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6 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
The ages of workers in a certain factory are given in the following table.

Age (Year)1921252730
Workers51513157

Find the mode of their ages.

Answer
Here the maximum frequency is 15; but this is the frequency is of two observations.
∴ Mode = 21 and 29 ∴ mode for ages is 21 years and 29 years.
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Question 31 Mark
Find the mode of the following data.

Image

Answer
Here, the maximum frequency is 9.
Since, Mode = observations having maximum frequency
But, this is the frequency of two observations.
∴ Mode = 35 and 37
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Question 41 Mark
In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.

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Answer
Here, the maximum frequency is 25.
Since, Mode = observations having maximum frequency
∴ The mode of the given data is 2.
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Question 51 Mark
Find the class-mark of the class $35-40.$
Answer
Class-mark
$=\frac{\text { Lowerclass limit }+ \text { Upper class limit }}{2}$
$=\frac{35+40}{2}$
$=\frac{75}{2}$
$=37.5$
$\therefore$ Class-mark of the class $35 – 40$ is $37.5$
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Question 61 Mark
For class interval 20 – 25 write the lower class limit and the upper class limit.
Answer
Lower class limit = 20
Upper class limit = 25
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