4. •If we are to group the graphs/figures you formed,
which should be together?
•How do these figures differ from each other?
5. OBJECTIVES:
•Determine / enumerate the characteristics of
a normal distribution.
•Sketch / construct a normal curve which
represents a normal distribution.
•Cite real-life examples involving normal
distribution.
6.
7. Normal Distribution
If a distribution consists of a very large number of
cases and the three measures of averages (mean,
median, mode) are equal, then the distribution is
symmetrical and the skewness is 0. In Statistics,
such distribution is called normal distribution or
simply normal curve.
8. The normal curve has a very important
role in inferential statistics. It provides a
graphical representation of statistical
values that are needed in describing the
characteristics of populations as well as
in making decisions. It is defined by an
equation that uses the populations
mean, and the standard deviation. There
is no single curve, but rather a whole
family of normal curves have the same
9. The normal probability distribution has
the following properties:
1. The distribution curve is bell-shaped.
10. 2. The curve is symmetrical about its center.
3. The mean, the median, and the mode
coincide at the center.
4. The width of the curve is determined by
the standard deviation of the distribution.
11. 5. The tails of the curve flatten out indefinitely
along the horizontal axis, always approaching the
axis but never touching it. That is, the curve is
asymptotic to the base line.
6. The area under the curve is 1. Thus, it
represents the probability or proportion or the
percentage associated with specific sets of
measurement values.
19. EVALUATION:
Modified True or False
If the statement is true or check, write the letter T, but if the statement is wrong
then change the underlined word to make the statement right.
1. The standard normal distribution is also called normal
curve.
2. The area under a normal curve is 100.
20. 3. The mean of a standard normal curve is 3.
4. The curve of a normal distribution extends
indefinitely at the tails.
5. The shape of the normal probability distribution is
symmetric about the mean.
In this group activity, each should should have a collaboration with each member. From the tiltle itself “Let us be united” it requires unity and teaming up with one another.
Coincide – occupy the same space. And that certain space is at the center of the curve.
Symmetrical refers to having both halves of the graph equal.
The normal birth weight of a newborn range from 2.5 to 3.5 kg.
The income of a country lies in the hands of enduring politics and government. It depends upon them how they distribute the income among the rich and the poor community. We all are well aware of the fact that the middle-class population is a bit higher than the rich and poor population. So, the wages of the middle-class population makes the mean in the normal distribution curve.
