Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒
where represents radius of the pond.
Thus, we have:
⇒
Using
⇒
Solving for
Dividing both sides by 3.14
⇒
⇒
Taking square root both sides.
⇒
⇒
So, radius = 5 yd, as distances are always positive.
Diameter =
Thus, diameter of pound = 10 yd
General Idea:
To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.
Applying the concept:
33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38
Listing the data in ascending order we get
31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38
We need to plot <u>three </u>circles above 31, <u>one</u> circle above 32, <u>two</u> circles above 33, <u>one</u> above 35, <u>two </u>above 36, <u>three </u>above 37, and <u>three</u> above 38.
Conclusion:
Out of the four options, the <u>correct option is B </u>because that is the only dot plot representing the given set of data.
