11. Median for Odd Sample:
The median is the middle number when the data
are arranged in order.
Median for Even Sample:
When there are even samples , the median is the
mean of the two middle numbers.
๐๐ =
๐ + 1
2
FORMULA:
Where:
n=number of cases
Md=location of the median
21. MEAN of Grouped Data:
Grouped data are the data or scores that
are arranged in a frequency distribution.
One formula in solving the mean for grouped
data is called midpoint method.
The formula is: ๐ฅ =
๐๐ฅ ๐
๐
๐คโ๐๐๐:
๐ฅ ๐ = ๐๐๐๐ ๐ ๐๐๐๐
๐ = ๐๐๐๐๐ข๐๐๐๐ฆ
22. Example 1. Compute the mean of the scores
of the students in a Mathematics IV test.
30. Example 1. Compute the median of the scores of the
students in a Mathematics IV test.
Class
Interval
f < ๐๐
46 โ 50 1 48
41 โ 45 5 47
36 โ 40 11 42
31 โ 35 12 31
26 โ 30 11 19
21 โ 25 5 8
16 โ 20 2 3
11 โ 15 1 1
i=5 ๐=48
Median Class:
=
48
2
= 24๐กโ
MC
31. Example 2. Solve for the median gross sale
of Aling Melyโs Sari-sari Store for one month.
Class
Interval
f < ๐๐
1,001 โ 1,500 1 1
1,501 โ 2,000 1 2
2,001 โ 2,500 3 5
2,501 โ 3,000 7 12
3,001 โ 3,500 5 17
3,501 โ 4,000 6 23
4,001 โ 4,500 4 27
4,501 โ 5,000 3 30
i=500 ๐=30
Median Class:
=
30
2
= 15๐กโ
MC
32. TRY THIS! Non-Graded Activity
Solve for the median of Scores of Diagnostic
Test of IV-Narra Students .
Class
Interval
f < ๐๐
36 โ 40 1 50
31 โ 35 10 49
26 โ 30 10 39
21 โ 25 16 29
16 โ 20 9 13
11 โ 15 4 4
i=5 ๐=50
Median Class:
=
50
2
= 25๐กโ
MC
20.5
50
13
16
5
Md=24.25
35. MODE of Grouped Data
The mode of grouped data can be approximated using the
following formula:
REMEMBER!
36. Example 1. Compute the MODE of the scores of the
students in a Mathematics IV test.
Class
Interval
f
46 โ 50 1
41 โ 45 5
36 โ 40 11
31 โ 35 12
26 โ 30 11
21 โ 25 5
16 โ 20 2
11 โ 15 1
i=5
Modal Class:
= 31 โ 35
Mo
37. Example 2. Solve for the MODE gross sale of Aling Melyโs
Sari-sari Store for one month.
Class Interval f
1,001 โ 1,500 1
1,501 โ 2,000 1
2,001 โ 2,500 3
2,501 โ 3,000 7
3,001 โ 3,500 5
3,501 โ 4,000 6
4,001 โ 4,500 4
4,501 โ 5,000 3
i=500
Modal Class:
= 2501 โ 3000
Mo
38. TRY THIS.
Compute the MODE of the height of IV-2 Students
Height in cm f
175 โ 179 2
170 โ 174 5
165 โ 169 8
160 โ 164 11
155 โ 159 21
150 โ 154 14
145 โ 149 17
140 โ 144 2
i=5
Modal Class:
= 155 โ 159
Mo
๐๐ ๐๐ = 154.5
๐ท1 = 21 โ 14 = 7
๐ท2 = 21 โ 11 = 10
๐ = 5
๐๐ =156.56