project: Assessment: Basic data analysis - part 1

Tags technical-assessment
Hard Prerequisites
IMPORTANT: Please review these prerequisites, they include important information that will help you with this content.
  • TOPICS: Unit 1 - Introduction to Statistics

    • Note about submission format

    On Tilde you’ll notice that this card is asking for a link submission. Please don’t worry about submitting a link. You will be assessed according to TOPIC: Introduction to live assessments .

    All concepts

    For each of the concepts covered below, the learner should know how to do the calculations by hand. If the learner only knows how to do this work using data science tooling (e.g. pandas) then they won’t be in a good position to apply the tools correctly or reason about their output.

    Mean (Average value):

    Given a list of numbers, the learner should be able to calculate the mean:

    For example, the average of [87, 94, 78, 77, 85, 86] is 84.5.

    Median

    Given a list of numbers the learner should be able to calculate the median. Make sure to check that they know how to handle:

    • lists with an even number of elements. For example : [87, 94, 78, 77, 85, 86]
    • lists with an odd number of elements. For example : [87, 94, 77, 85, 86]
    • lists that aren’t sorted. For example : [30,2,12,1,8]

    Mode

    Given a list of numbers, the learner should be able to calculate the mode.

    Example 1: [2,3,4,2] Example 2: [2,3,4,2,3]

    Interquartile range IQR

    Given a list of numbers, the learner should be able to calculate the 1st, 2nd and 3rd quartile.

    Make sure to check that they know how to handle:

    • lists with an even number of elements. For example : [87, 94, 78, 77, 85, 86]
    • lists with an odd number of elements. For example : [87, 94, 77, 85, 86]
    • lists that aren’t sorted. For example : [30,2,12,1,8]

    Variance and Standard deviation

    • The learner should be able to calculate the variance and standard deviation of a list of numbers.
    • If you show the learner a plot of some data and ask them if standard deviation is meaningful, they should be able to tell you. For example, is it worth calculating the standard deviation of an exponential distribution?
    • If you have a normal distribution where the curve is flat, and another one where the curve is pointy, then which one has the higher standard deviation?

    Correlation

    The learner should know:

    • What is correlation and how do we measure it?
    • What is the minimum value that the correlation coefficient can have? What does it mean if we have this value?
    • What is the maximum value that the correlation coefficient can have? What does it mean if we have this value?
    • What does it mean if the correlation coefficient is 0?

    Show the learner some scatter plots and ask them to tell you about the correlation of the various plots.

    Resources

    Unit 1: Introduction to Statistics on KhanAcademy

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