Answer :
To find the percentage of students in the sample who prefer cats, follow these steps:
1. Determine the total number of students in the survey.
2. Identify the number of students who prefer cats.
3. Calculate the percentage of students who prefer cats.
4. Round the percentage to the nearest whole number.
Let's break it down step-by-step:
### Step 1: Determine the total number of students in the survey
From the table, the total number of students surveyed is as follows:
[tex]\[ \text{TOTAL} = 100 \][/tex]
### Step 2: Identify the number of students who prefer cats
The number of students who prefer cats is given by the sum of males and females who prefer cats:
[tex]\[ \text{Prefers cats} = 10 + 26 = 36 \][/tex]
### Step 3: Calculate the percentage of students who prefer cats
To find the percentage, use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Prefers cats}}{\text{TOTAL}} \right) \times 100 \][/tex]
Plugging in the numbers:
[tex]\[ \text{Percentage} = \left( \frac{36}{100} \right) \times 100 = 36.0 \][/tex]
### Step 4: Round the percentage to the nearest whole number
The percentage calculated is 36.0, which is already a whole number. So rounding to the nearest percent gives:
[tex]\[ 36\% \][/tex]
Thus, approximately 36% of students in the sample prefer cats.
1. Determine the total number of students in the survey.
2. Identify the number of students who prefer cats.
3. Calculate the percentage of students who prefer cats.
4. Round the percentage to the nearest whole number.
Let's break it down step-by-step:
### Step 1: Determine the total number of students in the survey
From the table, the total number of students surveyed is as follows:
[tex]\[ \text{TOTAL} = 100 \][/tex]
### Step 2: Identify the number of students who prefer cats
The number of students who prefer cats is given by the sum of males and females who prefer cats:
[tex]\[ \text{Prefers cats} = 10 + 26 = 36 \][/tex]
### Step 3: Calculate the percentage of students who prefer cats
To find the percentage, use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Prefers cats}}{\text{TOTAL}} \right) \times 100 \][/tex]
Plugging in the numbers:
[tex]\[ \text{Percentage} = \left( \frac{36}{100} \right) \times 100 = 36.0 \][/tex]
### Step 4: Round the percentage to the nearest whole number
The percentage calculated is 36.0, which is already a whole number. So rounding to the nearest percent gives:
[tex]\[ 36\% \][/tex]
Thus, approximately 36% of students in the sample prefer cats.
