Back to 课程

Biology_Alevel_Ocr

0% Complete
0/0 Steps
  1. 4-1-communicable-diseases-disease-prevention-and-the-immune-system
    16 主题
  2. 4-2-biodiversity
    10 主题
  3. 4-3-classification-and-evolution
    15 主题
  4. 5-1-communication-and-homeostasis
    4 主题
  5. 5-2-excretion
    10 主题
  6. 5-3-neuronal-communication
    9 主题
  7. 5-4-hormonal-communication
    4 主题
  8. 5-5-plant-and-animal-responses
    16 主题
  9. 5-6-photosynthesis
    10 主题
  10. 5-7-respiration
    14 主题
  11. 6-1-cellular-control
    7 主题
  12. 6-2-patterns-of-inheritance
    13 主题
  13. 6-3-manipulating-genomes
    11 主题
  14. 6-4-cloning-and-biotechnology
    14 主题
  15. 6-5-ecosystems
    7 主题
  16. 6-6-populations-and-sustainability
    6 主题
  17. 1-1-practical-skills-written-assessment
    7 主题
  18. 1-2-practical-skills-endorsement-assessment
    16 主题
  19. 2-1-cell-structure
    9 主题
  20. 2-2-biological-molecules
    17 主题
  21. 2-3-nucleotides-and-nucleic-acids
    8 主题
  22. 2-4-enzymes
    9 主题
  23. 2-5-biological-membranes
    9 主题
  24. 2-6-cell-division-cell-diversity-and-cellular-organisation
    11 主题
  25. 3-1-exchange-surfaces
    7 主题
  26. 3-2-transport-in-animals
    12 主题
  27. 3-3-transport-in-plants
    11 主题
课 Progress
0% Complete

Standard Deviation

Mean

  • A mean value is what is usually meant when the term “average” is used in biology

Mean = sum of all measurements ÷ number of measurements

  • Problems with the mean occur when there are one or two unusually high (or low) values in the data (outliers) which can make the mean too high (or too low) to reflect any patterns in the data

  • The mean is sometimes referred to as X̄ in calculations

Standard Deviation

  • The mean is a more informative statistic when it is provided alongside the standard deviation

  • Standard deviation measures the spread of data around the mean value

    • It is very useful when comparing consistency between different data sets

  • The mean must be calculated before working out the standard deviation

Calculating Standard Deviation, downloadable AS & A Level Biology revision notes

Worked Example

15 rats were timed how long it took them to reach the end of a maze puzzle. Their times, in seconds, are given below. Find the mean time.

12, 10, 15, 14, 17,

11, 12, 13, 9, 21,

14, 20, 19, 16, 23

Answer:

Step 1: Calculate the mean

12 + 10 + 15 + 14 + 17 + 11 + 12 + 13 + 9 + 21 + 14 + 20 + 19 + 16 + 23 = 226

226 ÷ 15 = 15.067

Step 2: Round to 3 significant figures

Mean (X̄) = 15.1 seconds

 

Worked Example

The ear lengths of a population of rabbits were measured.Ear lengths (mm): 62, 60, 59, 61, 60, 58, 59, 60, 57, 56, 59, 58, 60, 59, 57Calculate the mean and standard deviation.

Answer:

Step 1: Calculate the mean

Mean = 885 ÷ 15 = 59 mm

Step 2: Find the difference between each value and the mean

Subtract the mean from each value to find the difference

Example: 62 – 59 = 3

Step 3: Square each difference

Square the difference for each value

Example: 32 = 9

Step 4: Total the differences

Standard deviation worked example table_2, downloadable AS & A Level Biology revision notes

Step 5: Divide the total by (n-1) to get value A

36 ÷ (15 – 1) = 36 ÷ 14 = 2.571

Step 6: Get the square root of value A

Standard deviation worked example, downloadable AS & A Level Biology revision notes

Standard Deviation = 1.60

Examiner Tips and Tricks

Constructing a table like the one above can help you to keep track of all your calculations during the exam!