Question

Suppose a newspaper surveys 250 adults in a neary town and inquires about their cell phone carrier. The accompanying table summarizes the results. Does this table describe a relative frequency distribution? Why or why not?

Choose the correct answer below.
A. No. The percents must be written as decimals in a relative frequency distribution.
B. No. Frequencies should be stated instead of percents.
C. No. The sum of the relative frequencies is 95%, not 100%
D . Yes. Categories are given , along with their corresponding percents .

Answer 1

Option C

Explanation:

Given that a newspaper surveys 250 adults in a nearby town and inquires about their cell phone carrier

When a frequency table is prepared we write number of items for each carrier A, B, C, D and E. In this case, the total frequency should add up to 250 and hence relative frequency if expressed in ratio as frequency/250 should add to 1.

Here because relative frequency the ratio is expressed as a percentage total should be equal to 100

But we find that this total amounts only to
`95` hence this cannot describe a relative frequency distribution.

Option C is right

Answer 2

The correct option is C.

No. The sum of the relative frequencies is 95%, not 100%

Explanation:

In a relative frequency distribution, the value assigned to each class is the proportion of the total data set that belongs in the class.

We have given the statement:

Suppose a newspaper surveys 250 adults in a nearby town and inquires about their cell phone carrier. The accompanying table summarizes the results. Does this table describe a relative frequency distribution

The correct option is C.

No. The sum of the relative frequencies is 95%, not 100%