The following is a frequency data set for test scores in a small class. Construct a cumulative frequency plot displaying the dat
a on your own paper, calculator, or StatCrunch. Then, describe the the graph in a sentence or two. Be sure to communicate in your answer how to create the graph (be sure to include what the cumulative frequencies are) Test scores:
40-49 : 1
50-59 : 2
60-69 : 2
70-79 : 7
80-89 : 9
90-99 : 5
40-49 : 1
50-59 : 2
60-69 : 2
70-79 : 7
80-89 : 9
90-99 : 5
1 answer:
The cumulative frequency table is shown below. The value of cumulative frequency is the sum of all previous frequencies. We should have 26 at the end of the table because all frequency add up to 26
To graph the cumulative frequency, we would need the plots.
Use the end of value range against the cumulative frequency value
Range 40-49, use the value 49 against the cumulative frequency 1
(49, 1)
(59, 3)
(69, 5)
(79, 12)
(89, 21)
(99, 26)
Plot these on graph and connect them as a curve
To graph the cumulative frequency, we would need the plots.
Use the end of value range against the cumulative frequency value
Range 40-49, use the value 49 against the cumulative frequency 1
(49, 1)
(59, 3)
(69, 5)
(79, 12)
(89, 21)
(99, 26)
Plot these on graph and connect them as a curve
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Given:
A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.
To find:
The legs of the isosceles trapezoid.
Solution:
Draw another perpendicular and name the vertices as shown in the below figure.
From the figure it is clear that the AEFD is a rectangle. So,
Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,
(Legs of isosceles trapezoid)
(Vertical height of isosceles trapezoid)
(Right angle)
(HL postulate)
(CPCTC)
Now,
Using Pythagoras theorem in triangle ABE, we get
Taking square root on both sides, we get
Side length cannot be negative. So, .
Therefore, the length of legs in the given isosceles trapezoid is 5 units.
