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WorksheetsFrequency Distribution
Total questions: 50
Worksheet time: 36mins
A collection of observation produced by sorting them into classes and showing their frequency of occurrence in each class.
Statistics table
Frequency distribution table
Distribution column
Frequency Graph
In the second row with a frequency of 42, what is the class boundary?
9.5 - 19.5
10 - 19
10.5 - 18.5
10.5 - 19.5
What is the total frequency?
200
215
224
225
According to the portion of the frequency table given, how many people have an MBA?
9
20
60
not enough information
Sam's team has scored the following numbers of goals in recent games
2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3
What type of distribution for the above data?
Raw data
Ungrouped frequency distribution table
Grouped frequency distribution table
Cummulative frequency
Given above are marks obtained by 20 students in Math out of 25.
Find the value of x.
4
5
7
8
Given both table above are marks obtained by 20 students in Math out of 25. What are different between the tables?
A: Cumulative frequency
B: Ungrouped frequency distribution table
A: Ungrouped frequency distribution table
B: Grouped frequency distribution table
A: Ungrouped frequency distribution table
B: Cumulative frequency
A: Grouped frequency distribution table
B: Cumulative frequency
The table above shows a cumulative frequency distribution of runners' ages. According to the table, how many runners are in their forties?
25
7
6
10
The table shows the times, in minutes, that people waited in a supermarket queue.
What are the value of a, b, c and d respectively?
2, 3, 5, 10
0, 2, 5, 10
2, 5, 10, 20
16, 27, 39, 18
The graph shows the number of nails in a sample of 200 packets from a factory.
How many packets contained fewer than 98 nails?
24
20
30
34
The histogram shows results of a Mathematics test.
How many students scored more than 50%?
20
50
40
30
The daily temperature (°C) in Antarctica was recorded for twenty consecutive days.
How many days had a temperature ⩾ –7°C?
8
6
14
12
By completing the frequency column of this table, what is the total frequency?
50
60
70
80
The speed limit on a road was 40 mph. How many cars were exceeding the speed limit?
13
27
25
15
The histogram shows the times taken by a group of students to complete a Maths test.
Estimate the number of students who took longer than 30 minutes to complete the test.
5
10
15
20
What is class width of the following frequency distribution?
3
4
5
19
What is the range?
average
the middle
biggest - smallest
happening the most
What is another name for the ogive?
Histogram
Frequency Polygon
Cumulative Frequency Graph
Pareto Chart
What are the true class boundaries for the class interval 8 - 9?
8.5 - 9.5
7.5 - 9.5
8.55 - 9.55
8 - 9
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 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
Identify the class with the highest relative frequency.
95 - 105
105 - 115
115 - 125
125 - 135
Use the frequency histogram to determine the class width
7
8
9
10
Use the ogive to approximate the cumulative frequency for a height of 72 inches.
36
43
48
51
What would be the cumulative frequency for the third class?
5
12
17
18
Which shoe size is the mode?
6
9
17
25
What is the range of the shoe sizes?
5
4
16
9
How many people have a shoe size of 6?
17
18
19
15.4
How many people visited the cinema twice?
28
20
35
25
What is the highest number of goals scored?
5
8
1
6
Which of these could be a cumulative frequency graph?
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
How many students scored 40% or below on the test?
21
22
20
15
Find the number of patients who waited for more than 80 min for a doctor.
12
16
62
64
What is the Midpoint of the third class that has a frequency of 25?
117.5
80
91
102
What will be the class boundary with the class limit is 64-74?
64.5 - 74. 5
63.5 - 74. 5
63.5 - 73.5
64.5 - 73.5
What is the total number of frequency?
25
80
6
79
What is the Cumulative Frequency for the given Grouped Frequency Distribution
24, 38, 77, 95, 100
0, 24, 38, 77, 95, 100
0, 24, 77, 95, 100
24, 366, 13104, 235872, 1179360
What is the Class Boundaries for the first Class Limit
24.5 - 34.5
25.5 - 34.5
24.5 - 33.5
25.5 - 33.5
When constructing a Grouped Frequency distribution you the first step is finding the highest and lowest number. The second step is to _______________.
Find the Width
Subtract .5 and Add .5 to the class limits
Subtract 1 from your second class limit to find your first upper class limit
Find the Range
When constructing a Grouped Frequency Distribution the classes will always be between 5 and 20?
True
False
When finding the Class Boundaries for a Grouped Frequency Distribution you will _______ to the lower limits and __________ to the upper limits.
Add .5 to the lower limits and Subtract .5 to the upper limits
Subtract .5 to the lower limits and Add .5 to the upper limits
Add lower limit to the upper limit, then divide it by 2
The Width must be rounded how?
Always round to the next whole number
To the nearest 10th
Keep it how it comes out
What is the width of the Grouped Frequency Distribution given.
9
10
100
39
