Question

jazmin has surveyed their 25 classmates about the number of pets in their household and received the following data: 4 3 3 6 3 2 1 0 5 5 0 5 5 6 6 6 4 5 6 5 0 1 2 2 5 construct a frequency and relative frequency distribution table: (round the relative frequencies to 2 decimal places) number of pets frequency relative frequency 0 3 % 1 2 % 2 3 % 3 3 % 4 2 % 5 7 % 6 5 % total: %

Explanation:

Step1: Recall relative - frequency formula

The formula for relative frequency is $\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total Frequency}}\times100\%$. The total number of data points is $n = 25$.

Step2: Calculate relative frequency for 0 pets

For 0 pets, frequency $f_0=3$. Relative frequency $=\frac{3}{25}\times 100\% = 12.00\%$

Step3: Calculate relative frequency for 1 pet

For 1 pet, frequency $f_1 = 2$. Relative frequency $=\frac{2}{25}\times 100\%=8.00\%$

Step4: Calculate relative frequency for 2 pets

For 2 pets, frequency $f_2 = 3$. Relative frequency $=\frac{3}{25}\times 100\% = 12.00\%$

Step5: Calculate relative frequency for 3 pets

For 3 pets, frequency $f_3 = 3$. Relative frequency $=\frac{3}{25}\times 100\%=12.00\%$

Step6: Calculate relative frequency for 4 pets

For 4 pets, frequency $f_4 = 2$. Relative frequency $=\frac{2}{25}\times 100\% = 8.00\%$

Step7: Calculate relative frequency for 5 pets

For 5 pets, frequency $f_5 = 7$. Relative frequency $=\frac{7}{25}\times 100\%=28.00\%$

Step8: Calculate relative frequency for 6 pets

For 6 pets, frequency $f_6 = 5$. Relative frequency $=\frac{5}{25}\times 100\% = 20.00\%$

Step9: Calculate total frequency and relative - frequency

The total frequency is the sum of all frequencies, which is $3 + 2+3+3+2+7+5=25$. The total relative - frequency is $100\%$.

Answer:

Number of pets	Frequency	Relative Frequency
1	2	8.00%
2	3	12.00%
3	3	12.00%
4	2	8.00%
5	7	28.00%
6	5	20.00%
Total:	25	100.00%