Question

The frequency table shows the results of tossing a number cube 50 times. Which statement

is reasonable, based on the data?

Answer 1

Option (1) is the correct option.

Explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 =
`\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}`

=
`(10)/(8+10+6+10+7+9)`

=
`(10)/(50)`

=
`(1)/(5)`

Therefore, option (4) is incorrect.