Page 120 - Math_Genius_V1.0_C8_Flipbook

E:\Working\Focus_Learning\Math_Genius-8\Open_Files\05_Chapter_4\Chapter_4
\ 06-Jan-2025 Bharat Arora Proof-6 Reader’s Sign _______________________ Date __________

1
1. Assertion (A): If a die is thrown once, the probability of getting an even number is 3 .
Reason (R): The occurrence of an even or odd number on throwing a die is a sure event.
2. Assertion (A): If a person saves 20% of his income, then the central angle for his all types of expenses
is 288°.
Reason (R): The central angle of a sector in a pie chart cannot be more than 180°.
3. Assertion (A): In the class intervals 10-20, 20-30, etc., respectively, 20 lies in the class 10-20.

Reason (R): When the number of observations is large, the observations are usually organised
in groups of equal width.
4. Assertion (A): In the temperature (in °C) listed for 10 days: –6, 4, 0, 3, 2, 0, 1, 5, 4, 4; the most frequent
temperature is 4°C.
Reason (R): The number of times a particular observation occurs in a given data is called its
frequency.
C. Fill in the blanks.
The amount of protein in the human body is around 14–16% Muscles 1
of body mass, or about 11 kg in men and 9 kg in women. The 3
pie chart here represents the distribution of proteins in parts
of the human body. Using the given information complete the
following statements. 1
Hormones, Skin 10
1. The ratio of the distribution of proteins in the muscles to that Enzymes and
of proteins in the bones is ............... . other proteins
2. The central angle of the sector representing skin and bones Bones 1
together is ............... . 6

3. The central angle of 144° corresponds to the sector representing ............... .
4. If a man has 15% protein in his body mass of 60 kg, then the amount of protein in his skin is ....... .
5. If Sarita has approximately 4.5 kg protein in her muscles, then she has............... protein in her bones.
D. State whether the following statements are True (T) or False (F).
1. To verify Pythagoras theorem is a random experiment.

2. The probability of getting a prime number is the same as that of a composite number in a throw of
a dice.
Value of the component
3. The central angle for a component = × 360 °
TotalValue
4. The difference between the upper and lower class limits of an interval is called class mark of the
interval.
5. The data arranged in groups is called arrayed data.
E. Answer the following.
1. Given below is a frequency distribution table. Read it and answer the questions that follow:

Class interval 10-20 20-30 30-40 40-50 50-60

Frequency 5 10 4 15 12
( a) What is the lower limit of the second class interval?
( b) What is the upper limit of the last class interval?
( c) What is the frequency of the third class? (d) Which interval has a frequency of 10?

( e) Which interval has the lowest frequency? (f) Draw a suitable graph to represent the distribution.

118