Question

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

Answer 1

Answer: Option 'e' is correct.

Step-by-step 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 :

$\bar{X}=\dfrac{0+1+1+2+3+5}{6}=\dfrac{12}{6}=2$

2) Median:

0,1,1,2,3,5

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

Median = $\dfrac{1+2}{2}=\dfrac{3}{2}=1.5$

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.

Answer 2

Answer:

Correct answer is (E)

Step-by-step explanation:

Took the test on Plato Math and got it right

Hope I helped :D