Which of the following choices is the standard deviation of the sample shown here 18, 19, 20, 21, 22 A) 2.5 B) 20 C) /2.5 D) /2 E) 2

Question

asked Aug 28, 2019 38.7k views

2 Answers

Dgrant · Answer 1 · 2019-09-01T20:01:23+0000

Answer:

(D)

Explanation:

The given data set is:

18, 19, 20, 21, 22

Mean of the given data set is given as:

Mean=(18+19+20+21+22)/(5)

Mean=(100)/(5)

Mean=20

Now,

Data values
$(x-{\overline{x})^2$

18 4

19 1

20 0

21 1

22 4

Now, variance is given as:

V=(4+1+0+1+4)/(5)

V=2

The standard deviation is the square root of the variance, thus

SD=√(V)

Thus, option (D) is correct.