Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.

Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is .

The relative frequency of landing on caterpillar is .

The relative frequency of landing on chrysalis is .

The relative frequency of landing on adult is .

All the outcomes be considered equally likely.

Respuesta :

Answer:

0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.

Step-by-step explanation:

The relative frequency of landing on an egg, caterpillar, chrysalis and adults are 0.2, 0.24, 0.3 and 0.26.

What is the relative frequency?

"Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset".

For the given situation,

Number of times egg landed on spin, x1 = 10

Number of times caterpillar landed on spin, x2 = 10

Number of times chrysalis landed on spin, x3 = 15

Number of times adult landed on spin, x4 = 13  

Total number of times, n  = 50

The formula for relative frequency =  [tex]\frac{x}{n}[/tex]

The relative frequency of landing on an egg = [tex]\frac{10}{50}[/tex]

⇒ [tex]0.2[/tex]

The relative frequency of landing on caterpillar = [tex]\frac{12}{50}[/tex]

⇒[tex]0.24[/tex]

The relative frequency of landing on chrysalis  = [tex]\frac{15}{50}[/tex]

⇒ [tex]0.3[/tex]

The relative frequency of landing on adults = [tex]\frac{13}{50}[/tex]

⇒ [tex]0.26[/tex]

Hence we can conclude that the relative frequency of landing on an egg, caterpillar, chrysalis, and adults are 0.2, 0.24, 0.3 and 0.26.

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