X- - a - - fd-N is the formula of

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Standard IX

Mathematics

Properties of Measures of Central Tendency

x̅ = a + ∑ fd...

Question

$¯ x = a + \frac{\sum f d}{N}$ is the formula of

Median

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Mode

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Arithmetic mean

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Mean deviation

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Solution

The correct option is C Arithmetic mean
To compute the mean value, we use following equation
$¯ x = a + \frac{\sum f d}{N}$
Hence, this is the arithmetic mean formula.

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Similar questions

Q. Mean deviation about the mean

¯ x

of the variate x is

\frac{2}{N} [¯ x \sum x_{i} < ¯ x f_{i} - \sum x_{i} < ¯ x f_{i} x_{i}]

. If this is true enter 1 , else enter 0

Q. For a frequency distribution standard deviation is computed by applying the formula
(a)

σ = \sqrt{\frac{Σ f d^{2}}{Σ f} - {(\frac{Σ f d}{Σ f})}^{2}}

(b)

σ = \sqrt{{(\frac{Σ f d}{Σ f})}^{2} - \frac{Σ f d^{2}}{Σ f}}

(c)

σ = \sqrt{\frac{Σ f d^{2}}{Σ f} - \frac{Σ f d}{Σ f}}

(d)

\sqrt{{(\frac{Σ f d}{Σ f})}^{2} - \frac{Σ f d^{2}}{Σ f}}

x = a + \frac{Σ f d}{N}

is the formula of

For the given distinct values $x_{1}, x_{2}, x_{3}, . . . . . x_{n}$ occurring with frequencies $f_{1}, f_{2}, f_{3}, . . . f_{n}$ respectively. The mean deviation about mean where $¯ ¯ ¯ x$ is the mean and N is total number of observations would be

The mid - points of class intervals $x_{i}$ along with respective frequencies $f_{i}$ for recorded observations are given. Calculate the mean deviations about mean $¯ ¯ ¯ x$

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¯x=a+∑fdN is the formula of

The correct option is C Arithmetic meanTo compute the mean value, we use following equation¯x=a+∑fdNHence, this is the arithmetic mean formula.

$¯ x = a + \frac{\sum f d}{N}$ is the formula of

The correct option is C Arithmetic mean
To compute the mean value, we use following equation
$¯ x = a + \frac{\sum f d}{N}$
Hence, this is the arithmetic mean formula.