Histograms with unequal class widths · Short practice
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Histograms with unequal class widths — objective 1
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<3\)
15
\(\displaystyle 3\le x<9\)
18
\(\displaystyle 9\le x<18\)
36
Find the frequency density of the first class.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Histograms with unequal class widths — objective 1
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<4\)
24
\(\displaystyle 4\le x<12\)
32
\(\displaystyle 12\le x<24\)
60
Find the frequency density of the first class.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Method
Histograms with unequal class widths — objective 2
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<4\)
24
\(\displaystyle 4\le x<12\)
32
\(\displaystyle 12\le x<24\)
60
Find the frequency density of the second class.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Histograms with unequal class widths — objective 2
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<5\)
35
\(\displaystyle 5\le x<15\)
50
\(\displaystyle 15\le x<30\)
90
Find the frequency density of the second class.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Apply
Histograms with unequal class widths — objective 3
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<5\)
35
\(\displaystyle 5\le x<15\)
50
\(\displaystyle 15\le x<30\)
90
Find the frequency density of the third class.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Histograms with unequal class widths — objective 3
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<6\)
12
\(\displaystyle 6\le x<18\)
72
\(\displaystyle 18\le x<36\)
126
Find the frequency density of the third class.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Check understanding
Histograms with unequal class widths — objective 4
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<6\)
12
\(\displaystyle 6\le x<18\)
72
\(\displaystyle 18\le x<36\)
126
Find the total frequency represented by all histogram bars.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Histograms with unequal class widths — objective 4
Maths4U Original · Short practice
A continuous measurement has the grouped frequency table below.
Class
Frequency
\(\displaystyle 0\le x<7\)
21
\(\displaystyle 7\le x<21\)
98
\(\displaystyle 21\le x<42\)
21
Find the total frequency represented by all histogram bars.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.