Students were asked over to answer a question at institution and to declare what is most important for them to succeed. Of the numerous replies, the one that that stood out was practice. Persons who usually are successful do not become successful by being born. They work hard and persistence their lives to succeeding. If you tend to obtain your goals, keep this in mind! in the following paragraphs some question and answer examples that you could simply benefit from to upgrade your knowledge and gain insight that will assist you to preserve your school studies.

## Question:

Which data set is the farthest from a normal distribution?

A.2, 3, 3, 4, 4, 4, 5, 5, 6

B.3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10

C.0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3

D.4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8

E.2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

## Answer:

The **data set** that is **more spread out** is data **set E** because it has the highest standard deviation.

The correct answer is **E.**

To** **find the data set with the farthest distribution, we have to determine the standard deviation of each data set.

**SET A**:

2, 3, 3, 4, 4, 4, 5, 5, 6

**deviation of each data from the mean = absolute value of mean minus each data**

deviation of each data from the mean = 2, 1, 1, 0, 0, 0, 1, 1, 2

**SET B:**

3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10

deviation of each data from the mean = 3.7, 2.7, 1.7, 0.7, 0.7, 1.7, 1.7, 1.7, 2.7, 2.7, 3.7, 4.7

**SET C:**

0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3

deviation each data from the mean = 0.2, 0.1, 0.1, 0, 0, 0, 0.1, 0.1, 0.2

**SET D:**

4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8

deviation of each data from the mean = 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2

**SET E:**

2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

deviation of each data from the mean = 4.6, 2.6, 1.6, 1.6, 0.6, 0.6, 1.6, 1.6, 1.6, 2.6, 2.6, 3.6, 3.6, 4.6

The only two data sets with more deviation from the mean is set B and set E.

However, **set E is more spread out than set B** if you consider their first and last deviations from the mean.

set B = (3.7 —— 4.7) and set E = (4.6 ———- 4.6)

Thus, the data set that is more spread out is data set E because it has the highest standard deviation.

They may hopefully help the student handle the question by make use of the questions and answer examples. Then can potentially have some sharing in a group discussion and also learning with the classmate about the topic, so another student also have some enlightenment and still keeps up the school learning.