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Explain Pie Charts ?
If the frequencies are written as percentages, they can be easily compared using a pie chart. The following is an example of a pie chart using the data from the previous two examples:
Step 1: Convert each frequency to a percentage, by dividing the frequency of the events by the total number of events. • The total number of events is 14. • The frequency of {17} is 4. (4+14) 4/14 = 2/7 = 0.2857 = 28.57%• The frequency of {22} is 3.(3+14) = 3/14 = 0.2143 = 21.43%• The frequency of {14 and 15} is 2.(2+14) = 2/14 = 1/7 = 0.1429 = 14.29 %• The frequency of {12, 8, and 9} is 1.(1+14) = 1/14 = 0.0714 = 7.14%
A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.
Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
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