How do we solve this??
2 answers:
You might be interested in
Answer:
782.5inch³
Step-by-step explanation:
<u>The question is on volume of a prism and that of a cylinder</u>
<u>Finding the volume of the prism</u>
V=Bh where B is the base area and h is the height
Base area=14"×14"=196 inch²
height =8"
v=196×8= 1568 in³
<u>Finding volume of the cylinder</u>
v=r²h where r is the radius of cylinder and h is the height of cylinder
r=10/2=5 inches and h=10 inches
v=3.142×5×5×10=785.5inch³
<u>The difference in volume</u>
Difference in volume=1568-785.5=782.5inch³
Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.
MAD of the data represented by dot plot in the picture will be Option A.
Elements in the given dot plot are,
3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Steps to be followed for the mean absolute deviation of this data set.
- Find the mean of the data set
- Find the absolute distance of each element from the mean
- Find the average distance of all the elements which will be MAD of the data set.
Step - 1 :
Mean of the data set =
=
=
(As shown on the dot plot)
Step - 2 :
Absolute distance of each element from the mean of the data set,
3 - 5 = |-2| = 2
4 - 5 = |-1| = 1
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
Step - 3 :
Average of the absolute distance =
=
= 0.6
Therefore, Option A will be the correct option.
Learn more,