A teacher asked her students how many pets they own. Here are the results:
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Answer:
B.
Step-by-step explanation:
Basically, to draw a dot plot, what you do is place one circle above the corresponding value on the number line for each value in the data set, ie. if there is a 0 in the data set, then you would draw one 'dot' above 0 on the number line. If there was another 0, then you would draw another dot above the dot you drew for the first 0, and so on.
The data set given is:
0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8
If we count the number of each value, then we can say that:
a) there are three 0's
b) there are four 1's
c) there are three 2's
d) there are two 3's
e) there are two 4's
f) there is one 8
Now you could draw this up on a dot plot and compare this with the answers, or you could technically also just look at the dot plots in the multiple choice answers and count each of the values to see which one matches up with the values we defined above. So:
A. There are three 0's (correct), four 1's (correct), three 2's (correct), but there are no 3's - therefor this is not the correct dot plot.
B. There are three 0's (correct), four 1's (correct), three 2's (correct), two 3's (correct), two 4's (correct) and one 8 (correct) - therefor this is the correct dot plot.
We could use the same method to check if C and D were correct; then we would see that C only has two 0's and one 3 and is thus incorrect, and D only has one 3 and one 4, and has an extra value of 5, thus it is also incorrect.
Therefor, the answer is B.
Whilst this method may be used, a quick sketch of the dot plot may be a little easier to work with to compare visually with the answers, however everyone has their own way so try both methods and see what works for you.