interpreting performance data

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Interpreting Performance Data. Expected Outcomes . Understand the terms mean, median, mode, standard deviation Use these terms to interpret performance data supplied by EAU. Measures of Central Tendency . Mean … the average score - PowerPoint PPT Presentation

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  • Interpreting Performance Data

  • Expected Outcomes Understand the terms mean, median, mode, standard deviation

    Use these terms to interpret performance data supplied by EAU

  • Measures of Central Tendency Mean the average score

    Median the value that lies in the middle after ranking all the scores

    Mode the most frequently occurring score

  • Which measure of Central Tendency should be used?

    Measures of Central Tendency

  • Measures of Central Tendency The measure you choose should give you a good indication of the typical score in the sample or population.

  • Measures of Central Tendency Mean the most frequently used but is sensitive to extreme scorese.g. 1 2 3 4 5 6 7 8 9 10Mean = 5.5 (median = 5.5)e.g. 1 2 3 4 5 6 7 8 9 20Mean = 6.5 (median = 5.5)e.g. 1 2 3 4 5 6 7 8 9 100Mean = 14.5 (median = 5.5)

  • Measures of Central Tendency Median

    is not sensitive to extreme scores

    use it when you are unable to use the mean because of extreme scores

  • Measures of Central Tendency Mode

    does not involve any calculation or ordering of data

    use it when you have categories (e.g. occupation)

  • A Distribution CurveMean: 54Median: 56Mode: 63

  • The Normal Distribution Curve In everyday life many variables such as height, weight, shoe size and exam marks all tend to be normally distributed, that is, they all tend to look like the following curve.

  • The Normal Distribution CurveIt is bell-shaped and symmetrical about the meanThe mean, median and mode are equalMean, Median, ModeIt is a function of the mean and the standard deviation

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    WELCOME SCREEN

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    Welcome to DISCUS 5 !

    Workbook for Continuous Distributions

    copyright Neville Hunt & Sidney Tyrrell 1995

    INTRODUCTION

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    DISCUS 5 is a workbook about continuous distributions.

    It is designed to help you understand more about : the Normal distribution the Exponential distribution the Student's t distribution the Beta distribution the Chi-squared distribution the Gamma distribution the F distribution the Weibull distribution and to show comparisons between them.

    Self-teaching notes and questions are provided for each topic on separate workcards which are designed to be USED with the workbook.

    There is a spare spreadsheet at the end of the workbook which can be used in the usual way for making notes, recording results, or doing calculations.

    NORMAL DISTRIBUTION HELP SCREEN

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    USING the Normal distribution spreadsheet

    Aim: To see how the Normal distribution alters with different means and standard deviations.

    Three plots are given. Change the means and standard deviations, highlighted in blue, to compare different normal distributions.

    Use workcard 5.1 to learn more. DISCUS 5.1

    DISCUS 5.1

    NORMAL DISTRIBUTION

    Plot 1Plot 2Plot 3

    Mean5000

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    1.040.000370983900

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    4.10.000612996200

    5.120.000719501600

    6.140.00084147700

    7.160.000980594200

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    10.220.001518622100

    11.240.001744387300

    12.260.001996515500

    13.280.002276873900

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    15.320.002929416900

    16.340.003304890700

    17.360.003715091800

    18.380.004161199600

    19.40.00464412700

    20.420.005164474700

    21.440.005722486400

    22.460.006318004400

    23.480.006950429100

    24.50.007618682100

    25.520.008321174400

    26.540.009055781600

    27.560.00981982600

    28.580.010610068400

    29.60.011422709100

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    42.860.021486039600

    43.880.021994741500

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    56.120.021994741500

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    58.160.020913678100

    59.180.020283411800

    60.20.019601447200

    61.220.018874341400

    62.240.018108897700

    63.260.017312060600

    64.280.016490812400

    65.30.015652073500

    66.320.014802608300

    67.340.013948938400

    68.360.013097264600

    69.380.012253399400

    70.40.011422709100

    71.420.010610068400

    72.440.00981982600

    73.460.009055781600

    74.480.008321174400

    75.50.007618682100

    76.520.006950429100

    77.540.006318004400

    78.560.005722486400

    79.580.005164474700

    80.60.00464412700

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    82.640.003715091800

    83.660.003304890700

    84.680.002929416900

    85.70.002587270400

    86.720.002276873900

    87.740.001996515500

    88.760.001744387300

    89.780.001518622100

    90.80.001317325300

    91.820.001138604500

    92.840.000980594200

    93.860.00084147700

    94.880.000719501600

    95.90.000612996200

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    97.940.00044016900

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    99.980.000311549600

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    5.1 The Normal distribution

    NORMAL DISTRIBUTION

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    t DISTRIBUTION HELP SCREEN

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    USING the Student's t Distribution spreadsheet

    Aim: To see how the shape of the Student's t distribution changes as the number of degrees of freedom is altered.

    Three plots are given. Change the values of the degrees of freedom, highlighted in blue, to compare different t distributions.

    Use workcard 5.2 to learn more. DISCUS 5.2

    DISCUS 5.2

    STUDENT'S t DISTRIBUTION

    Plot 1Plot 2Plot 3

    n1410

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