Mathematical Measurements Practice Problems

If we want to know the direction of the linear relationship between the body mass and density of kangaroos in Australia, which of the following statistical test can we use?

A researcher recorded the heights (in inches) of six participants in a study: 55, 57, 59, 61, 63, and 65. What is the average height of these participants?

A research team collected the following data points on daily hours of sunlight during a particular week: 4, 8, 8, 20, and 26. What is the variance of this dataset?

The average weight of a certain species of adult cat is normally distributed with a mean of 10 pounds and a standard deviation of 2 pounds. What percentage of this cat population weighs between 8 and 12 pounds?

In a normal distribution where the average score on a test is 85 and the standard deviation is 10, what would be the Z-score of a student who scored 105?