Which data set has the smallest standard deviation?

2 answers:

8 0

The answer would be B.
<span>
Standard deviation basically measures how spread out the values are. Without solving, you can easily tell which one among your choices have a smaller deviation. The closer the values are to each other the smaller the standard deviation. The values of choice B are the closest together, so you can assume that they have the smallest standard deviation. </span>

lubasha [3.4K]3 years ago

7 0

Answer:

(B)1000, 1001, 1002, 1000, 1001, 1001

Explanation:

Standard deviation helps in measuring how spread out the values actually are. Without solving for the standard deviation, the smallest standard deviation of the given data sets can be easily guessed.

The closer the values are to each other, the smaller is the standard deviation. From the given data sets, The values of choice B that are 1000, 1001, 1002, 1000, 1001, 1001 are the closest together and in rest of the options the data sets hare not close to each other, so one can assume that they have the smallest standard deviation.

Hence, option B is correct.

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A ship leaves the island of Guam and sails a distance 255 km at an angle 49.0 o north of west. Part A: In which direction must i

kiruha [24]

Answer:

Explanation:

We shall represent displacement in vector form .Consider east as x axes and north as Y axes west as - ve x axes and south as - ve Y axes . 255 km can be represented by the following vector

D₁ = - 255 cos 49 i + 255 sin49 j

= - 167.29 i + 192.45 j

Let D₂ be the further displacement which lands him 125 km east . So the resultant displacement is

D = 125 i

D₁ + D₂ = D

- 167.29 i + 192.45 j + D₂ = 125 i

D₂ = 125 i + 167.29 i - 192.45 j

= 292.29 i - 192.45 j

Angle of D₂ with x axes θ

tan θ = -192.45 / 292.29

= - 0.658

θ = 33.33 south of east