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Let m be the mid-point and l be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is ______. - Mathematics

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Question

Let m be the mid-point and l be the upper-class limit of a class in a continuous frequency distribution. The lower class limit of the class is ______.

Options

  • 2m + l

  • 2m – l

  • m – l

  • m – 2l

MCQ
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Solution

Let m be the mid-point and l be the upper-class limit of a class in a continuous frequency distribution. The lower class limit of the class is 2m – l.

Explanation:

Given: Mid-point = m

Upper class limit = 1

As, we know that, mid-point = `("Upper class-limit" + "Lower class-limit")/2`

So, `m = (l + "Lower class-limit")/2`

l + Lower class-limit = 2m

Lower class-limit = 2m – l

Hence, the lower class limit of the class is 2m – l.

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Chapter 14: Statistics & Probability - Exercise 14.1 [Page 132]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 14 Statistics & Probability
Exercise 14.1 | Q 5. | Page 132

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