Question

unit 4 - pie charts and histograms
question 19, 7.1.rc - 3
hw score: 63.16%, 24 of 38 points
points: 0 of 1
the following chart provides data on the numbers of registered dogs in a certain suburban area, by town.

town	appleton	bedford	canobie	delvin	eastwich	front	grange
# of registered dogs	543	990	899	102	56	449	148

if you were creating a pictograph to represent this data, what would be a reasonable number of dogs to be represented by each picture of a dog?
choose the correct answer below.
a. 500, because it seems to be a reasonable number to use to calculate the pictures needed for the towns with larger numbers of registered dogs.
b. 1, because there would be no difficulties in telling how many dogs there are in each town.
c. 5, because each of the numbers in the table can easily be rounded to the nearest 5 or 0, and thus you could easily count the number of dogs.
d. 50, because the town with the smallest number of dogs, eastwich, has only 56 dogs, and thus it could be represented by at least one full dog.

Explanation:

Step1: Analyze option A

500 is too large. For towns with small - number of dogs like Eastwich (56 dogs), it will result in fractions of dog - pictures which is not practical for a pictograph.

Step2: Analyze option B

Using 1 dog per picture will lead to a very long and unmanageable pictograph, especially for towns with large numbers of dogs like Bedford (990 dogs).

Step3: Analyze option C

While numbers can be rounded to 5 or 0, using 5 dogs per picture will still result in a large number of pictures for towns with many dogs and may not be the most efficient representation.

Step4: Analyze option D

The smallest number of dogs is 56 in Eastwich. Using 50 dogs per picture, Eastwich can be represented by at least one full - dog picture, and for other towns, the number of pictures will be manageable.

Answer:

D. 50, because the town with the smallest number of dogs, Eastwich, has only 56 dogs, and thus it could be represented by at least one full dog.