MMD1110 Introduction to data analysis

When you finish this unit, you should be able to:

1. 1

   Distinguish between categorical and numerical data, construct and use frequency table, understand the meaning of mode and determine its value, construct and apply bar graphs, historgrams and dot plots in writing statistical reports

2. 2

   Decide how to describe a distribution with just one or two statistics, calculate, interpret, and use median, distinguish between range and IQR, apply a five-number summary in statistical problems, construct and apply a box plot

3. 3

   Calculate and interpret mean and standard deviation (using raw data, frequency or grouped frequency table), recognise the difference between mean and median, apply the 68-9599.7% rule, understand and use standard scores, and be familiar with a simple random sample and the way it is formed.

4. 4

   Understand and interpret properties of probability, addition rule, conditional probability, and independence, use Venn diagrams, tree diagrams and Karnaugh maps to determine probabilities for compound events.

5. 5

   Recognise statistical tools for displaying and describing relationships between two categorical variables, a categorical and a numerical variable and two numerical variables, understand the meaning of a causal relationship

6. 6

   Understand how to use the relationship between two numerical variables for prediction, know what is linear regression, the meaning of the method of least squares, recognise and apply interpolation and extrapolation

7. 7

   Know the meaning of data transformation, comprehend the effect of applying a squared or reciprocal transformation to the x- variable and to the y- variable, how to choose a suitable transformation for the data, how to carry out a regression analysis with transformed data.