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Mathematics

Let L be the lower class boundary of a class in a frequency distribution and m be the mid-point of the class. Which of the following is the upper boundary of the class?

  1. m + m + L2\dfrac{\text{m + L}}{2}

  2. L + m + L2\dfrac{\text{m + L}}{2}

  3. 2m - L

  4. m - 2L

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Answer

Let U be the upper boundary of the class.

As we know,

The mid-point is the average of the lower boundary and the upper boundary.

m = L + U2\dfrac{\text{L + U}}{2}

⇒ 2m = L + U

⇒ U = 2m - L

Hence option 3 is the correct option.

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