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WorksheetsMC on Grouped Frequency Distribution and Graphs
Total questions: 40
Worksheet time: 1hrs 16mins
Find the midpoints.
25.5, 35.5, 45.5, 55.5, 65.5, 75.5
20.5, 30.5, 40.5, 50.5, 60.5, 70.5, 80.5
21, 31, 41, 51, 61, 71
30, 40, 50, 60, 70, 80
Find the cumulative frequencies.
28, 56, 84, 100
28, 58, 70, 72, 74, 76
33%, 37%, 20%, 7%, 7%, 7%
28, 30, 12, 2, 2, 2
Look at the frequency distribution. Find the class boundaries.
21, 31, 41, 51, 61, 70, 80
25.5, 35.5, 45.5, 55.5, 65.5, 75.5
20.5, 30.5, 40.5, 50.5, 60.5, 70.5
30, 40, 50, 60, 70, 80
Which of the following is the correct formula to find class width?
(max-min)/(# of classes), round up to the next integer
(max-min)/2, round up to the next integer
(max-min)/(# of classes), round normally
(max+min)/2, round normally
(max-min)/(number of data), round up to the next integer
Complete the definition:
class boundaries
lower class limits
upper lass limits
midpoints
What would be the cumulative frequency for the third class?
5
12
17
18
Data obtained in the original form is known as raw data
This is an ogive.
true
false
How do you calculate the class width if you have a data set of 70 entries and you are asked to construct a 6 class frequency distribution?
I divide 70/6=11.66666, I round it up to 12; the class width is 12.
I divide 6/70=0.875, I round it up to 9; the class width is 9.
I choose a class width of 10 because it looks fine.
As there are 70 entries, each class width is 6.
Why is this frequency distribution incorrect?
The fourth class width is different from the others
There is a zero.
Classes should overlapped.
What is another name for the ogive?
Histogram
Frequency Polygon
Cumulative frequency graph
Pareto chart
Use the ogive to approximate the number in the sample.
100
28
80
341
Use the frequency histogram to determine the number of classes.
5
6
7
8
Use the ogive to approximate the location of the greatest increase in frequency.
58 - 60
60 - 62
62 - 64
64 - 66
Use the ogive to approximate the greatest increase.
5
10
15
20
Use the ogive to approximate the cumulative frequency for a height of 72 inches.
36
43
48
51
Use the frequency polygon to identify the class with the greatest frequency.
20.5 - 23.5
29.5 - 32.5
35.5 - 38.5
Use the given frequency distribution to find the
(a) class width
(b) midpoints of the first class
(c) boundaries of the first class
(a) 3
(b) 51
(c) 50 - 52
(a) 2
(b) 51.5
(c) 50 - 52
(a) 3
(b) 51
(c) 49.5 - 52.5
(a) 2
(b) 51.5
(c) 49.5 - 52.5
What are some benefits of representing data sets using frequency distributions?
Organizing the data into a frequency distribution makes it possible to graph quantitative data
It is easier to determine the minimum and maximum values of a data set when it has been arranged into a frequency distribution
Organizing the data into a frequency distribution can make patterns within the data more evident.
Use the frequency histogram to answer each question.
Determine the number of classes.
7
6
8
5
Use the given frequency distribution to find the midpoints.
41.5, 45.5, 49.5, 53.5, 57.5, 61.5, 65.5
none of these
42.5, 46.5, 50.5, 54.5, 58.5, 62.5, 66.5
40.5, 44.5, 48.5, 52.5, 56.5, 60.5, 64.5
What is the chart called?
histogram
frequency polygon
histograph
frequency graph
What is another name for the ogive?
Histogram
Frequency Polygon
Cumulative Frequency Graph
Pareto Chart
Why is this frequency distribution incorrect?
The fourth class width is different from the others
There is a zero.
Classes should overlapped.
Find the number of passengers who waited for the bus for 15 min or less.
6
10
20
24
Find the number of patients who waited for more than 80 min for a doctor.
12
16
62
64
In the construction of a frequency distribution, it is a good idea to have overlapping class limits, such as 10-20, 20-30, 30-40.
True
False
Use the frequency histogram to determine the class width
7
8
9
10
What is class width of the following frequency distribution?
3
4
5
19
The speed limit on a road was 40 mph. How many cars were exceeding the speed limit?
13
27
25
15
What would be the class BOUNDRIES for the second class?
40 - 79
39.5 - 79.5
40.5 - 79.5
5 - 12
The histograms show the scores for the first and second block classes. Assuming 69 and above is passing, which of the following is true?
The number of students that passed the test is the same in both classes.
More students passed in first block than second block.
More students passed in the second block than first block.
Cannot be determined based on the graphs given.
Graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.
Ogive
Histogram
Frequency Polygon
Pareto Chart
What is the difference between a frequency polygon and an ogive?
A frequency polygon displays class frequencies while an ogive displays cumulative frequencies
A frequency polygon is a line graph while an ogive is a histogram
It is easier to find patterns in the data from a frequency polygon than an ogive.
There is no difference between a frequency polygon and an ogive.
