1 Marks Question

Question 11 Mark

The monthly pocket money of six friends is given below:
$Rs. 45, Rs. 30, Rs. 40, Rs. 25, Rs. 45.$
$i.$ What is the lowest pocket money?
$ii.$ What is the highest pocket money?
$iii.$ What is the range?
$iv.$ Arrange the amounts of pocket money in ascending order.

Answer

The monthly pocket money of six friends is given below:
$Rs. 45,Rs. 30, Rs. 40, Rs. 25, Rs. 45.$
$i.$Highest pocket money $= Rs. 50$
$ii.$ Lowest pocket money $= Rs. 25$
$iii.$ Range $= 50 - 25 = 25$
$iv.$ The amounts of pocket money in an ascending order is: $Rs. 25, Rs. 30, Rs. 40, Rs. 45, Rs. 45, Rs. 50.$

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Question 21 Mark

Write the class-size in the following: $5-5.01, 5.01-5.02, 5.02-5.03.$

Answer

$5-5.01, 5.01-5.02, 5.02-5.03$. Here the class limits and true class limits are the same Therefore class size $= 5.01 - 5.0 = 0.01.$

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Question 31 Mark

Write the class-size in the following: $10 -19, 20-29, 30-39$

Answer

$10-19, 20-29, 30-39$ True class limits $19.5-19.5, 19.5-29.5, 29.5-29.5$ Class size $= 39.5 - 29.5 = 10$

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Question 41 Mark

Explain the meaning of the following terms: Class-mark.

Answer

Class-mark: The middle value of the class is called as the class mark. $\text{Class Mark}=\frac{\text{Upper Limit+Lower Limit}}{2}$

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Question 51 Mark

Explain the meaning of the following terms: Frequency.

Answer

Frequency: The number of observations corresponding to class is called its frequency.

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Question 61 Mark

Explain the meaning of the following terms:
Class-size.

Answer

Class-size:

The difference between the true upper limit and lower limit is called the class size of that class size.

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Question 71 Mark

Explain the meaning of the following terms: Class limits.

Answer

Class limits: Each class is bounded by two figures, called the class limits.The figures on the left side of the classes are called lower limits while figures on the right side are called upper limits.

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Question 81 Mark

Write the class-size in the following: $0-4, 5-9, 10-14$

Answer

$0-4, 5-9, 10-14$
True class limits are $0.5-4.5, 4.5-9.5, 9.5-14.5$
Therefore class size $= 14.5 - 9.5 = 5$

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Question 91 Mark

Write the class-size in the following: $0-0.25, 0.25-00.50, 0.50-0.75$

Answer

$0-0.25, 0.25-00.50, 0.50-0.75$ Here the class limits and true class limits are the same Therefore class size $= 0.25 - 0 = 0.25$

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Question 101 Mark

Write the class-size in the following: $100-120, 120-140, 160-180$

Answer

$100-120, 120-140, 160-180$ Here the class limits and true class limits are the same Therefore class size $= 120 - 100 = 20$

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Question 111 Mark

Explain the meaning of the following terms: Class-integral.

Answer

Class interval:In the data each group into which raw data is considered is called a class-interval.

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Question 121 Mark

Explain the meaning of the following terms: Variate.

Answer

Variate: Any character that can vary from one individual to another is called variate.

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