Statistics Test

Result

Statistics Test - 19

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Weekly Quiz Competition

Question 1
1 / -0

In the class interval $$35 - 46$$, the lower limit is _____

A
$$35$$

B
$$46$$

C
Can't determine

D
None of these

Solution

For the class interval $$35 - 46$$, the lower limit is $$35$$ and upper limit is $$46$$
Question 2
1 / -0

Directions For Questions

Use the table given below to find:
Class Interval Frequency
$$30 - 34$$ $$7$$
$$35 - 39$$ $$10$$
$$40 - 44$$ $$12$$
$$45 - 49$$ $$13$$
$$50 - 54$$ $$8$$
$$55 - 59$$ $$4$$

...view full instructions

The upper and lower limits of the fifth class.

A
$$52$$ and $$50$$

B
$$55$$ and $$51$$

C
$$54$$ and $$50$$

D
$$58$$ and $$60$$

Solution

Class Interval Frequency
$$30 - 34$$ $$7$$
$$35 - 39$$ $$10$$
$$40 - 44$$ $$12$$
$$45 - 49$$ $$13$$
$$50 - 54$$ $$8$$
$$55 - 59$$ $$4$$

Question 3

1 / -0

The value of $$\pi$$ upto $$50$$ decimal places is :

$$3.14159265358979323846264338327950288419716933993751$$

What is the frequency of digit $$0$$.

$$0$$

$$3$$

$$2$$

$$1$$

Solution

The given value of $$\pi$$ is $$3.14159265358979323846264338327950288419716933993751$$ Digits after decimal will be considered for counting the frequency Digits Frequency $$0$$ $$1$$ $$1$$ $$5$$ $$2$$ $$5$$ $$3$$ $$9$$ $$4$$ $$4$$ $$5$$ $$5$$ $$6$$ $$4$$ $$7$$ $$4$$ $$8$$ $$5$$ $$9$$ $$8$$ Hence, frequency of $$0$$ is $$1$$.

Question 4
1 / -0

In the class interval $$35 - 46$$; the lower limit is $$35$$ and upper limit is _____

A
$$36$$

B
$$45$$

C
$$46$$

D
$$48$$

Solution

Class interval is defined by the lower limit- upper limit.
Hence, for the class interval $$35 - 46$$
The lower limit is $$35$$ and upper limit is $$46$$

Question 5

1 / -0

Directions For Questions

The cost of $$250$$ articles is given below:

Cost (in Rs.)	No. of articles
less than $$20$$ less than $$30$$ less than $$40$$ less than $$50$$ less than $$60$$ less than $$70$$	$$22$$ $$40$$ $$75$$ $$190$$ $$228$$ $$250$$

Construct a frequency distribution table for the data given above and answer the following:

...view full instructions

How many articles have cost Rs. $$50$$ ?

Cost (in Rs.) :	$$10 - 20$$	$$20-30$$	$$30-40$$	$$40-50$$	$$50-60$$	$$60-70$$
Frequency :	$$22$$	$$18$$	$$35$$	$$115$$	$$38$$	$$22$$

$$22$$

$$38$$

$$35$$

$$115$$

Solution

The frequency distribution table is -

Cost (in Rs.) Class Interval	No. of articles(freq)
$$10$$ to $$20$$	$$22$$
$$20$$ to $$30$$	$$18$$
$$30$$ to $$40$$	$$35$$
$$40$$ to $$50$$	$$115$$
$$50$$ to $$60$$	$$38$$
$$60$$ to $$70$$	$$22$$

The articles which cost Rs.$$50 = 38$$

Question 6
1 / -0

The range of the data $$7, 13, 6, 25, 18, 20 , 16 $$ is _____

A
$$13$$

B
$$19$$

C
$$20$$

D
$$25$$

Solution

The data is: $$7,13,6,25,18,20,16$$
Lowest value $$= 6$$
highest value $$= 25$$
Range $$=$$ Highest Value $$-$$ Lowest value $$= 25 - 6 = 19$$
Question 7
1 / -0

Find the class mark of the class $$11 - 19$$

A
$$15$$

B
$$11$$

C
$$19$$

D
$$14.5$$

Solution

Class interval : $$11-19$$
Lower limit: $$11$$
Upper limit: $$19$$
Class Mark $$= \cfrac{\text{Lower} + \text{Upper}}{2}$$
Class Mark $$= \cfrac{11 + 19}{2}$$
Class Mark $$= 15$$
Question 8
1 / -0

Range of $$14, 12, 17, 18, 16$$ and $$x$$ is $$20$$. Find $$x$$ $$(x > 0)$$

A
$$2$$

B
$$28$$

C
$$32$$

D
Cannot be determined

Solution

Let $$x$$ be the highest no. and here lowest no. is $$12$$
Since, Range $$=$$ Highest value $$-$$ Lowest value
$$\therefore 20 = x - 12 $$
$$\therefore x =32 $$
$$\therefore $$ Option $$C$$ is correct.
Question 9
1 / -0

What is the average of squares of consecutive odd numbers between $$1$$ and $$13 $$?

A
$$49$$

B
$$51$$

C
$$53$$

D
$$57$$

Solution

The consecutive odd numbers from $$1$$ to $$13 = 3, 5, 7, 9, 11$$
Thus required average = $$\displaystyle \frac{3^{2}+5^{2}+7^{2}+9^{2}+11^{2}}{5}=\frac{9+25+49+81+121}{5}=\frac{285}{5}=57$$
Question 10
1 / -0

Mean of the first six even numbers is

A
$$7$$

B
$$5$$

C
$$3$$

D
$$1$$

Solution

Formula used:
$$Arithmetic\ mean= \dfrac{Sum\ of\ given\ numbers}{Total\ numbers}$$

Apply the above formula, we get
Mean$$=\displaystyle \frac{2+4+6+8+10+12}{6}$$
= $$\displaystyle \frac{42}{6}=7$$

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Re-Attempt Weekly Quiz Competition

Class Interval	Frequency
$$30 - 34$$	$$7$$
$$35 - 39$$	$$10$$
$$40 - 44$$	$$12$$
$$45 - 49$$	$$13$$
$$50 - 54$$	$$8$$
$$55 - 59$$	$$4$$

Statistics Test - 19

Result

Statistics Test - 19

Score

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Rank

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SHARING IS CARING

Question 1

$$35$$

$$46$$

Can't determine

None of these

Solution

Question 2

$$52$$ and $$50$$

$$55$$ and $$51$$

$$54$$ and $$50$$

$$58$$ and $$60$$

Solution

Question 3

$$0$$

$$3$$

$$2$$

$$1$$

Solution

Question 4

$$36$$

$$45$$

$$46$$

$$48$$

Solution

Question 5

$$22$$

$$38$$

$$35$$

$$115$$

Solution

Question 6

$$13$$

$$19$$

$$20$$

$$25$$

Solution

Question 7

$$15$$

$$11$$

$$19$$

$$14.5$$

Solution

Question 8

$$2$$

$$28$$

$$32$$

Cannot be determined

Solution

Question 9

$$49$$

$$51$$

$$53$$

$$57$$

Solution

Question 10

$$7$$

$$5$$

$$3$$

$$1$$

Solution

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