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How spread out?
Write data_range(data), variance(data) and std_dev(data) (population versions, dividing by n). Print them for the data, rounding the standard deviation to 4 decimal places.
Learn
Two classes can have the same mean mark and very different spreads. The range is biggest minus smallest. The variance is the average of the squared distances from the mean, and the standard deviation is its square root, which puts the spread back in the original units. For the whole population you divide by n.
Your task
Write data_range(data), variance(data) and std_dev(data) (population versions, dividing by n). Print them for the data, rounding the standard deviation to 4 decimal places.
Stretch challenge
Use n - 1 instead of n (the sample version) and compare the two.
Press Run to see what your program prints.
More in this module
Keep going in Coding Grandmaster
Averages
Write mean(data), median(data) and mode(data). If several values tie for most common, mode returns the smallest of them. Print all three for the list.
Start โ27Quartiles and outliers
Write quartiles(data) returning (q1, q2, q3) by the method above, and outliers(data) returning the sorted list of outliers by the 1.5 ร IQR rule.
Start โ28A histogram in text
Count how many students got each grade and print one line per grade in alphabetical order, like A | #### 4.
Start โ29Do two things move together?
Write correlation(xs, ys) that returns Pearson's r rounded to 4 decimal places. Print it for study hours against marks.
Start โ30Scaling and z-scores
Write min_max(values) and z_scores(values) (use the population standard deviation). Both return lists with each number rounded to 2 decimal places.
Start โPractise the idea
๐ฏ Play Estimation Station
Estimate big sums without a calculator and see how close you get.
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