Intro to Statistics for ML

Which one of the following statements is true about means and medians?

• An outlier can significantly affect the value of both the mean and the median.

• Means and medians are in general both robust to single outliers.

• An outlier can significantly affect the value of the mean, but not the median.

• The mean and median are equal if there is an odd number of data points.

Select ALL quantitative data examples

• Zip Code

• Age

• Marital Status (Single, Married, Divorced, etc.)

• Income

Select ALL qualitative data examples

• Average Speed

• Ratings on a Survey (Poor, Ok, Great)

• Letter Grades (A+, A, A-, B+, B, B-, ...)

• Travel Distance to Work

Select ALL ordinal data examples

• Nationality

• Gender

• Letter Grades (A+, A, A-, B+, B, B-, ...)

• Ratings ( Poor, OK, Excellent)

A car salesman records information about the cars he is selling. The number of doors is _____ data

• Nominal

• Continuous

• Discrete

• Ordinal

A car salesman records information about the cars he is selling. The colour of each car is _____ data

• Nominal

• Continuous

• Discrete

• Ordinal

A scientist is measuring the volume of air in a balloon. What data type does this example represent?

• Categorical: Nominal

• Categorical: Ordinal

• Numerical: Discrete

• Numerical: Continuous

A coach measures the running time of his athletic team. What data type does this example represent?

• Categorical: Nominal

• Categorical: Ordinal

• Numerical: Discrete

• Numerical: Continuous

A selection of Toothpaste brands are being tested for how well they break down plaque and tooth decay. What data type does this example represent?

• Categorical: Nominal

• Categorical: Ordinal

• Numerical: Discrete

• Numerical Continuous

If we have the data:

5, 8, 15, 7, 10, 22, 3, 1, 15

What is the median?

• 15

• 7

• 9.57

• 8