To calculate the Interquartile Range IQR, you must subtract the value of the first quartile Q1, to the third quartile Q3, as you can see in the formula below:

IQR = Q3 - Q1

Using the five-number summary, you can replace the formula:

IQR = 17 - 13

IQR = 4

Before to apply the rule 1.5 IQR, you must multiply the IQR by 1.5:

4 * 1.5 = 6

Now, to apply the rule you must add the value obtained (6), to the third quartile (17), if any data is over this, theoretically it's an outlier:

17 + 6 = 23 (As you do not have any data over this value, it is identified that there are no outliers in the upper section).

Finally, you must subtract the value obtained (6) to the first quartile (13), if any data is under this, theoretically it's an outlier:

13 - 6 = 7 (Since you don't have any castle data built before this century, there wouldn't be any theoretically outliers either).

By this reason, using the rule of 1.5 IQR, you can see there aren't outliers in the displayed data set.

brainliest please if correct.

3 0

2 years ago

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?

krok68 [10]

$y = \frac{1}{24} x^{2}$

Step-by-step explanation:

Since directrix is a horizontal line, this is a regular vertical parabola, where the x part is squared. The equation of a vertical parabola is:

(x - h)² = 4p(y - k)

where,

(h,k) are the coordinates of the vertex

p = distance from the vertex to the focus

So, we need to find out h, k and p and plug those values :

We know that the vertex of a parabola is halfway between focus and the directrix . We know the focus (0,4) and directrix y = 6 therefore, vertex (h,k) = (0, 0)

Now, p = distance from the vertex to the focus

= distance from the (0,0) to the (0,4)

= 4

Plug all the values in equation:

$(x-0)^{2} = 4(4)(y-0)\\x^{2} = 24y$

Now, we rearrange to write this into standard form (y = $ax^{2}+bx+c$ )

or, $y = \frac{1}{24} x^{2}$

7 0

3 years ago

There it is pls help me with this

andriy [413]

Where is the question? we can’t answer it without it

4 0

3 years ago