3-2 example13

3-2 example13 - Student: Grady Simonton Colu'se: Mathll9:...

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Unformatted text preview: Student: Grady Simonton Colu'se: Mathll9: Elementaiy Statistics - Spring 3010 - CRN: 49339 Instructor: Shawn Pan-'ini - 16 weeks Date: 3.418410 Book: T1'iola: Eleinentaiy Statistics. lle Time: 11:34 AM Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 50.9 degrees. Low Temperature ( n F) 40 — 44 45 — 49 50 — 54 55 — 59 60 — 64 Frequency 4 8 14 6 I When working with data summarized in a frequency distribution, the exact values falling in a particular class are unknown. To make calculations possible, pretend that in each class, all sample values are equal to the class midpoint. Then use the following formula, where f is the frequency and x is the midpoint of each class. to find the mean ofthe frequency distribution. Start by finding the class midpoints. The midpoint of two numbers is their mean. Temperature Frequency f Class Midpoint x 40—44 4 40$42 45—49 8 47 50—54 14 52 55— 59 6 57 60— 64 1 62 Now multiply the frequencies by their midpoints. Temperature Frequencyf Class Midpoint f-x x 40 — 44 4 42 168 45 - 49 8 47 3% 50 - 54 14 52 7'28 55 — 59 6 57 342 60 - 64 1 62 62 Sum the frequency column and the f - 2; column. Page 1 Student: Grady Silnonton Colu'se: 1\-Iat11119: ElenIentaiy Statistics - Spring 3010 - C‘RN: 49339 Instructor: Shawn Pan-ini - 16 weeks Date: 3.-"'18.-"'10 Book: T1‘iola: ElenIentaiy Statistics. Me Time: 11:34 AM Temperature Frequency f Class Midpoint f- x X 40 — 44 4 42 168 45 — 49 s 47 376 50 — 54 14 52 728 55 — 59 6 57 342 60 — 64 1 62 62 Totals: 2f: 33 2 (f. x) = 1626 Substitute the sums found in the previous step into the formula to find the mean of the data from the frequency distribution. 20%) Zr 16?6 33 a! 50.8 degrees X The computed mean and the actual mean are considered close if the difference is less than 5% of the actual mean. Otherwise the means are said to be substantially different. Page 3 ...
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3-2 example13 - Student: Grady Simonton Colu'se: Mathll9:...

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