The following is a list of 13 measurements: -38,-89,-47,-43,-70,59,92,97,23,-11,-62,-22,-5. Suppose that these measurements are respectively labeled X1,X2,...,X13 Find the sum when i=1 Xi/30.
Suppose that these 10 measurements are respectively labeled x1 x2 ---x10. (Thus, -61 , is labeled x1 -61 is labeled x2, and so on.)
Find 33x-1 .
To find the sum of the expression Xi/30 where i ranges from 1 to 13, you need to calculate Xi/30 for each measurement and then sum up the results.
1. Start with the given list of measurements:
X1 = -38
X2 = -89
X3 = -47
X4 = -43
X5 = -70
X6 = 59
X7 = 92
X8 = 97
X9 = 23
X10 = -11
X11 = -62
X12 = -22
X13 = -5
2. Now, calculate Xi/30 for each measurement:
X1/30 = -38/30 = -1.27
X2/30 = -89/30 = -2.97
X3/30 = -47/30 = -1.57
X4/30 = -43/30 = -1.43
X5/30 = -70/30 = -2.33
X6/30 = 59/30 = 1.97
X7/30 = 92/30 = 3.07
X8/30 = 97/30 = 3.23
X9/30 = 23/30 = 0.77
X10/30 = -11/30 = -0.37
X11/30 = -62/30 = -2.07
X12/30 = -22/30 = -0.73
X13/30 = -5/30 = -0.17
3. Add up all the results to find the sum:
(-1.27) + (-2.97) + (-1.57) + (-1.43) + (-2.33) + 1.97 + 3.07 + 3.23 + 0.77 + (-0.37) + (-2.07) + (-0.73) + (-0.17) = -3.647
Therefore, the sum when i=1 Xi/30 is approximately -3.647.