For the following sets of data: (a) Compute each standard deviation. (b) Prepare a line graph showing the value associated with each deviation, lo, $20, and $30. (c) Check each interval (between lo, +20, and +30) to determine whether it contains the expected number of given values. If not, what does this mean? 5. 8, 10, 12, 16, 19 6. 41, 45, 53, 54, 57 7. 28, 34, 35, 35, 40, 44 8. 26, 29, 29, 30, 30, 31, 32, 33 9. 31, 32, 35, 41, 44, 44, 46, 47 10. 55, 57, 58, 59, 59, 60, 60, 63, 64, 65 1 1. 23, 24, 25, 31, 31, 34, 36, 36 12. 68. 72, 72, 73, 73, 73, 74, 75, 75, 75 13. 14, 15, 16, 18, 20, 20, 23, 23, 25, 26 14. 74, 79, 80, 80, 81, 81, 82, 84, 84, 85The computation of standard deviation from a set of grouped data in a frequency distribution requires more time and explanation than can be included in introducto business math. However, we can compute the standard deviation for a set of up grouped values. Using this type of data, the formula for standard deviation is Ed2 n where the symbols are as follows: = standard deviation E = "the sum of" 1 = the square of the deviations from the mean (for each given value) n = the number of values given = "the square root of" STANDARD DEVIATION PROCEDURE 1. Find the mean: Add the given data and divide by n. 2. Find each deviation, d: Subtract the mean from each given value, obtaining ei- ther a positive or a negative difference. (The sum of these deviations must be 0.) 3. Square each deviation and find their sum, Ed 4. Apply the standard deviation formula, o = ZP3 n : Divide Ed2 by n and take the square root. (If the square root is not a whole number, let the standard devi- ation remain in V form.)