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sandygarcia65
14.07.2019 •
Mathematics
"scores on a test have a mean of 63 and q3 is 80." the scores have a distribution that is approximately normal. find the standard deviation. round your answer to the nearest tenth.
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Ответ:
Let X be the score on a test. X follows normal distribution with mean 63.
The third quartile q3 = 80
The third quartile is the value that separates data so that 3/4 = 0.75 area lies below q3 and 1/4 =0.25 area lies above q3
Now we know that q3 =80.
P(x < 80) = 0.75
Using z score table we will find z value corresponding to probability 0.75
As there is nor exact probability value 0.75 in table we will consider most closest value which is 0.7486. The z score corresponding to 0.7486 is 0.67
Now we will use z=0.67, mean =63 and x=80 to find standard deviation
0.67 = 17 / standard deviation
standard deviation = 17/0.67 = 25.37
The population standard deviation is 25.37
Ответ:
since y varies directly with y then
y = kx ( k is the constant of variation )
to find k use y = 3 when x = 2
k =
= ![\frac{3}{2}](/tpl/images/0052/5150/dbf42.png)
equation is : y =
x
When x = 1 then y =
× 1 = ![\frac{3}{2}](/tpl/images/0052/5150/dbf42.png)