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Bunuel

Closing prices for a certain stock were recorded each day for a week in the table above. If the monthly average (arithmetic mean) was 18.43 and the standard deviation was 0.27, how many days during this week did the closing price fall within two standard deviations from the average?

A. 1
B. 2
C. 3
D. 4
E. 5

Attachment:
2016-08-16_1709.png
Standard deviation is a measure of how far is the data generally in a data set from the average of the data set.
Here we're given average \(18.43\) and standard deviation \(0.27\)

Now the statement 2 standard deviations from average means data in the range \((average - (2 * standard deviation)) -> (average + (2 * standard deviation)) \)

So, putting in the values given to us, we need data in range \((18.43 - (2 * 0.27)) -> (18.43 + (2 * 0.27))\)
,i.e., \((17.89) -> (18.97)\)

So, in the table given to us, three values lie in this range, values are: 17.94, 18.19, 18.06.

Hence the answer is C) 3
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