The presentation is all about measures of central tendency and measures of positions. It shows also several illustrative examples for more understanding of the topic. Each term like mean , median and mode at the same time, quartiles, deciles and percentiles are also being defined. Each measures of central tendency and each measures of position are illustrate and provided with several examples.
2. MATH 10
WEEK 1
QUARTER 4
Measures of
Position
OBJECTIVE
S
1. Definethefollowing
measuresof position:
quartiles,deciles,and
percentiles;
2. Illustratethefollowing
measuresof position:
quartiles,deciles,and
percentiles.
Lyn on me
12. Measures of Position
- are numerical
measures that are used
to describe the standing
or location of an
observation relative to
the rest of the data.
14. Quartiles
- are points that divide a ranked
data into four equal parts. Each
set of data has three quartiles.
15. - is a number such that at most one-
fourth or 25% of the data are smaller
in value than Q1 and at most three-
fourths or 75% are larger.
First Quartile
19. 1. List the data in increasing order. Label
the positions of the numbers, if
necessary.
Given:
1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
14, 23, 19, 36, 25, 45, 39
20. 1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
2. Compute for Q1.
For ๐ธ๐:
Locate the term.
21. 1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
Computing for โ
Therefore, 19 is the first
quartile (Q1) which is exactly
the 2nd number in the list.
22. - is a number such that one-half
or 50% of the data are below
and above in value than Q2.
Second Quartile
26. 1. List the data in increasing
order. Label the positions of
the numbers, if necessary.
1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
Given:14, 23, 19, 36, 25, 45, 39
27. 2. Compute for Q2.
For ๐ธ2:
Locate the term.
1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
28. 1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
Computing for โ
Therefore, 25 is the second
quartile (Q2) which is exactly
the 4th number in the list.
29. is a number such that at most three-
fourths or 75% of the data are
smaller in value than Q3,,and at
most one- fourth or 25% are larger.
Third Quartile
33. 1. List the data in increasing
order. Label the positions of
the numbers, if necessary.
1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
Given:14, 23, 19, 36, 25, 45, 39
34. 2. Compute for Q3.
For ๐ธ3:
Locate the term.
1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
35. 1st 2nd 3rd 4th 5th 6th 7th
14 19 23 25 36 39 45
Computing for โ
Therefore, 39 is the third
quartile (Q3) which is exactly
the 6th number in the list.