Expert Answer to "The following table gives the total caseload (in..."

Nefissi8u

Answered question

2021-11-30

The following table gives the total caseload (in millions) in a states

pseudoenergy34

Beginner2021-12-01Added 22 answers

Step 1
Given data is;

\begin{array}{ccc} Y e a r & 2004 & 2005 & 2006 & 2007 & 2008 & 2009 \\ C a s e s & 4.1 & 4.5 & 4.6 & 4.4 & 4.8 & 4.1 \end{array}

Calculation:
To find the mean, we add up all of the sum of the numbers and divide by how many of the numbers are there.

M e a n = \frac{sum of all observations}{Total number of observations}

= \frac{4.1 + 4.5 + 4.6 + 4.4 + 4.8 + 4.1}{6}

= \frac{26.5}{6}

= 4.4166

\approx 4.42

million cases
Step 2
To find the standard deviation is given by;
Standard deviation

= \sqrt{\frac{\sum {(x - m e a n)}^{2}}{N}}

= \sqrt{\frac{{(4.1 - 4.42)}^{2} + {(4.5 - 4.42)}^{2} + \dots + {(4.1 - 4.42)}^{2}}{N}}

= \sqrt{\frac{0.1024 + 0.0064 + 0.0324 + 0.0004 + 0.1444 + 0.1024}{6}}

= \sqrt{\frac{0.3884}{6}}

= \sqrt{0.0647}

= 0.2544

\approx 0.25

million cases
Answer:
Mean

= 4.42

million cases
standard deviation

= 0.25

million cases

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