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Middle/High School Algebra, Geometry, and Statistics (AGS)
9.15 Histogram

Data in the tabular form is as follows Histogram representing the data

If we observe the graph carefully, we realize that the data has been misinterpreted.
As we know areas of the rectangle should be proportional to the frequencies in a histogram. Now look at the chart below.



If we go by the rules we realize that there is an ! ERROR ! in the first and the last class interval.
We take the following steps to rectify the error
1.We select an approriate class size. The best suitable would be 10.
2.The lengths of the rectangle are then modified to be proportionate to the class size.

After the ammendments the table would look like The corresponding histogram would then look like



Directions: On the basis of the given information answer the following questions


Q 1: What is the width of the class interval 70 - 100?
30
25
10
20

Q 2: The width of the rectangle is same when they have the same class size.
true
false

Q 3: Which two class intervals have the same highest frequency?
30 - 40 and 50 - 60
40 - 50 and 60 - 70
0 - 20 and 70 - 100
40 - 50 and 50 - 60

Q 4: After rectification, the area of the rectangle corresponding to the class interval 0 - 20 is
120
70
140
90

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Question 6: This question is available to subscribers only!


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