Question

OHHOHOHUPIIIIHIVUT Score: 0 of 1 pt 8 of 2 3.2.7 Find the population variance and standard deviation 4,7 11, 13, 15 Choose the correct answer below. Fill in the answer box to complete your choice (Type an integer or a decimal Do not round) OA. 2 OB. 52 rar Click to select and enter your answers) and then click Check Answer ans 1 part remaining Copyright 2019 Pearson Education Inc. All here to search

Answer 1

Solution:

x	x2
4	16
7	49
11	121
13	169
15	225
$\sum$x = 50	$\sum$x2 = 580

The population variance is $\sigma$ ²

$\sigma$² =  ( $\sum$ x² ) - (( $\sum$ x)² / n ) n -1

=  (580 ( (50 )² / 5 ) 5

   = ( 580 - 500 / 5 )

= (80 / 5 )

= 16

The population variance is $\sigma$ ² = 16

Option A ) is correct.