26 julia surveyed 150 of her classmates at city middle school to determine their favorite animals. of the…

26 julia surveyed 150 of her classmates at city middle school to determine their favorite animals. of the 150 students, 46% were male. forty - two students said their favorite animal was a horse, and 1/3 of those students were female. of the 60 students who said dolphins were their favorite animal, 30% were male. using this information, complete the two - way frequency table below.

Answer

Explanation:

Step1: Calculate number of male students

The total number of students is 150, and 46% are male. So the number of male students is $150\times0.46 = 69$. Then the number of female students is $150 - 69=81$.

Step2: Calculate number of male and female students who like horses

The number of students who like horses is 42. The number of female students who like horses is $\frac{1}{3}\times42 = 14$. So the number of male students who like horses is $42 - 14 = 28$.

Step3: Calculate number of male and female students who like dolphins

The number of students who like dolphins is 60. The number of male students who like dolphins is $0.3\times60 = 18$. So the number of female students who like dolphins is $60 - 18 = 42$.

Step4: Calculate number of male and female students who like penguins

The number of male students who like penguins is $69-(28 + 18)=23$. The number of female students who like penguins is $81-(14 + 42)=25$.

Step5: Calculate totals for each row and column

The total number of students who like horses is 42, who like dolphins is 60. The total number of students who like penguins is $23 + 25=48$. The row - totals for male and female are 69 and 81 respectively, and the grand - total is 150.

The completed two - way frequency table:

	Horse	Dolphin	Penguin	Total
Male	28	18	23	69
Female	14	42	25	81
Total	42	60	48	150

Answer:

	Horse	Dolphin	Penguin	Total
Male	28	18	23	69
Female	14	42	25	81
Total	42	60	48	150