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Biology AS OCR

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  1. 1-1-practical-skills-written-assessment AS
    7 主题
  2. 1-2-practical-skills-endorsement-assessment AS
    16 主题
  3. 2-1-cell-structure AS
    9 主题
  4. 2-2-biological-molecules AS
    17 主题
  5. 2-3-nucleotides-and-nucleic-acids AS
    8 主题
  6. 2-4-enzymes AS
    9 主题
  7. 2-5-biological-membranes AS
    9 主题
  8. 2-6-cell-division-cell-diversity-and-cellular-organisation AS
    11 主题
  9. 3-1-exchange-surfaces AS
    7 主题
  10. 3-2-transport-in-animals AS
    12 主题
  11. 3-3-transport-in-plants AS
    11 主题
  12. 4-1-communicable-diseases-disease-prevention-and-the-immune-system AS
    16 主题
  13. 4-2-biodiversity AS
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  14. 4-3-classification-and-evolution AS
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Exam code:H020

Mathematical Analysis of Results

  • Quantitative investigations of variation can involve the interpretation of mean values and their standard deviations

  • A mean value describes the average value of a data set

  • Standard deviation is a measure of the spread or dispersion of data around the mean

  • A small standard deviation indicates that the results lie close to the mean (less variation)

  • Large standard deviation indicates that the results are more spread out

Graph, downloadable AS & A Level Biology revision notes

Two graphs showing the distribution of values when the mean is the same but one has a large standard deviation and the other a small standard deviation

Comparison between groups

  • When comparing the results from different groups or samples, using a measure of central tendency, such as the mean, can be quite misleading

  • For example, looking at the two groups below

    • Group A: 2, 15, 14, 15, 16, 15, 14

    • Group B: 1, 3, 10, 15, 20, 22, 20

  • Both groups have the same mean of 13

  • However, most of the values in group A lie close to the mean, whereas in group B most values lie quite far from the mean

  • For comparison between groups or samples it is better practice to use standard deviation in conjunction with the mean

  • Whether or not the standard deviations of different data sets overlap can provide a lot of information:

    • If there is an overlap between the standard deviations then it can be said that two sets of results are not significantly different

    • If there is no overlap between the standard deviations then it can be said that two sets of results are significantly different 

Worked Example

A group of scientists wanted to investigate the effects of a specific diet on the risk of coronary heart disease. One group was given a specific diet for 8 weeks, while the other group acted as a control. After the 8 weeks scientists measured the diameter of the lumen of the main artery in the arm of the volunteers. The results of the experiment are shown in Table 1 below:

Example of standard deviation in data table, downloadable AS & A Level Biology revision notes

Use the standard deviations above to evaluate whether the diet had a significant effect? 

[2 marks]

Answer:

Step one: find the full range of values included within the standard deviations for each data set

Experimental group before: 0.67 to 0.71mm

Experimental group after: 0.71 to 0.77mm

Control group before: 0.69 to 0.73mm

Control group after: 0.67 to 0.77mm

Step two: use this information to form your answer

There is an overlap of standard deviations in the experimental group before and after the experiment (0.67~0.71mm and 0.71~0.77mm) so it can be said that the difference before and after the experiment is not significant; [1 mark]

There is also an overlap of standard deviations between the experimental and control groups after the eight weeks (0.71~0.77mm and 0.67~0.77mm) so it can be said that the difference between groups is not significant; [1 mark]

Examiner Tips and Tricks

The standard deviations of a data set are not always presented in a table, they can also be represented by standard deviation error bars on a graph.

Plotting & Interpreting Graphs

  • Plotting data from investigations in the appropriate format allows you to more clearly see the relationship between two variables

  • This makes the results of experiments much easier to interpret

  • First, you need to consider what type of data you have:

    • Qualitative data (non-numerical data e.g. blood group)

    • Discrete data (numerical data that can only take certain values in a range e.g. shoe size)

    • Continuous data (numerical data that can take any value in a range e.g. height or weight)

  • For qualitative and discrete data, bar charts or pie charts are most suitable

  • For continuous data, line graphs or scatter graphs are most suitable

    • Scatter graphs are especially useful for showing how two variables are correlated (related to one another)

Tips for plotting data

  • Whatever type of graph you use, remember the following:

    • The data should be plotted with the independent variable on the x-axis and the dependent variable on the y-axis

    • Plot data points accurately

    • Use appropriate linear scales on axes

    • Choose scales that enable all data points to be plotted within the graph area

    • Label axes, with units included

    • Make graphs that fill the space the exam paper gives you

    • Draw a line of best fit. This may be straight or curved depending on the trend shown by the data. If the line of best fit is a curve make sure it is drawn smoothly. A line of best-fit should have a balance of data points above and below the line

    • In some cases, the line or curve of best fit should be drawn through the origin (but only if the data and trend allow it)

Using a tangent to find the initial rate of a reaction

  • For linear graphs (i.e. graphs with a straight-line), the gradient is the same throughout

    • This makes it easy to calculate the rate of change (rate of change = change ÷ time)

  • However, many enzyme rate experiments produce non-linear graphs (i.e. graphs with a curved line), meaning they have an ever-changing gradient

    • They are shaped this way because the reaction rate is changing over time

  • In these cases, a tangent can be used to find the reaction rate at any one point on the graph:

    • A tangent is a straight line that is drawn so it just touches the curve at a single point

    • The slope of this tangent matches the slope of the curve at just that point

    • You then simply find the gradient of the straight line (tangent) you have drawn

  • The initial rate of reaction is the rate of reaction at the start of the reaction (i.e. where time = 0)

Worked Example

The graph below shows the results of an enzyme rate reaction. Using this graph, calculate the initial rate of reaction.

Tangent initial reaction rate (1), downloadable AS & A Level Biology revision notes

Answer:

Step 1: Estimate the extrapolated curve of the graph

Tangent initial reaction rate (2), downloadable AS & A Level Biology revision notes

Step 2: Find the tangent to the curve at 0 seconds (the start of the reaction)

Tangent initial reaction rate (3), downloadable AS & A Level Biology revision notes
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