00:01
Hello student.
00:02
It is given that a variable is normally distributed with mean mu is equal to 10 and standard deviation sigma is equals to 2.
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Now here we have to determine the quartiles.
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So here first quartile means 25 lowest 25 % so here z value is equal to minus 0 .67.
00:23
So here we interchange our formula as x is equal to mu plus sigma z.
00:29
So here we substitute value.
00:31
So here 10 plus 2 into minus 0 .67.
00:39
Therefore the value of x that is 8 .66.
00:44
Therefore the value of first quartile that is q1 is equal to 8 .66.
00:52
Now you have to find out the value of second quartile.
00:57
Now here second quartile means median now, we know that normal distribution is symmetric that is mean median mode are equal.
01:06
Therefore value of second quartile is equal to 10.
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Now here we have to find out the value of third quartile...