The happiness score, by generation, conducted in a certain month is gi

Idilwsiw2

Idilwsiw2

Answered question

2021-12-04

The happiness score, by generation, conducted in a certain month is given in the following table (percent indicates the top-two box scores on a five-point happiness scale).
GenerationAverage 18+MillenialsGeneration XBoomerSilent GenarationScore(%)62.658.159.765.070.7
Find the average happiness score for the five generations. ?%
What is the standard deviation for these data? (Round your answer to two decimal places.) ?%

Answer & Explanation

Mary Moen

Mary Moen

Beginner2021-12-05Added 14 answers

Step 1
Obtain the average happiness score for the five generations.
The average happiness score for the five generations is obtained below as follows:
From the information, given that
GenerationXAverage 18+62.6Millenials58.1Generation X59.7Boomer65.0Silent Generation70.7
The required value of mean is,
x=62.6+58.1+59.7+65.0+70.75
=316.15
=63.22
The average happiness score for the five generations is 63.22%.
Step 2
Obtain the value of the standard deviation.
The value of the standard deviation is obtained below as follows:
The required value is,
s=(xix)2n1
=(62.663.22)2+(58.163.22)2+(59.763.22)2+(65.063.22)2+(70.763.22)251
=0.3844+26.2144+12.3904+3.1684+55.95044
=98.10804
=4.95
The value of the standard deviation is 4.95%

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?