing$	$400$
$House rent$	$40$
$Electricity$	$250$
$Miscellaneous$	$160$

$X_i$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
Frequency $f_i$	$3$	$6$	$16$	$\alpha$	$9$	$5$	$6$

$A$ pie chart is to be drawn for representing the following data. The value of the central angle for food and clothing would be...$^o$ Items of expenditure Number of families $Education$ $150$ $Food and clothing$ $400$ $House rent$ $40$ $Electricity$ $250$ $Miscellaneous$ $160$

Similar Questions

The range of the following set of observations $2, 3, 5, 9, 8, 7, 6, 5, 7, 4, 3$ is:

Let the median and the mean deviation about the median of $7$ observations $170, 125, 230, 190, 210, a, b$ be $170$ and $\frac{205}{7}$ respectively. Then the mean deviation about the mean of these $7$ observations is:

$\bar{x}$ and $\bar{y}$ are the arithmetic means of the runs of two batsmen $A$ and $B$ in $10$ innings respectively,and $\sigma_{A}$ and $\sigma_{B}$ are the standard deviations of their runs. If batsman $A$ is more consistent than $B$,then he is also a higher run scorer only when

If the variance of the frequency distribution is $3$,then $\alpha$ is ...... $X_i$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ Frequency $f_i$ $3$ $6$ $16$ $\alpha$ $9$ $5$ $6$

The mean and variance of a data of $10$ observations are $10$ and $2$,respectively. If an observation $\alpha$ in this data is replaced by $\beta$,then the mean and variance become $10.1$ and $1.99$,respectively. Then $\alpha + \beta$ equals.

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$A$ pie chart is to be drawn for representing the following data. The value of the central angle for food and clothing would be...$^o$

Items of expenditure Number of families

$Education$ $150$

$Food and clothing$ $400$

$House rent$ $40$

$Electricity$ $250$

$Miscellaneous$ $160$

If the variance of the frequency distribution is $3$,then $\alpha$ is ......

$X_i$ $2$ $3$ $4$ $5$ $6$ $7$ $8$

Frequency $f_i$ $3$ $6$ $16$ $\alpha$ $9$ $5$ $6$