CBSE Class 10-Mathematics: Chapter –14 Statistics Part 7

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Question 7:

If the values of mean and mode are respectively and , then median

(a)

(b)

(c)

(d)

Answer:

Median Mode

Question 8:

If the mean of the following data is . find the value of P.

the mean of the following data

Answer:

We have

find the value of P

Now mean

Question 9:

Find the mean of the following data.

Construct the cumulative frequency distribution

Classes

Frequency

Answer:

We have

Classes Mid-value of Frequency

Classes

Mid-value

Frequency

Now mean

Hence, mean

Question 10:

The following data gives the information observed life times (in hours) of electrical components. Determine the modal life times of the components.

Determine the modal life times of the components

Life time (in hours)

Frequency

Answer:

Since the maximum frequency and it corresponds to the class

Here,

We know that mode Mo is given by

Thus, modal life hours