Question

x x < < 7 8 9 10 11 12 13 In the table below are the results of rolling a number cube 400 times. Number 1 2 3 4 5 6 Frequency 35 211 32 41 38 43 A. Based on the observed frequencies, calculate the relative frequency for each number. B. Based on your results in A, do the outcomes for rolling the number cube appear to be equally likely? Explain your answer using complete sentences. C. If the outcomes do appear to be equally likely, why are the observed frequencies different for each number? If the outcomes do not appear to be equally likely, identify a possible reason for this result. UPLOAD WRITER 1

Answer 1

Part A)

To calculate the relative frequency of each number, divide the frequency over the total number of times that the number cube was rolled. Since that total is 400, divide each frequency by 400:

Number 1

$\frac{35}{400}=0.0875$

Number 2

$\frac{211}{400}=0.5275$

Number 3

$\frac{32}{400}=0.08$

Number 4

$\frac{41}{400}=0.1025$

Number 5

$\frac{38}{400}=0.095$

Number 6

$\frac{43}{400}=0.1075$

Part B)

Since the relative frequencies are not equal, then the outcomes do not appear to be equally likely.

Part C)

Since the outcomes do not appear to be equally likely, it may be because the number cube is built in such a way that the probability of getting each number is different.