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Question

Which of the following questions will show the variability in the collection of data?

A
What is Jack's score in the quiz?
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B
What is the age of students in the class?
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C
How many pencils are sold each day for 5 consecutive days?
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D
How many days are there in a week?
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Solution

The correct option is C How many pencils are sold each day for 5 consecutive days?
Variability is the variety of answers that can be observed in any collection of data.

The question, "What is Jack's score in the quiz?" asks the score of a single person, thus there is no variability.

Similarly, the answer to the question, "How many days are there in a week?" does not show any variability.

On the other hand, the questions
"What is the age of students in the class?" and "How many pencils are sold each day for 5 consecutive days?" are represented as follows:



Since there is a variety of answers to both these questions, therefore the questions, "What is the age of students in the class?" and "How many pencils are sold each day for 5 consecutive days?" show variability in the data obtained.

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