The amount of rainfall in january in a certain city

Asked by maham237 @ 09/06/2021 in Mathematics viewed by 304 People

is normally distributed with a mean of 4.3 inches and a standard deviation of 0.3 inches. find the value of the quartile q1. 1.1 4.2 4.1 4.5

Answered by maham237 @ 09/06/2021

We start by showing the position of the first quartile, Q1 on the normal distribution graph. Q1 happens at 25% of the data.

The graph is shown below

We are interested in the area to the left of Q1 and we know that the probability is 0.25

We can find out the value of z-score from the table as shown below

The z-score when p=0.25 is 0.68

then changing this z-score into the actual value

$-0.68= \frac{X-4.3}{0.3}$
$-0.204=X-4.3$
$X=4.096$

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ 15/11/2022 in Mathematics viewed by 1494 persons

The amount of rainfall in january in a certain city

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