Answer to Question #107587 in Statistics and Probability for Yusuf

Question

Question 9
Consider statements A to D below.
(A) Data can be summarised using both tabular and graphical methods.
(B) Classes in a frequency distribution are non-overlapping.
(C) Frequency refers to the proportion of items in a class while relative frequency refers to the
actual count per class.
(D) The modal class is the class with the highest frequency.
Which statement(s) are incorrect?
(1) Only D.
(2) Only B.
(3) Only C.
(4) Only A and B.
(5) Only B, C and D.
Question 10
The sum of relative frequencies for all class will always equal?
(1) 1:
(2) 100:
(3) The number of classes.
(4) The sample size.
(5) The total frequency

Answer 1

Answer to question 9

(a) The data can be represented either by tabular or graphical methods. It is correct.

(b) The classes must be mutually exclusive (non-overlapping). This means that there is no way that any of the data could fall into 2 different classes at once. It is also correct.

(c) frequency of a class is the count of how many data values fall into a certain class wherein classes with greater frequencies have higher bars and classes with lesser frequencies have lower bars. On the other hand, relative frequency requires one additional step as it is the measure of what proportion or percent of the data values fall into a particular class. It is wrong.

(d) The modal class is the group with the highest frequency. It is correct.

Thus, the answer is (c).

Answer to question 10

The answer is 1 because the relative frequency defines fraction of the total number of data available in a class. When all the fractions are added together, it should be equal to 1. Thus, the answer is (1).