Relative Frequency How to calculate relative frequency Noemi
- Slides: 36
Relative Frequency How to calculate relative frequency Noemi Navas Arranz
1. First of all, count the number of times that each piece of data is repeated. Football Team Tally marks Absolute Relative Frequency Barça IIII Real Madrid IIII II Espanyol III Total number of events
Football Team Tally marks Absolute Relative Frequency Barça IIII Real Madrid IIII II Espanyol III Total number of events
This is the absolute frequency. Football Team Tally marks Absolute Relative Frequency Barça IIII 15 Real Madrid IIII 7 Espanyol III 3 Total number of events
2. Next, count the total number of events. Football Team Tally marks Absolute Relative Frequency Barça IIII 15 Real Madrid IIII II 7 Espanyol III 3 Total number of events
Football Team Tally marks Absolute Relative Frequency Barça IIII 15 Real Madrid IIII II 7 Espanyol III 3 Total number of events 25
3. Now, write a fraction for each piece of data. Write the absolute frequency as the numerator and the total number of events as the denominator. Football Team Tally marks Absolute Relative Frequency Barça IIII 15 Real Madrid IIII II 7 Espanyol III 3 Total number of events 25 15 25 Numerator Denominator
The fraction is the relative frequency. Football Team Tally marks Absolute Relative Frequency Barça IIII 15 15 25 Real Madrid IIII II 7 7 25 Espanyol III 3 3 25 Total number of events 25
4. Then, divide the numerator by the denominator. Use a calculator. Football Team Tally marks Absolute Relative Frequency Barça IIII 15 15 25 IIII II 7 7 25 3 3 25 Real Madrid Espanyol Total number of events III 25 15: 25=
Round the result up or down to the nearest hundredth. Football Team Tally marks Absolute Relative Frequency Barça IIII 15 15 25 IIII II 7 7 25 3 3 25 Real Madrid Espanyol Total number of events III 25 15: 25=0, 60
The result of the fraction is also the relative frequency. Football Team Tally marks Absolute Frequency Relative Frequency Barça IIII 15 15 25 =0, 60 Real Madrid IIII II 7 7 25 =0, 28 3 3 25 =0, 12 Espanyol Total number of events III 25
5. What happens if you add up all the relative frequencies? 0, 60 + 0, 28 + 0, 12 = 1 Why is it 1? Because the sum of all the relative frequencies is the unit.
6. Look at these additions. Can you see any differences? 0, 60 0, 28 + 0, 12 1, 00 0. 60 0. 28 + 0. 12 1. 00 The only difference is the use of different symbols for the decimals: the comma and the point.
Catalan and Spanish speaking countries use the comma for decimals. English speaking countries use the point. 0, 60 0, 28 + 0, 12 1, 00 0. 60 0. 28 + 0. 12 1. 00
Let’s calculate the relative frequency!
1. First of all. . . Favourite food Tally marks Pizza IIII II Vegetables IIII II Fruit IIII Meat III Pasta IIII Total number of events Absolute Relative Frequency
Count the number of times that each piece of data is repeated. This is the. . . Favourite food Tally marks Pizza IIII II Vegetables IIII II Fruit IIII Meat III Pasta IIII Total number of events Absolute Relative Frequency
Absolute frequency Favourite food Tally marks Pizza Vegetables IIII II II Fruit IIII Meat III Pasta IIII Total number of events Absolute Relative Frequency
This is the absolute frequency Favourite food Tally marks Absolute Relative Frequency Pizza IIII II 12 Vegetables IIII II 7 Fruit IIII 8 Meat III 3 Pasta IIII 10 Total number of events
2. Next. . . Favourite food Tally marks Absolute Relative Frequency Pizza IIII II 12 Vegetables IIII II 7 Fruit IIII 8 Meat III 3 Pasta IIII 10 Total number of events
Count the total number of events. Favourite food Tally marks Absolute Relative Frequency Pizza IIII II 12 Vegetables IIII II 7 Fruit IIII 8 Meat III 3 Pasta Total number of events IIII 10
So, how many people answered the question? Favourite food Tally marks Absolute Relative Frequency Pizza IIII II 12 Vegetables IIII II 7 Fruit IIII 8 Meat III 3 Pasta IIII 10 Total number of events 40
3. Now. . . Favourite food Tally marks Absolute Relative Frequency Pizza IIII II 12 Vegetables IIII II 7 Fruit IIII 8 Meat III 3 Pasta IIII 10 Total number of events 40
Write a fraction for each piece of data. How? Favourite food Tally marks Absolute Relative Frequency Pizza IIII II 12 Vegetables IIII II 7 Fruit IIII 8 Meat III 3 Pasta IIII 10 Total number of events 40
Write the absolute frequency as the numerator and the total number of events as the denominator. Favourite food Tally marks Pizza Vegetables Fruit IIII III Absolute Relative Frequency 12 7 8 Meat III 3 Pasta IIII 10 Total number of events 40 12 40 Numerator Denominator
The fraction is. . . Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 7 7 40 8 8 40 3 3 40 10 10 40 40
The fraction is the relative frequency. Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 7 7 40 8 8 40 3 3 40 10 10 40 40
4. Then. . . Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 7 7 40 8 8 40 3 3 40 10 10 40 40
Divide the numerator by the denominator. Use. . . a calculator. Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 7 7 40 8 8 40 3 3 40 10 10 40 40 12: 40=
Round the result up or down to. . . Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 7 7 40 8 8 40 3 3 40 10 10 40 40 12: 40=
Round the result up or down to the nearest hundredth. Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 7 7 40 8 8 40 3 3 40 10 10 40 40 12: 40=0, 30
The result of the fraction is. . . Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 =0, 30 7 7 40 =0, 18 8 8 40 =0, 20 3 3 40 =0, 08 10 10 40 =0, 25 40
The result of the fraction is also the relative frequency. Favourite food Tally marks Pizza Vegetables Fruit Meat Pasta Total number of events IIII III IIII Absolute Relative Frequency 12 12 40 =0, 30 7 7 40 =0, 18 8 8 40 =0, 20 3 3 40 =0, 08 10 10 40 =0, 25 40
5. What happens if you add up all the relative frequencies? 0, 30 + 0, 18 + 0, 20 + 0, 08 + 0, 25 = 1 Why is it 1? Because the sum of all the relative frequencies is the unit.
6. Work in groups. Order the steps of the process to calculate the relative frequency. When you finish write the numbers in your worksheet individually.
7. In groups, calculate the relative frequency for your own data.
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