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Which of the following variables are discrete ? 1. Size of shoes, 2. Number of pages in a book, 3. Distance travelled by a train, 4. Time
  • a)
    1 and 2
  • b)
    1 and 4
  • c)
    1 and 3
  • d)
    2 and 4
Correct answer is option 'A'. Can you explain this answer?
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Which of the following variables are discrete ? 1. Size of shoes, 2. N...
To determine which variables are discrete, we need to understand the characteristics of discrete variables.

A discrete variable is a variable that can only take on specific values, often whole numbers, and has gaps or intervals between the values.

Now let's analyze each variable given in the options:

1. Size of shoes:
- The size of shoes is usually measured in whole numbers, such as 6, 7, 8, etc.
- It cannot take on decimal values or be measured continuously.
- Therefore, the size of shoes is a discrete variable.

2. Number of pages in a book:
- The number of pages in a book is also measured in whole numbers, such as 100, 200, 300, etc.
- It cannot have decimal values or be measured continuously.
- Therefore, the number of pages in a book is a discrete variable.

3. Distance travelled by a train:
- The distance travelled by a train can have any value along a continuous scale, such as 10.5 km, 25.3 km, etc.
- It can take on any value within a given range, without any gaps or intervals.
- Therefore, the distance travelled by a train is a continuous variable, not discrete.

4. Time:
- Time can be measured in hours, minutes, seconds, etc.
- It can take on any value within a given range, without any gaps or intervals.
- Therefore, time is a continuous variable, not discrete.

Based on the characteristics of discrete variables, the variables that are discrete in the given options are:
- Size of shoes
- Number of pages in a book

Therefore, the correct answer is option A: 1 and 2.
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Which of the following variables are discrete ? 1. Size of shoes, 2. N...
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