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The number of accidents at a dangerous intersection in Smalltown during each of the last six years is as follows: 0, 1, 1, 2, 3, 5. For this data set, the standard deviation of the number of accidents in a year (rounded to the nearest tenth) is: (a) Mean < Median < Mode (b) Mean < Mode < Median (c) Median < Mean < Mode (d) Mode < Mean < Median (e) Mode < Median < Mean

2 Answers

5 votes

Answer:

Correct answer is (E)

Explanation:

Took the test on Plato Math and got it right

Hope I helped :D

User LukePOLO
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7 votes

Answer: Option 'e' is correct.

Explanation:

Since we have given that

The number of accidents in Small town during the last six years as follows:

0,1,1,2,3,5.

First we calculate :

1) Mean :


\bar{X}=(0+1+1+2+3+5)/(6)=(12)/(6)=2

2) Median:

0,1,1,2,3,5

As we know that "Median" is the middle value of data:

Median =
(1+2)/(2)=(3)/(2)=1.5

3) Mode:

0,1,1,2,3,5

As we know that Mode is the most occurring element among the data.

So, Mode = 1

Now, we can say that Mode< Median < Mean

Hence, Option 'e' is correct.

User Zohab Ali
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5.3k points