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example #1 for susan deans spring pre - calculus class, scores for the …

Question

example #1
for susan deans spring pre - calculus class, scores for the first exam were as follows (smallest to largest):
33; 42; 49; 49; 53; 55; 55; 61; 63; 67; 68; 68; 69; 69; 72; 73; 74; 78; 80; 83; 88; 88; 88; 90; 92; 94; 94; 94; 94; 96; 100
stem and leaf graph:
mode 94 median 73 mean
example #2

Explanation:

Step1: Count the number of data points

There are \(n = 29\) data points.

Step2: Calculate the sum of data points

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Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum x}{n}\). Substituting \(\sum x = 2279\) and \(n = 29\), we get \(\bar{x}=\frac{2279}{29}\approx 78.6\)

Answer:

Mode \(94\), Median \(73\), Mean \(\approx78.6\)