2 Marks Questions

Question 12 Marks

What do you understand by the word “statistics” in: Singular form.

Answer

The word statistics is used in both its singular and plural senses. In singular sense, statistics may be defined as the science of collection, presentation, analysis and interpretation of numerical data. For Example: Income and expenditure of persons in a particular locality, number of persons in a particular locality, number of males and females in a particular town are statistics.

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Question 22 Marks

What do you understand by the word “statistics” in: Plural form.

Answer

The word statistics is used in both its singular and plural senses. In plural sense, statistics means numerical facts or observations collected with definite purpose. For Example: Income and expenditure of persons in a particular locality, number of persons in a particular locality, number of males and females in a particular town are statistics.

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Question 32 Marks

The ages of ten students of a group are given below. The ages have been recorded in years and months: $8-6, 9-0, 8-4, 9-3, 7-8, 8-11, 8-7, 9-2, 7-10, 8-8$
$i.$ What is the lowest age?
$ii.$ What is the highest age?
$iii.$ Determine the range?

Answer

The ages of ten students of a group are given below: $8-6, 9-0, 8-4, 9-3, 7-8, 8-11, 8-7, 9-2, 7-10, 8-8.$
Lowest age is $7$ years $8$ months Highest age is $9$ years, $3$ months Range $=$ Highest age-lowest age $= 9$ year, $3$ months, $7$ years, $8$
months $= 1$ year $7$ months

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Question 42 Marks

Explain the meaning of the following terms:
True class limits.

Answer

True class limits:If classes are inclusive. Eg: $15-19,20-24,25-29 \ldots$
Then, true lower limit of class $=$ Upper Limit of Class $-0.5$
Eg: True limits of the class is $15-19$ are $14.5$ and $19.5$
But if classes are exclusive like $10-20,20-30,30-40 \ldots$
Here class limits and true class limits are the same.

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Question 52 Marks

Define cumulative frequency distribution.

Answer

Cumulative frequency distribution:

A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution or cumulative frequency distribution table.

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Question 62 Marks

Explain the difference between a frequency distribution and a cumulative frequency distribution.

Answer

Frequency table or frequency distribution is a method to represent raw data in the form from which one can easily understand the information contained in a raw data, where as a table which plays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution.

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