Median and IQR are the appropriate measure for the center and spread of the given data set. (Option B and C)
<u>Step-by-step explanation:</u>
Usually the center and spread can be measured by various means, Among them Median and Inter Quartile Range are the best known appropriate methods.
Median:
Median is the better measure of a center, since it is the middle value and it is not affected by any outliers and it is also better than the mean value to measure the center.
Inter Quartile Range (IQR):
Inter Quartile Range (IQR) is better to measure the spread, since the outliers mislead and the utmost items will show maximum standard deviation.
So to measure Spread and center, we can use the following,
- spread - IQR
- center - median
F(a)=-2a^2 - 5a^4
if a=-3
f(-3)=-2(-3)^2 - 5(-3)^4
=(-2*9) - (5*81)
=-18 - 405
=423
A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.
Given information-
The radius of a nitrogen atom is
meters.
The radius of a beryllium atom is
meters
<h3>Negative exponents</h3>
A negative exponent means the number of the exponent divide by the number.
As the radius of the nitrogen atom is
meters. Convert it in the power of negative exponent of 10.
Let the radius of the nitrogen is
mm. Thus,

Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is
meters and the radius of the beryllium atom is
. Thus the radius of beryllium atom is larger.
To calculate how many times, the radius of beryllium atom should be divided by the radius of a nitrogen atom. Thus,

Thus the the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.
Learn more about the negative exponents here;
https://brainly.in/question/1221452