Question

The following is a list of 15 measurements.-18, -97, 63, 96, -78, 81, -25, 41, 78, 1, 76, 30, -14, 22, 44Send data to calculatorSuppose that these 15 measurements are respectively labeled X₁, X₂X15 (Thus, -18 is labeled x₁, -97 is labeled x₂, and so on.) Compute the followill15Σ (+47)i=10

Answer 1

SolGiven the list of 15 measurements:

-18, -97, 63, 96, -78, 81, -25, 41, 78, 1, 76, 30, -14, 22, 44

Where the measurements are respectively labeled x1, x2, .......x15.

x1 = -18

Let's compute the given summation:

$\sum_{i\mathop{=}1}^{15}(x_i+47)$

To compute the summation, we have:

$\begin{gathered} \sum_{i\mathop{=}1}^{15}(x_i+47)=(-18+47)+(-97+47)+(63+47)+(96+47)+(-78+47)+(81+47)+(-25+47)+(41+47)+(78+47)+(1+47)+(76+47)+(30+47)+(-14+47)+(22+47)+(44+47) \\ \\ \end{gathered}$

Solving further, we have:

$\sum_{i\mathop{=}1}^{15}(x_i+47)=(29)+(-50)+(110)+(143)+(-31)+(128)+(22)+(88)+(125)+(48)+(123)+(77)+(33)+(69)+(91)$

Thus, we have:

= 29 - 50 + 110 + 143 - 31 + 128 + 22 + 88 + 125 + 48 + 123 + 77 + 33 + 69 + 91

$\sum_{i\mathop{=}1}^{15}(x_i+47)=1005$

Therefore, the value is 1005.

• ANSWER:

1005