Is it correct to say that an ogive is a graphical representation of a frequency distribution? Give reason

Solution:

We know that

Graphical representation of a frequency distribution may not be an ogive and can be a histogram

The cumulative frequency distribution of grouped data can be represented on a graph. Such a representative graph is called a cumulative frequency curve or an ogive.

Therefore, the statement is not correct.

✦ Try This: One ticket is drawn at random from a bag containing tickets numbered 1 to 50. The probability that the selected ticket has a number which is a multiple of 2 is

We know that

Multiple of 2 between 1 to 50 is

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50

Total number of outcomes = 50

Number of favourable outcomes which are multiples of 5 = 25

From the definition

Probability = Favourable outcomes/ Total outcomes

Substituting the values

= 25/50

= 1/2

Therefore, the probability that the selected ticket has a number which is a multiple of 2 is 1/2.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.2 Sample Problem 2

Is it correct to say that an ogive is a graphical representation of a frequency distribution? Give reason

Summary:

The statement “an ogive is a graphical representation of a frequency distribution” is not correct

☛ Related Questions:

• In any situation that has only two possible outcomes, each outcome will have probability 1/2 . True . . . .
• The median of an ungrouped data and the median calculated when the same data is grouped are always t . . . .
• In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula x . . . .