Question

Complete parts (a) and (b) below, considering the following sample: 2, 3, 7, 5, 1, 8) a) The standard deviation of the sample is approximately Enter your answer as a decimal. Round to the tenths place b) The median of the sample is

Answer 1

Solution :

(a)

n = 6

$\bar x$ = = 26 / 6 = 4.3

r/n

s =  $\sqrt$$\sum$(x - $\bar x$)² / n - 1  

= $\sqrt$(2 - 4.3)² + (3 - 4.3)² + (7 - 4.3)²​​​​​​​ + (5 - 4.3)²​​​​​​​ + (1 - 4.3)²​​​​​​​ + (8 - 4.3)²​​​​​​​ / 6 - 1

= $\sqrt$39.3333 / 5

= 2.8

sample standard deviation = 2.8

b)

Median is the middle most observations in the data when observations are arranged in increasing or decreasing

order of their values.

Median = (3 + 5) / 2 = 4