WEEK 9
TOPIC: STATISTICS
MEANING AND USES OF STATISTICS
Statistics is the branch of mathematics which deals with the study of data. It involves
- Gathering (collecting data)
- Sorting and tabulating data
- Presenting data usually means of diagrams
- Interpreting results.
USES OF STATISTICS
- For record keeping
- To forecast or predict future events
- For planning purposes
- For decision making
- To gather information this can be passes from one source to another.
TYPES OF DATA
Qualitative data: this is non- numerical data which can only be described in words. Examples are name, place colour, sex etc.
Quantitative data: A numerical data which is usually given in form of measurement.
FREQUENCY TABLE
EXAMPLE 1: The following figures show the number of children per family in a sample of 40 household. 1, 2, 4, 3, 5, 3, 8, 3, 2, 3, 4, 5, 6, 5, 4, 2, 1, 3, 2, 4, 5, 3, 8, 7, 6, 5, 4, 5, 7, 6, 3, 8, 6, 3, 5, 7, 5, 4, 3.
- Use a tally mark to prepare a frequency table for the data
- What is the highest frequency of numbers of children per family?
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Solution
NUMBER TALLY FREQUENCY
1 // 2
2 //// 5
3 //// //// 9
4 //// / 6
5 //// /// 8
6 //// 4
7 /// 3
8 /// 3
40
3 is the highest frequency of numbers of children
Example 2: In a further mathematics test the following marks were obtained by a group of students 85, 75, 95, 80, 75, 80, 90, 84, 95, 84, 85, 80, 80, 75, 80, 75, 80, 84, 81, 80, 75, 90, 80.
Use tally mark to prepare a frequency table for this data.
Solution:
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NUMBER TALLY FREQUENCY
75 //// 5
80 //// 9
81 / 1
84 /// 3
85 // 2
90 /// 3
95 // 2
- How many students took part in the test? 25 students
- Which mark had the highest frequency? 80 marks