What is the quartile three of the following set of data? 202, 199, 223, 198, 223, 223, 301, 199, 200, 212, 215

Q3 = 223

Step-by-step explanation:

The given data is:

198, 199, 199, 200, 202, 212, 215, 223, 223, 223, 301

Let us use the quartile formula for the Quartile 3 (Q3):

N = number of data points= 11

Therefore:

Therefore, the upper quartile (Q3) is the 9th data point i.e. 223

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).