Mean median mode (application)

1. Application of Mean, Median, Mode :
Measures of central tendency such as
the mean, median and mode are all used
to help analyze a set data. They have a wide range
of real-life applications. One practical use of which
is in the field of classroom assessment.

2. Application of Mean, Median, Mode :
Example: Exam scores of 79 students from 2 sections.
Section
A
20 20 20 20 19 19 19 19 19 18
18 18 18 18 17 17 17 17 16 16
16 16 15 15 15 15 14 14 14 13
13 13 13 12 12 11 11 9 8
Section
B
19 19 19 18 18 17 17 17 17 17
16 16 16 16 16 15 15 15 15 14
14 14 14 14 13 13 13 12 11 11
11 10 10 9 9 9 9 7 5 4

3. Application of Mean, Median, Mode :
Computation of MEAN:
𝑥 =
𝑥 𝑖
𝑛
Section A 𝑥 =
𝑥 𝑖
𝑛
=
614
39
= 𝟏𝟓. 𝟕𝟒
Section B 𝑥 =
𝑥 𝑖
𝑛
=
544
40
= 𝟏𝟑. 𝟔𝟎

4. Application of Mean, Median, Mode :
Interpretation:
Mean is simply the average of all the scores.
A higher mean indicates a better performance in the
exam. Since 15.74 > 13.60, we can say that Section A
performs better than Section B.
Note: Since all values are considered in computing the
mean, outliers will affect its resulting value.

5. Application of Mean, Median, Mode :
Computation of MEDIAN:
If 𝑛 is odd, 𝑀𝑑 =
𝑛+1
2
𝑡ℎ 𝑣𝑎𝑙𝑢𝑒
If 𝑛 is even, 𝑀𝑑 =
𝑛
2
𝑡ℎ 𝑣𝑎𝑙𝑢𝑒 +
𝑛
2
+1 𝑡ℎ 𝑣𝑎𝑙𝑢𝑒
2
Section A 𝑀𝑑 =
39+1
2
𝑡ℎ 𝑣𝑎𝑙𝑢𝑒 = 20𝑡ℎ 𝑣𝑎𝑙𝑢𝑒 = 𝟏𝟔
Section B 𝑀𝑑 =
20𝑡ℎ + 21𝑠𝑡
2
=
14 +14
2
= 14

6. Application of Mean, Median, Mode :
Interpretation:
Median is the middle point of the scores when listed in
descending order. This indicates that half of the scores
are above the median and half are below the median.
A higher median indicates a better performance in the
exam. Since 16 > 14, we can say that Section A
performs better than Section B.

7. Application of Mean, Median, Mode :
Computation of MODE:
𝑀𝑜 = 𝑚𝑜𝑠𝑡 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡 𝑣𝑎𝑙𝑢𝑒
Section A 𝑀𝑜 = 𝟏𝟗 𝑎𝑛𝑑 𝟏𝟖 (bimodal)
Section B 𝑀𝑑 = 𝟏𝟕, 𝟏𝟔 𝑎𝑛𝑑 𝟏𝟒 (multimodal)

8. Application of Mean, Median, Mode :
Interpretation:
Mode is the value(s) that occur most often.
In the example, this represents the score that was
obtained the most by the students.
A higher mode may also mean a better performance.