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Question: The blood urea nitrogen (in milligrams per deciliter - mg/dl) count of 20 randomly selected patients is shown in the frequency distribution table. Blood urea nitrogen Frequency 11 - 13 3 13 - 15 4 15 - 17 3 17 - 19 5 19 - 21 5
Find the variance and standard deviation. A ) 6.7, 2.6 B ) 7.9, 2.8 C ) 8.4, 2.9 D ) 6.4, 2.5 Steps to derive 1 The midpoint of each class (blood urea nitrogen) and the product with the frequency is as shown in the table.2 Variance of the sample, s 2 = Σ f X 2 - [ ( Σ f X ) 2 n ] n - 1 [Use n = ∑ f .]3 = 5 6 0 4 - [ ( 3 3 0 ) 2 2 0 ] 1 9 4 = 5 6 0 4 - 5 4 4 5 1 9 5 = 1 5 9 1 9 = 8.46 So, the sample variance is 8.4.7 Sample standard deviation, s = s a m p l e v a r i a n c e = 8 . 4 = 2.98 So, the sample standard deviation is 2.9.9 The blood urea nitrogen count of 20 patients has a sample variance of 8.4 and a sample standard deviation of 2.9.Hence the right answer is Option C Click Here To Go Back Few Other Questions - Which of the following is an arithmetic sequence?I. 6, 10, 14, 18, ...II. 8, 11, 14,.. Identify the common difference of the arithmetic sequence. 10, 7, 4, 1, - 2, ..... The nth term of the arithmetic sequence 6, 12, 18, 24, ... is ______... 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