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2 years ago

How do I find the median for 77,82,87,85,32,78?

Mathematics

1 answer:

alisha [4.7K]2 years ago

5 0

Answer:

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle

Arrange the data in ascending order ( smallest to largest )

32, 77, 78, 82, 85, 87

There is no value exactly in the middle, use the average

median = $\frac{78+82}{2}$ = $\frac{160}{2}$ = 80

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$y = 3 \pm \sqrt{21}$

EXPLANATION

The quadratic equation is:

${y}^{2} - 6y - 12 = 0$

Group variable terms:

${y}^{2} - 6y = 12$

Add the square of half, the coefficient of y to both sides.

${y}^{2} - 6y + ( - 3) ^{2} = 12 + ( - 3) ^{2}$

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The LHS us now a perfect square trinomial:

${(y - 3)}^{2}= 21$

Take square root:

$y - 3 = \pm \sqrt{21}$

$y = 3 \pm \sqrt{21}$

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