1 Marks Question

Question 11 Mark

Write an empirical relationship between the three measures of central tendency i.e. mean, median and mode.

Answer

Empirical relationship between the three measures of central tendency i.e. mean, median and mode is:
3 Median -2 Mean = Mode

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Question 21 Mark

Monthly pocket money of 50 students of a class are given in the following distribution:

Monthly pocket money (in Rs)	0-50	50-100	100-150	150-200	200-250	250-300
Number of students	2	7	8	30	12	1

Find modal class and also give class rank of the modal class.

Answer

Since we can see from the given grouped frequency table the highest frequency is in the group 150 - 200
So the modal class is $150-200$ and its rank is 30 as there are 30 students in the modal class.

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Question 31 Mark

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day.Write the above distribution as less than type cumulative frequency distribution.

Age (in years)	10-20	20-30	30-40	40-50	50-60	60-70
Cumulative frequency	60	42	55	70	53	20

Answer

The following is less than type cumulative frequency distribution.

Age (in years)	Cumulative frequency
Less than 20	60
Less than 30	60+42=102
Less than 40	102+55 157
Less than 50	157+70=227
Less than 60	227+53=280
Less than 70	280+20= 300

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Question 41 Mark

Find the class marks of the classes $20-50$ and $35-60$.

Answer

$\text { Class marks }=\frac{\text { lower limit }+ \text { upper limit }}{2}$
$\text { Class }-20-50$
$\text { Class marks }=\frac{20+50}{2}=\frac{70}{2}=35$
$\text { Class }-35-60$
$\text { Class marks }=\frac{35+60}{2}=\frac{95}{2}=47.5$

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