<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20
<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.
Part 1:
The minimum value of the data is 4.
Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9
1st quartile = (4+9)÷2
= 13÷2
= 6.5
Part 3:
Median of the data is;
Median = (9+18)÷2
=27÷2
= 13.5
Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.
3rd quartile = (18+20)÷2
= 48÷2
= 19
Part 5
The maximum of the set of data is 20.
<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
