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Mathematics

A data has 35 observations arranged in a descending order. Which organization represents the median?

  1. 16th

  2. 17th

  3. 18th

  4. 19th

Measures of Central Tendency

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Answer

We know that,

The value of the middle-most observation obtained after arranging the data in an ascending order, is called median of the data.

Here no. of observations, n = 35

By formula,

Median = n+12 th observation\dfrac{\text{n} + 1}{2} \text{ th observation}

=35+12 th observation=362 th observation=18 th observation= \dfrac{35 + 1}{2} \text{ th observation} \\[1em] = \dfrac{36}{2} \text{ th observation} \\[1em] = 18 \text{ th observation}

Since, given data is arranged in descending order,

Median = 18 th observation.

Hence, Option 3 is the correct option.

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