# NCERT Class 11-Math's: Exemplar Chapter –15 Statistics Part 2

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Question 2:

Find the variance and standard deviation for the following data:

Standard deviation

Question 3:

Show that the two formulae for the standard deviation of ungrouped data.

Are equivalent.

We have

Dividing both sides by n and taking their square root, we get .

Question 4:

Calculate variance of the following data:

 Class interval Frequency

Question 5:

Calculate mean, variation and standard deviation of the following frequency distribution:

 Classes Frequency