Weighted Average - HP 49g+ User Manual

Weighted average

Suppose that the data in list S, defined above, namely:
S = {1,5,3,1,2,1,3,4,2,1}
is affected by the weights,
W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
If we define the weight list as W = {w
element in list W, above, can be defined by w
SEQ to generate this list, and then store it into variable @@@W@@@ as follows:
Given the data list {s , s
1
weighted average of the data in S is defined as
To calculate the weighted average of the data in list S with the weights in list
W, we can use th e following steps:
1. Multiply lists S and W:
2. Use function ΣLIST in this result to calculate the numerator of s
,w ,...,w
1 2
k
, ..., s }, and the weight list {w
2 n
n
∑
w s
k k
s k = 1
w
n
∑
w
k
k = 1
}, we notice that the k -th
n
= k. Thus we can use function
, w , ..., w }, the
1 2 n
.
:
w
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