A Data Analysis Tool

Basic Math

Arithmetic Skills: 12 - 7x2 + 8/2= 2, 1/3 + 1/6 + 0.8 = 1.3, 25% = 25/100 = 1/4 = 0.25.

Algebraic Skills: 3x - 5 = 19, x = 8

Exponents and Radicals: \(3^2-\sqrt{36}=3\)

Functions: y = 3x + 4.

The topics include

Numerical display of data (e.g. mean, median, mode, range, variance/standard deviation, quartiles, interquartile range, percentiles, and frequency distributions)
Graphical display of data, such as line graphs, bar graphs, pie charts, boxplots, scatterplots;
Chance;
Random variables and probability distributions (e.g. normal distributions);
Statistical inference: confidence interval and hypothesis testing.

In a set of test scores, what is the mean if the scores are 85, 90, 95, and 100?
If a die is rolled, what is the probability of rolling an even number?
If a deck of cards has 52 cards, what is the probability of drawing a spade?
If a bag contains 5 red marbles and 7 blue marbles, what is the probability of drawing a red marble?
If you toss a fair coin twice, what is the probability of getting two heads in a row?
In a set of data, what is the range if the highest value is 80 and the lowest value is 20?
What is the mode in a set of test scores if the score 85 appears most frequently?
If you select one card from a standard deck, what is the probability of selecting a face card (king, queen, or jack)?
If you roll a six-sided die, what is the probability of rolling a 5 or 6?
In a bag, there are 3 red balls, 4 green balls, and 5 blue balls. What is the probability of drawing a green ball?

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