Mathematics 7 2nd quarter week 4 presentation measures of central tendency of an ungrouped statistical data

1. MATHEMATICS 7
MEASURES OF CENTRAL TENDENCY OF AN UNGROUPED
STATISTICAL DATA
Prepared by:
JOANNA MAE M. DAVID

2. Learning Competencies with codes
• Illustrates the measures of central tendency (mean, median, and
mode) of a statistical data. (M7SP-IVf-1)
• Calculates the measures of central tendency of ungrouped and
grouped data. (M7SP-IVf-g-1)

3. Background Information
• A measure of central tendency is a summary statistic that
represents a dataset's center point or typical value.
• In statistics, the mean, median, and mode are the three most
common measures of central tendency.

4. Ungrouped Data
Find the mean, median, and mode of the nine (9) students in their
second quarterly grade in Mathematics.
SECOND QUARTERLY GRADES OF NINE (9) STUDENTS IN MATHEMATICS
80 91 82 84 84 79 89 90 77

5. Ungrouped Data
The mean is the average of arithmetic, and it is probably the most familiar
measure of central tendency.
FORMULA:
NUMBER OF DATA = 9

6. Ungrouped Data
NUMBER OF DATA = 9

7. Ungrouped Data
The median is the middle value in a distribution of statistical values arranged in
descending or ascending order.
Given:

8. Ungrouped Data
The mode is defined as the value that appears most frequently in a statistical
range.

9. Activity
• Find the mean, median and mode of the following data:
1. 25, 25, 24, 23, 22, 22, 22, 21, 20, 19, 19
2. 15, 12, 9, 7, 13, 14, 11
3. 21, 23, 22, 23, 25, 25, 27, 28
4. 5, 9, 5, 4, 3, 8, 7, 9, 8, 5
5. 18, 20, 22, 18, 15, 14, 16, 21, 10, 12

10. Assignment
Complete the table by writing the mean, median and mode of the given data.
Show your solutions.
Given Mean Median Mode
2, 3, 8, 9, 4, 6, 5, 3
45, 26, 45, 30, 30, 45, 36, 32, 24
20, 25, 26, 32, 32, 32,24, 24, 36,39

11. Thank you!