Mrs. Thomas wants to put a table in the corner of a room. She considers the measurements of these tables. Table 1 length: 1.5 fe
et width: 2.4 feet diagonal: 3.0 feet Table 3 length: 2.4 feet width: 3.2 feet diagonal: 4.0 feet Table 2 length: 3.2 feet width: 2.8 feet diagonal: 4.0 feet Table 4 length: 2.6 feet width: 1.8 feet diagonal: 3.0 feet The walls forming the corner meet at a 90° angle. Which table will fit snugly in the corner? O Table 1 O Table 2 O Table 3 O Table 4
2 answers:
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Answer:
(a) and
(b) The sample variance is and the sample standard deviation is
Step-by-step explanation:
(a)
The sum of these 17 sample observations is
and the sum of their squares is
(b)
The sample variance, denoted by , is given by
where
Applying the above formula we get that
The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:
Applying the above formula we get that