MCQ Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 11

Class interval	$$10-15$$	$$15-20$$	$$20-25$$	$$25-30$$
Frequency	$$7$$	$$12$$	$$8$$	$$10$$

Find the mean of the following data using Assumed mean method.

0%
$$19.781$$
0%
$$20.836$$
0%
$$20.337$$
0%
$$21.005$$

What is the average weight of $$40$$ people whom are diagnosed for thyroid? (use Assumed mean method).

0%
$$90.75$$
0%
$$101.45$$
0%
$$87.25$$
0%
$$95$$

Estimate the mean of the given data using Assumed meant method.

0%
$$50$$
0%
$$49.14$$
0%
$$51.83$$
0%
$$61.37$$

The marks obtained by $$20$$ students of Class $$X$$ of a certain school in a English paper consisting of $$100$$ marks are presented in table below. Find the mean of the marks obtained by the students using step deviation method.

0%
$$61$$
0%
$$62$$
0%
$$63$$
0%
$$64$$

The marks obtained by $$40$$ students of Class XII of a certain school in a Science paper consisting of $$200$$ marks are presented in table below. Find the mean of the marks obtained by the students using step deviation method.

0%
$$153.5$$
0%
$$154.5$$
0%
$$150.2$$
0%
$$156.5$$

The marks scored by $$25$$ students in the exam are as follows. Find the average using Assumed mean method.

0%
$$73.1$$
0%
$$75.8$$
0%
$$77.4$$
0%
$$76.9$$

Class interval	$$4-8$$	$$8-12$$	$$12-16$$	$$16-20$$
No. of employees	$$5$$	$$10$$	$$15$$	$$20$$

Find the mean of the following frequency distribution using step deviation method.

0%
$$11$$
0%
$$12$$
0%
$$13$$
0%
$$14$$

Find the mean of the above frequency distribution using the step deviation method.

0%
$$5$$
0%
$$6$$
0%
$$7$$
0%
$$8$$

An Egg Seller distributes eggs to the shop in a city. The number of eggs he distributes for each shop has been recorded and the data obtained was grouped into a class shown in the table below. Find the mean using sdirect method.

0%
$$91.5$$
0%
$$83.07$$
0%
$$87.34$$
0%
$$89.76$$

Find the mean number of leaves per tree using step deviation method.

0%
$$10.4$$
0%
$$11$$
0%
$$12$$
0%
$$13$$

The percentage of marks obtained by the students in a class of $$50$$ are given below. Find the mean for the following data.

Marks$$(\%)$$	$$40-50$$	$$50-60$$	$$60-70$$	$$70-80$$	$$80-90$$	$$90-100$$
Number of students	$$6$$	$$12$$	$$14$$	$$8$$	$$6$$	$$4$$

0%
$$64.6\%$$
0%
$$65.6\%$$
0%
$$66.6\%$$
0%
$$67.6\%$$

Calculate the mean for the following table using step deviation method.

0%
$$11$$
0%
$$12$$
0%
$$13$$
0%
$$14$$

The average (arithmetic mean) of all the grades on a certain algebra test was $$90$$. If the average of the $$8$$ males grades was $$87$$, and the average of the females grades was $$92$$, calculate the number of female students.

0%
8
0%
9
0%
10
0%
11
0%
12

Find the Arithmetic mean of the following data by Assumed mean method.

0%
$$21$$
0%
$$22$$
0%
$$30$$
0%
$$33$$

Find the mean of following frequency distribution using step deviation method.

0%
$$44.66$$
0%
$$40.66$$
0%
$$42.66$$
0%
$$45.66$$

Calculate the average income of the workers per week using step deviation method.

0%
$$500$$
0%
$$640$$
0%
$$480$$
0%
$$320$$

The distribution of income of $$60$$ teachers in a school are given below. Find the Arithmetic mean of the following data by Asumed mean method.

0%
$$256$$
0%
$$230$$
0%
$$265$$
0%
$$254$$

Find the mean using step deviation method.

0%
$$14$$
0%
$$13$$
0%
$$12$$
0%
$$10$$

Calculate the mean of the following data with the help of Assumed method.

0%
$$7.58$$
0%
$$5.78$$
0%
$$6.87$$
0%
$$8.67$$

In a study on a certain population, the following data was given.

Population (X)	2000-2001	2001-2002	2002-2003	2003-2004	2004-2005	2005-2006	2006-2007
Number of people	10	20	30	40	50	60	70

Find the average number of population using step deviation method.

0%
$$2002$$
0%
$$2003$$
0%
$$2004$$
0%
$$2005$$

Find the arithmetic mean of $$\dfrac {1}{2}, \dfrac {1}{3}, 2n$$ and $$m$$.

0%
$$\dfrac {5 + 12n + 6m}{24}$$
0%
$$\dfrac {5 + 8n + 4m}{24}$$
0%
$$\dfrac {5 + 2n + m}{4}$$
0%
$$\dfrac {5 + 12n + 6m}{6}$$
0%
$$\dfrac {5 + 2n + m}{12}$$

$$M$$ is a set consisting of a finite number of consecutive integers. If the median of the numbers in set $$M$$ is equal to one of the numbers in set $$M$$, which of the following must be true?
$$I.$$ The average (arithmetic mean) of the numbers in set $$M$$ equals the median.
$$II.$$ The number of numbers in set $$M$$ is odd.
$$III.$$ The sum of the smallest number and the largest number in set $$M$$ is even

0%
None of these
0%
$$II$$ only
0%
$$I$$ and $$II$$ only
0%
$$I$$ and $$III$$ only
0%
$$I, II$$ and $$III$$

The frequency distribution of marks in English are given in the table:

Marks	50-60	60-70	70-80	80-90
Number of students	12	24	14	10

Find the mean by step deviation method.

0%
$$58$$
0%
$$48$$
0%
$$69$$
0%
$$71$$

Calculate the arithmetic mean for the following birthday gifts using direct method.

Children	0-12	12-24	24-36	36-48	48-60
Birthday gifts	3	5	7	9	11

0%
$$36.85$$
0%
$$23.56$$
0%
$$24.87$$
0%
$$12.24$$

Find the arithmetic mean using step deviation method for the following. The data shows distance covered by $$40$$ passengers to perform their work. (Round off your answer to the nearest whole number).

Distance (km)	1-5	5-9	9-13	13-17	17-21	21-25	25-29
Number of passengers	2	4	6	8	10	5	5

0%
$$15$$
0%
$$16$$
0%
$$17$$
0%
$$19$$

Calculate the mean for the following data using step deviation method:

Class interval (X)	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	15	10	15	20	25	30	35

Round off your answer to the nearest whole number.

0%
$$41$$
0%
$$42$$
0%
$$43$$
0%
$$44$$

Marks	0-5	5-10	10-15	15-20	20-25	25-30	30-35	35-40	40-45	45-50
Frequency	3	5	7	8	10	11	14	19	15	13

For the following distribution, find the mean using step deviation method. (Round off your answer to the nearest whole number)

0%
$$29$$
0%
$$31$$
0%
$$35$$
0%
$$37$$

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70- 80	80-90	90-100
Frequency	3	5	6	7	8	9	10	12	6	4

Find the mean mark using step deviation method:

0%
$$54$$
0%
$$55$$
0%
$$56$$
0%
$$57$$

Brian got grades of $$92,89$$ and $$86$$ on his first three math tests. What grade must he get on his final test to have an overall average of $$90$$?

0%
90
0%
93
0%
87
0%
85

You grew sixty plants using special soil. You measure their lengths and the values are tabulated below.

Length(cm)	$$120-125$$	$$125-130$$	$$130-135$$	$$135-140$$	$$140-145$$	$$145-150$$
Number of plants	$$8$$	$$10$$	Y	$$16$$	$$8$$	$$12$$

The mean length of the plants is $$136$$cm. Find y in the table.

0%
$$10$$
0%
$$8$$
0%
$$6$$
0%
$$4$$

Class Interval	$$x $$	Frequency $$f $$	$$d=x-A $$	$$f_d$$
$$10-15 $$	$$13 $$	$$7$$	$$-4$$	$$-28$$
$$15-20$$	$$17=A$$	$$12$$	$$0$$	$$0$$
$$20-25$$	$$23$$	$$8$$	$$6$$	$$48$$
$$25-30$$	$$27$$	$$10$$	$$10 $$	$$100$$
		$$\Sigma f=37$$		$$\Sigma f_d = 120$$

Weight	X = $$\cfrac{U.L.+L.L.}{2}$$	Patients (F)	d=X-A	Fd
65-75	70	3	-30	-30
75-85	80	13	-20	-260
85-95	90	12	-10	-120
95-105	100 = 100	8	0	0
105-115	110	4	10	40
		$$\Sigma F = 40$$		$$\Sigma Fd = -430$$

Interval	$$x = \cfrac{U.L. + L.L.}{2}$$	Frequency f	d=x-A	fd
22-32	27	12	-30	-360
32-42	37	7	-20	-140
42-52	47	11	-10	-110
52-62	57=A	3	0	0
62-72	67	19	10	190
72-82	77	6	20	120
		$$\Sigma f=58$$		$$\Sigma fd = -300$$

Marks	X	Students (F)	$$d=\cfrac{X-A}{i}$$	Fd
100-120	110	4	-2	-8
120-140	130	5	-1	-5
140-160	150 = A	11	0	0
160-180	170	20	1	20
		$$\Sigma F = 40$$		$$\Sigma Fd = 7$$

Class interval $$(i)$$	$$X $$	No. of employees $$F $$	$$d=\cfrac{X-A}{i}$$	$$Fd $$
$$4-8$$	$$6$$	$$5$$	-$$1 $$	$$-5$$
$$8-12$$	$$10=A$$	$$ 10$$	$$0$$	$$0$$
$$12-16$$	$$14$$	$$15$$	$$1 $$	$$15$$
$$16-20$$	$$18$$	$$20$$	$$ 2$$	$$40$$
		$$\Sigma F = 50$$		$$\Sigma Fd = 50$$

CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 11 - MCQExams.com

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Practice Class 11 Commerce Economics Quiz Questions and Answers

Class interval	$$X_i$$	Frequency $$F_i$$	$$u=\cfrac{X-A}{i}$$	$$F_iu_i$$
$$2-4$$	$$3$$	$$11$$	$$-1$$	$$-11$$
$$4-6$$	$$5=A$$	$$22$$	$$0$$	$$0$$
$$6-8$$	$$7$$	$$33$$	$$1$$	$$33$$
$$8-10$$	$$9$$	$$44$$	$$2$$	$$88$$
		$$\sum F_i = 110$$		$$\sum F_iu_i = 110$$

Number of eggs	Mid-Value	$${ f }_{ i }$$	$${ f }_{ i }{ x }_{ i }$$
$$0-30$$	$$15$$	$$40$$	$$600$$
$$30-60$$	$$45$$	$$26$$	$$1170$$
$$60-90$$	$$75$$	$$38$$	$$2850$$
$$90-120$$	$$105$$	$$12$$	$$1260$$
$$120-150$	$$135$$	$$25$$	$$3375$$
$$150-180$$	$$165$$	$$30$$	$$4950$$
		$$\sum { { f }_{ i }=171 } $$	$$\sum { { f }_{ i }{ x }_{ i }=14205 } $$

No. of leaves	X	No. of trees F	$$u=\cfrac{X-A}{i}$$	Fu
0-4	2	10	-1	-10
4-8	6 = A	20	0	-0
8-12	10	30	1	30
12-16	14	40	2	80
		$$\Sigma f = 100$$		$$\Sigma fu = 110$$

Age	No. of children F	Mid Value (X)	$$u=\cfrac{X-A}{i}$$	Fu
2-5	1	3.5	-1	-1
5-8	2	6.5 = A	0	0
8-11	3	9.5	1	3
11-14	4	12.5	2	8
14-17	5	15.5	3	15
	$$\Sigma F = 15$$			$$\Sigma Fu = 25$$

CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 11 - MCQExams.com

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Practice Class 11 Commerce Economics Quiz Questions and Answers

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