Question

The following is a list of 10 measurements.-76.-85, 13.-29. 89.-65, 3, 64, -81, -35Suppose that these 10 measurements are respectively labeled X1, X2, ..., X10.

Answer 1

`\text{ANSWER: }\sum ^(10)_{i\mathop{=}1}(x_i-46)=\text{ }-661`

From the given question:

`x_{1\text{ }}=\text{ -76, }x_{2\text{ }}=\text{ -}85,\text{ }x_{3\text{ }}=13,\text{ }x_{4\text{ }}=\text{ -}29,\text{ }x_{5\text{ }}=\text{ 89, }`
`x_{6\text{ }}=\text{ -}65,\text{ }x_{7\text{ }}=\text{ 3, }x_{8\text{ }}=64,\text{ }x_{9\text{ }}=\text{ -}81,\text{ }x_{10\text{ }}=\text{ -35}`
`\sum ^(10)_(i\mathop=1)(x_i-46)=(x_(1-)46)\text{ + }(x_(2-)46)\text{ + }(x_(3-)46)+\cdots+(x_(10-)46)`
`\sum ^(10)_(i\mathop=1)(x_(1-)46)\text{ = }`

(-76-46) + (-85-46) + (13-46) + (-29-46) + (89-46) + (-65-46) + (3-46) + (64-46) + (-81-46) + (-35-46)

`\sum ^(10)_(i\mathop=1)(x_i-46)\text{ = }-122\text{ - }131-33-75\text{ + 43}-111-43\text{ + 18 - 127 - }81`
`\sum ^(10)_{i\mathop{=}1}(x_i-46)=\text{ }-661`