Math, asked by atharvamahale6477, 2 months ago

The variance of the series 5, 5, 5, 5,5 is
equal to​

Answers

Answered by pandoranil584
3

Answer:

0

5

20

25

Answer :

A

Solution :

Given observation are

5,5,5,5,5.

∴ x¯=5+5+5+5+55=255=5

Now, σ2=∑i=15(xi−x¯)2N

Where N = total number of observations.

∴ Variance=σ2

(5−5)+(5−5)+(5−5)+(5−5)+(5−5)5=0

Hence, standard deviation =var−−−√=0

Answered by ajajit9217
0

Answer:

The variance of the given series is 0.

Step-by-step explanation:

We know that \sigma² = \sum\frac{x_i-\bar x}{N}

where  \sigma² =  Variance

           x_i = 'i'th term of the series

           \bar x = mean of the series

           N = number of terms in the series

Here,  \sum \bar x  = \frac{5+5+5+5+5}{5}

                   = \frac{25}{5}

                   = 5

          \sum x_i - \bar x = (5 - 5) + (5 - 5) + (5 - 5) + (5 - 5) + (5 -5)

                         = 0

Therefore,  \sigma² = \sum\frac{0}{N}

                       = 0

Therefore, the variance of the given series is 0.

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