Mathematics: Scores of iq test have bell-shaped distribution with a mean of 100 and a standard deviation of 18. use the empirical rule to determine the following. a. what percentage of people has an iq score between 46 and 154? b. what percentage of people has an iq scores less than 82 or greater than 118? c. what percentage is greater than 118?

15.2 lbsStep-by-step explanation:Make a ratio: 150 : 24 = 95 : x75x = 1140x = 15.2...

Scores of iq test have bell-shaped distribution

Ответ:

sadieruegner393

13.01.2022

Mathematics

99.7 % of people has an IQ score between and 154 .

% of people has an IQ scores less than or greater than 118 .

% percentage is greater than 118 .

A) Mean = 100

Standard deviation = 18

IQ between and 154

For $(46,154) = (100-3\times 18, 100+3\times 18)$

P(46

=P(-3 %

$(-\infty, 82)U(118, \infty)=(-\infty, 100-1\times 18)U(100+1\times 18, \infty)$

P((X118))=P(Z1)

=1-P(-1

According to the empirical rule, approximately % of a normal distribution falls within one standard deviation of the mean

100 % -P(-1 %

P(-1 %

Now, since those with IQ greater than 118 comprise half of the above percentage (due to the distribution's symmetry),

$P(Z1)\approx 50$ % $\times 32$ % =16 %

Learn more about mean, standard deviation here :link

0,0(0 оценок)

Ответ:

ysabel0420

13.01.2022

Mathematics

Since $(46,154)=(100-3\times18,100+3\times18)$ , you have

$\mathbb P(46$

Since $(-\infty,82)\cup(118,\infty)=(-\infty,100-1\times18)\cup(100+1\times18,\infty)$ , you have

$\mathbb P((X118))=\mathbb P(Z1)=1-\mathbb P(-1$

The empirical rule says that approximately 68% of a normal distribution falls within one standard deviation of the mean, you have

$100\%-\mathbb P(-1$

Finally, since those with IQ greater than 118 comprise half of the above percentage (due to the distribution's symmetry), you have

$\mathbb P(Z1)\approx50\%\times32\%=16\%$

Scores of iq test have bell-shaped distribution with a mean of 100 and a standard deviation of 18. u