The histogram shown below represents the weights (in kg) of 47 female and 97 male cats. Approximately % of these cats weigh less than 2.5kg. Approximately % of these cats weigh between 2.5 and 2.75kg. Approximately % of these cats weigh between 2.75 and 3.5kg.

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Answer:

Approximately % of these cats weigh less than 2.5kg

the percentage = 61/144 × 100 = 6100/144 = 42.3611111111  ≈ 42.36%

Approximately % of these cats weigh between 2.5 and 2.75 kg

percentage = 20/144 ×100 = 2000/144 = 13.8888888889  ≈ 13.90%

Approximately % of these cats weigh between 2.75 and 3.5kg.

percentage = 54/144 × 100 = 5400/144 = 37.5 %

Explanation:

The picture below is the histogram used .

The horizontal is the weight of the cat . The vertical is the number of cat. The cats have 47 female and 97 male . The total cats is 47 + 97 = 144.

Approximately % of these cats weigh less than 2.5kg

Cat that weighs less than 2.5 kg is the sum of the first bar and the second bar. The sum is 29 + 32 = 61

61 cat weighs less than 2.5 kg

the percentage = 61/144 × 100 = 6100/144 = 42.3611111111  ≈ 42.36

Approximately % of these cats weigh between 2.5 and 2.75 kg

cat that weigh between 2.5 and 2.75 is 20

percentage = 20/144 ×100 = 2000/144 = 13.8888888889  ≈ 13.90

Approximately % of these cats weigh between 2.75 and 3.5kg.

The number of cat that fall under this category is 27 + 12 + 15 = 54

percentage = 54/144 × 100 = 5400/144 = 37.5

Ver imagen vintechnology

The approximately % of cats weigh less than 2.5 kg has been 42.36 %.

The approximately % of cats weighing between 2.5 and 2.75 kg has been 13.88 %.

The approximately % of cats weighing between 2.75 and 3.5 kg has been 37.5 %.

The histogram has been the representation of the data in a user defined condensed format. The total number of cats has been the sum of male and female cats.

The given male cats can be, [tex]C_M=97[/tex]

The given female cats, [tex]C_F=47[/tex]

The total cats (C) can be given as:

[tex]C=C_M\;+\;C_F\\C=97\;+\;47\\C=144[/tex]

The total number of cats has been 144.

  • The percentage of cats weigh less than 2.5 kg has been given as:

From the histogram, the number of cats weighing less than 2.5 kg, [tex]C_>_2_._5=61[/tex]

The % of cats weighing less than 2.5 kg ([tex]C_>_2_._5\;\%[/tex]) has been:

[tex]C_>_2_._5\;\%=\dfrac{61}{144}\;\times\;100\\ C_>_2_._5\;\%=42.36\%[/tex]

The approximately % of cats weigh less than 2.5 kg has been 42.36 %.

  • The percentage of cats weigh between 2.5 and 2.75 kg has been given as:

From the histogram, the number of cats weighing between 2.5 and 2.75 kg, [tex]C_2_._5_-_2_._7_5=20[/tex]

The % of cats weighing between 2.5 and 2.75 kg,  [tex]C_2_._5_-_2_._7_5\%[/tex], has been:

[tex]C_2_._5_-_2_._7_5\%=\dfrac{20}{144}\;\times\;100\\ C_2_._5_-_2_._7_5\%=13.88\%[/tex]

The approximately % of cats weighing between 2.5 and 2.75 kg has been 13.88 %.

  • The percentage of cats weigh between 2.75 and 3.5 kg has been given as:

From the histogram, the number of cats weighing between 2.75 and 3.5 kg, [tex]C_2_._7_5_-_3_._5=54[/tex]

The % of cats weighing between 2.75 and 3. 5 kg,  [tex]C_2_._7_5_-_3_._5\%[/tex], has been:

[tex]C_2_._7_5_-_3_._5\%=\dfrac{54}{144}\;\times\;100\\ C_2_._7_5_-_3_._5\%=37.5\%[/tex]

The approximately % of cats weighing between 2.75 and 3.5 kg has been 37.5 %.

For more information about histogram, refer to the link:

https://brainly.com/question/2962546

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