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Practice — Statistics • Histograms and frequency density

Histograms with unequal class widths: check 1
Difficulty: ★★☆
5781
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O1

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<3\)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.

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Histograms with unequal class widths: review variant 1
Difficulty: ★★☆
5782
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O1-V1

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<4\)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.

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Histograms with unequal class widths: check 2
Difficulty: ★★☆
5783
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O2

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<4\)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.

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Histograms with unequal class widths: review variant 2
Difficulty: ★★☆
5784
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O2-V1

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<5\)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.

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Histograms with unequal class widths: check 3
Difficulty: ★★☆
5785
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O3

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<5\)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.

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Histograms with unequal class widths: review variant 3
Difficulty: ★★☆
5786
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O3-V1

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<6\)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.

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Histograms with unequal class widths: check 4
Difficulty: ★★☆
5787
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O4

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<6\)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.

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Histograms with unequal class widths: review variant 4
Difficulty: ★★☆
5788
Info
M4U-EXT-QP-0580-HISTOGRAM-DENSITY-O4-V1

Maths4U Original · Short practice

A continuous measurement has the grouped frequency table below.

ClassFrequency
\(\displaystyle 0\le x<7\)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.

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