For those of you who have been ignoring the sigma notation, that is the "E's" above, no longer! (a) Suppose x₁=1, x2 = 2, x3 = 3, ..., X10 = 10. In other words, x; = i where i takes all integer values from 1 to 10. Compute each of the following: 1. ΣΩ ii. Σ/i² (b) Suppose x₁ = 2, x2 = 4 and x3 = 7. Compute ₁1 (x-2). (c) Suppose x, = 2¹. Compute ₁ (x₁) ². DA

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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answer 12 th 

(b) The salaries will be increased by 15% across the board.
(c) The number of employees at each salary level will be decreased
to 90% of their original number.
i. The mean monthly salary in dollars.
ii. The variance of the monthly salaries.
iii. The standard deviation of the monthly salaries.
dar pot sti
iv. The median monthly salary.
v. The modal monthly salary.[1, 1.1.15]
11. The mean salary in a certain plant was $1500, and the standard devi-
ation was $400. A year later each employee got a $100 raise. After
another year each employee's salary (including the above mentioned
raise) was increased by 20%. What are the mean and standard devia-
tion of the current salaries in dollars? [1, 4.2.17]
12. For those of you who have been ignoring the sigma notation, that is the
"E's" above, no longer!
(a) Suppose x₁ =1, x2 = 2, x3 = 3, ..., x10 = 10. In other words, x₁ = i
where i takes all integer values from 1 to 10.
Compute each of the following:
1. ΣΩ
ii. Σ₁₁i²
(b) Suppose x₁ = 2, x2 = 4 and x3 = 7. Compute 1 (x¡ — 2).
(c) Suppose x; = 2¹. Compute E1 (xi) ².
(d) Suppose x₁ = 100, x2 = 95,x3 = 82, x4 = 60. Compute Σ₁₁(x₁ -
60)².
Lisa Orloff Clark
Journal of Inquiry-Based Learning in Mathematics
Transcribed Image Text:(b) The salaries will be increased by 15% across the board. (c) The number of employees at each salary level will be decreased to 90% of their original number. i. The mean monthly salary in dollars. ii. The variance of the monthly salaries. iii. The standard deviation of the monthly salaries. dar pot sti iv. The median monthly salary. v. The modal monthly salary.[1, 1.1.15] 11. The mean salary in a certain plant was $1500, and the standard devi- ation was $400. A year later each employee got a $100 raise. After another year each employee's salary (including the above mentioned raise) was increased by 20%. What are the mean and standard devia- tion of the current salaries in dollars? [1, 4.2.17] 12. For those of you who have been ignoring the sigma notation, that is the "E's" above, no longer! (a) Suppose x₁ =1, x2 = 2, x3 = 3, ..., x10 = 10. In other words, x₁ = i where i takes all integer values from 1 to 10. Compute each of the following: 1. ΣΩ ii. Σ₁₁i² (b) Suppose x₁ = 2, x2 = 4 and x3 = 7. Compute 1 (x¡ — 2). (c) Suppose x; = 2¹. Compute E1 (xi) ². (d) Suppose x₁ = 100, x2 = 95,x3 = 82, x4 = 60. Compute Σ₁₁(x₁ - 60)². Lisa Orloff Clark Journal of Inquiry-Based Learning in Mathematics
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