Understanding Standard Deviation in National 5 Mathematics

Standard deviation measures the spread of data around the mean, indicating how close or far apart values are from the average. This concept is crucial in analyzing data variability and consistency, with lower values signifying data clustered around the mean and higher values indicating greater dispersion. Explore examples and exam questions to enhance your comprehension of standard deviation in National 5 Applications of Maths.

• Mathematics
• Standard Deviation
• Data Analysis
• National 5

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1. National 5 Applications of Maths Non Calculator Work Standard Deviation Exam Questions

2. National 5 Applications of Maths Standard Deviation Standard Deviation is commonly known as the measure of the spread of data . The standard deviation is the measure of on average how close the data is to the mean.

3. National 5 Applications of Maths Standard Deviation So if the Standard Deviation is small then values in the data are close to the mean If the standard deviation is big then the data is more spread out. http://www.statisticshowto.com/wp-content/uploads/2012/11/standard-deviation-examples1.png

4. National 5 Applications of Maths Standard Deviation If the Standard Deviation is high Greater spread of results Results vary more (more varied) Less consistent If the Standard Deviation is low Results are less spread out Vary less (less varied) More consistent

5. National 5 Applications of Maths Standard Deviation Standard Deviation 1,1,1,1,1,1,1,1,1,1,1 Approx 11 1, 105, 400, 1000, 21000 Approx 2.3 5, 10, 15, 20, 25 Approx 7 90, 91, 92, 92, 93, 93 Approx. 8000 80,81, 82, 90, 100, 110, 130 0

6. National 5 Applications of Maths Standard Deviation

7. National 5 Applications of Maths Standard Deviation Example 1 Find the standard deviation of the following data: 1, 3, 3, 4, 5, 5, 6, 7, 7, 7

8. National 5 Applications of Maths Standard Deviation Example 2 Find the standard deviation of the following data: 2, 5, 11, 14, 14, 22, 37

9. National 5 Applications of Maths Standard Deviation Exam Questions Example 1: The price of milk in shops are as follows 49 44 41 a) Find mean and standard deviation of the prices of milk 52 47 43

10. National 5 Applications of Maths Standard Deviation Example 1: The price of milk in shops are as follows 49 44 41 b) The prices of sugar in shops have an average prove of 52p and a standard deviation of 3.9. Make two valid comparisons between the prices of milk and sugar. 52 47 43

11. National 5 Applications of Maths Standard Deviation Example 2: The prices (in pounds) of 6 two-bedroom flats in Glasgow are as follows 85000 98000 140000 110000 120000 a) Calculate the mean and standard deviation of the prices of the flats.

12. National 5 Applications of Maths Standard Deviation Example 2: The prices (in pounds) of 6 two-bedroom flats in Glasgow are as follows 85000 98000 140000 110000 120000 b) The mean price for a two bedroom flat in Edinburgh is 128000 and the standard deviation is 2600. Make two valid comparisons about the prices of flats in Glasgow and Edinburgh.