Question

rick went on a hike with his family in big bend national park. during the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes. select all of the statements that describe the data. rick saw fewer jackrabbits than foxes. deer and lizards are both modes of the data. more than a quarter of the animals rick saw were scorpions or snakes. less than half of the animals rick saw were lizards.

Explanation:

Step1: Calcular el total de animales

Sumamos el número de cada animal: \(6 + 1+2 + 3+6 + 2=20\)

Step2: Analizar la primera afirmación

Rick vio 3 jackrabbits y 2 foxes. \(3>2\), así que la afirmación "Rick saw fewer jackrabbits than foxes" es falsa.

Step3: Analizar la segunda afirmación

El modo es el valor que más se repite. Los lízards (6) y los ciervos (6) son los valores más repetidos. Entonces "Deer and lizards are both modes of the data" es verdadera.

Step4: Analizar la tercera afirmación

Los escorpiones y las serpientes suman \(1 + 2=3\). Un cuarto de 20 es \(20\times\frac{1}{4}=5\). \(3<5\), así que "More than a quarter of the animals Rick saw were scorpions or snakes" es falsa.

Step5: Analizar la cuarta afirmación

La mitad de 20 es \(20\times\frac{1}{2} = 10\). Los lízards son 6. \(6<10\), así que "Less than half of the animals Rick saw were lizards" es verdadera.

Answer:

• Deer and lizards are both modes of the data.
• Less than half of the animals Rick saw were lizards.