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LekaFEV [45]
3 years ago
7

In the data set below, which of these points is most likely and outlier?

Mathematics
1 answer:
shusha [124]3 years ago
5 0
<h2>Answer:</h2>

Option: D is the correct answer.

                 D.  (2,54)

<h2>Step-by-step explanation:</h2>

We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.

Here  we are given a set of data points as:

         (2,54)

          (4,7)

         (6, 9)

         (8,12)

         (10,15)

Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.

Hence, the data point that is an outlier is:

                  (2,54)

(As 54 is a much high value as compared to other)

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The population of a town has approximately doubled every 17 years since 1950.

the equation P=P_02^k where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

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for 1 year

The equation becomes

P = P_02^\frac{t}{17}                               -------------(1)

Our original equation is

P=P_02^k----------------------------------(2)

equating expression 1  and 2

P_02^\frac{t}{17}=P_{0}2^k

Cancelling P_{0}  from both sides  we get

2^\frac{t}{17}=2^{k}

t/17=k

⇒k=t/17 is the solution.






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