Standard deviation lesson
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Here are the steps to calculate the standard deviation from a grouped frequency table: 1) Calculate the mean (average) of the data 2) Find the mid-point of each group 3) Calculate the frequency x mid-point for each group 4) Sum all the frequency x mid-point values 5) Calculate the mean of the frequency x mid-point values 6) For each data point, calculate (data point - mean)^2 7) Sum all the (data point - mean)^2 values 8) Calculate the standard deviation using the formula: Standard Deviation = Square Root of [Sum of (data point - mean)^2] / (Total number of
Standard deviation lesson
- 1. Entry Activity – Calculate the mean from the frequency table below Height Frequency (cm) 0 ≤ h < 10 5 10 ≤ h < 20 6 20 ≤ h < 30 10 30 ≤ h < 40 2 ∑
- 2. Entry Activity – Calculate the mean from the frequency table below Height Frequency Mid-point F x MP (cm) 0 ≤ h < 10 5 5 25 10 ≤ h < 20 6 15 90 20 ≤ h < 30 10 25 250 30 ≤ h < 40 2 35 70 ∑ 23 435 ∑ (Frequency x Mid-point) ÷ ∑frequency = 435 ÷23 = 18.913034 = 18.9 to 1 d.p.
- 3. Today I will learn to calculate the standard deviation from a: set of data frequency table grouped frequency table Key Words Mean Standard deviation Difference
- 5. Formulas you need to know Calculate the standard deviation for the data below: 6, 7, 8, 11, 13, 15
- 6. Show me how you feel about what we have just done
- 7. Today I will learn to calculate the standard deviation from a: set of data frequency table grouped frequency table Key Words Mean Standard deviation Difference
- 8. Formulas you need to know Calculate the standard deviation for the data below: Shoe size 4 5 6 7 8 Frequency 3 6 9 3 1
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- 10. Today I will learn to calculate the standard deviation from a: set of data frequency table grouped frequency table Key Words Mean Standard deviation Difference
- 11. Formulas you need to know Calculate the standard deviation for the data below: Weight 0 ≤ w < 50 50 ≤ w < 100 100 ≤ w < 150 150 ≤ w < 200 200 ≤ w < 250 Frequency 6 5 4 3 6
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- 13. Today I will learn to calculate the standard deviation from a: set of data frequency table grouped frequency table Key Words Mean Standard deviation Difference
- 14. Work for today 1) Calculate the standard deviation for the data below: 10, 11, 14, 20, 35, 90 2) Calculate the standard deviation for the data in the table below: Detentions 0 1 2 3 Frequency 50 14 6 3 3) Calculate the standard deviation for the data in the table below: Height 0 ≤ h < 500 500 ≤ h < 1000 ≤ h< 1500 ≤ h < (cm) 1000 1500 2000 Frequency 6 5 8 4
- 15. Show me how you feel about what we have just done
- 16. Today I will learn to calculate the standard deviation from a: set of data frequency table grouped frequency table Key Words Mean Standard deviation Difference