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# 9FA1 - b Find variance and standard deviation 4 The grade...

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Econ. 180. Assignment 1. ***. Please show your calculation explicitly. ***. 1. Explain the following terms in statistics carefully. (1). Statistics. (2). population and sample. (3). random sample. (4). mean, median and mode. _ (5). variance and standard deviation. (6). μ and x. (7). σ and s. 2. A company owns 11 commercially zoned parcels of land. The assessment rates (in %) assigned to these in 2004 were 18; 10; 15; 13; 17; 15; 12; 15; 18; 16; 11. For this population. a. Find the mean, median, mode. b. Find variance and standard deviation. 3. A dean of a business college is interested in the enrollments in the college’s upper division undergraduate classes. A sample of 8 classes yielded the following enrollments. 35; 21; 14; 46; 31; 27; 20; 40. For this sample. a. Find the mean, median, mode.
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Unformatted text preview: b. Find variance and standard deviation. 4. The grade of the first examination in Business 201 is as follows: Grade Frequency (f i ) Relative Frequency (f i / Σf i ) 90-100 16 80-89 36 70-79 90 60-69 30 50-59 28 Σf i = a. Find the relative frequency. b. Present this set of data by using the relative frequency histogram. c. Calculate the mean (μ), variance (σ 2 ) and standard deviation (σ). [Hint: use midpoint to to represent the value of each class] n 5. A data set contains the observations {3, 1, 3, 2, 1}. Note that Σ represents Σ . Find i=1 a. Σx b. Σx 2 c. Σ(x – 2). d. Σ (x-1) 2 . e. (Σx) 2 . f. Σx 2 – [(Σx) 2 /5] g. Σ(x – 3) 2 . h. Σx 2- 6 6. Show that n _ Σ (x i – x) = 0. i = 1...
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