Chapter 1.2, Problem 61E

To determine

To draw: a plausible graph of the distribution of birth months.

Answer to Problem 61E

  

Explanation of Solution

Given:

Randomly 60 students are taken as a sample

Calculation:

Bargraph should be used; because the months are categorical (histogram requires that the variable is numerical).

The width of the bars has to be equal and the height has to be equal to the number of students.

We expect the 60 students in the sample to be evenly spread over all monthsand thus there should be about $\frac{60}{12}=5$ students per month.

For example, let the frequencies of the number of students born in the corresponding month be:

Birth Month	Frequency
January February March April May June July August September October November December	5 6 5 4 5 5 5 4 5 5 6 5

The corresponding bar graph is then:

  

Conclusion:

Thus, a required graph is drawn