Question

5. Write True (T) or False (F) for the following statements.
(a) A histogram is a graphical representation of any frequency distribution.
(b) For an interval a-b, where a and b are numbers, the class mark is
a-b/2.
(c) In a pie chart, two or more central angles can be equal.
(d) The central angle of a sector in a pie chart cannot be more than 180°.
(e) A box has 5 red and 6 blue balls. A ball is taken out of the box without looking into the box. In this case, the outcomes : a red ball, a blue ball are equally likely.
(f) Central angle of the sectors in a pie chart will be a fraction of 180°.
(g) In a pie chart, central angle of a component=
component value/Total value × 360°.
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Answer 1

Answer:

(a) F, (b) F, (c) T, (d) F, (e) F, (f) F, (g) T.

Step-by-step explanation:

(a) A two dimensional graphical representation of a continuous frequency distribution is called a histogram. The frequency distribution should be continuous or grouped. Frequency distributions are of Two types: (a) discrete frequency distributions. (b) continuous or grouped frequency distributions. A histogram is a graphical representation of a continuous or grouped distribution if data whereas a bar graph is a graphical representation of the discrete distribution of data.

(b) the class mark 'a' ( can be denoted by any variable) is the mid value of the class interval i.e. a+b/2.

(c) This is obvious, so I won't explain. If the components or the data in two sectors can be the same, so the central angles can be as well.

(d) It can be more than 180 degrees but less than 360 degrees i.e. the central angle can be equal to or greater than 0 degrees and equal to or less than 360 degrees ( for it to be equal to 0 degrees and you to infer so, it must be mentioned beforehand for it can't be seen in the pie chart.) In general, what you'll see mentioned in textbooks is The size of a central angle Θ is 0° < Θ < 360° or 0 < Θ < 2π (radians).

(e) obvious. Won't explain. Duh. the number of balls aren't equal.

(f) will be a fraction of 360 degrees.

(g) obvious. You can look that up in the textbook.