Mathematics: Jenna has bought a new hybrid car. each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon) of her car. the results are shown below. 45 44 43 44 45 44 43 6. calculate the standard deviation of these results to the nearest hundredth. be sure to show your work.

-m+6Step-by-step explanation:...

Jenna has bought a new hybrid car. each week for

Ответ:

Irvin2284

06.01.2022

Mathematics

0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

=1+1+1+1=4

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

0,0(0 оценок)

Jenna has bought a new hybrid car. each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon) of her car.
the results are shown below. 45 44 43 44 45 44 43 6. calculate the standard deviation of these results to the nearest hundredth. be sure to show your work.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question