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State true or false.

The monthly profits (in Rs.) of $100$ shops are distributed as follows.

The histogram for the data is:

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True

False

answer is A.

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Detailed Solution

Given a table of data about the monthly profit of 100 shops.
Question Image

For the interval, the class marks is obtained by,
Class marks

= U p p e r class limit+Lower class limit 2

.
So, for the interval 0 – 50, the class marks is given by,

= 0 + 50 2 = 502 = 25

For the interval 50 – 100, the class marks is given by,

= 50 + 100 2 = 1502 = 75

For the interval 100 – 150, the class marks is given by,

= 100 + 150 2 = 2502 = 125

For the interval 150 – 200, the class marks is given by,

= 150 + 200 2 = 3502 = 175

For the interval 200 – 250, the class marks is given by,

= 200 + 250 2 = 4502 = 225

For the interval 250 – 300, the class marks is given by,

= 250 + 300 2 = 5502 = 275

The table with the class marks is given by,
Question Image

Take the horizontal axis

=

Profits per shop.
Vertical axis

=

No. of shops.
So, the histogram with frequency polygon is:
Question Image

Hence, the given table is true.
Hence, option 1 is correct.

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