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Mathematics

The median of first 8 prime numbers is:

  1. 7

  2. 9

  3. 11

  4. 13

Measures of Central Tendency

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Answer

Prime numbers : 2, 3, 5, 7, 11, 13, 17, 19

No. of terms (n) = 8, which is even.

By formula,

Median = n2 th observation+(n2+1) th observation2\dfrac{\dfrac{\text{n}}{2} \text{ th observation} + \Big(\dfrac{\text{n}}{2} + 1\Big) \text{ th observation}}{2}

Substituting values we get:

=82 th observation+(82+1) th observation2=4 th observation+(4+1) rth observation2=4 th observation+5 th observation2=7+112=182=9.= \dfrac{\dfrac{8}{2} \text{ th observation} + \Big(\dfrac{8}{2} + 1\Big) \text{ th observation}}{2} \\[1em] = \dfrac{4 \text{ th observation} + \Big(4 + 1\Big) \text{ rth observation}}{2} \\[1em] = \dfrac{4 \text{ th observation} + 5 \text{ th observation}}{2} \\[1em] = \dfrac{7 + 11}{2} \\[1em] = \dfrac{18}{2} \\[1em] = 9.

Hence, Option 2 is the correct option.

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