Statistics Test

Result

Statistics Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Five years ago, the average age of A and B was 15 years. Today, the average age of A, B and C is 20 years. How old will C be after 10 years?

A
35 years

B
40 years

C
30 years

D
50 years

Solution

Five years ago, (A + B) = 15 × 2 = 30 years
Now, (A + B) = 30 + 5 × 2 = 40 years
Now, (A + B + C) = 20 × 3 = 60 years
Now, C = 60 - 40 = 20 years
After 10 years, C = 20 + 10 = 30 years
Question 2
1 / -0

The average age of a class of 30 students and a teacher decreases by 0.5 year, if we exclude the teacher. If the overall average is 14.5 years, then find the age of the teacher.

A
36.5 years

B
32.5 years

C
29.5 years

D
28.5 years

Solution

Age of the teacher = Total age of students and teacher - Total age of students
= 31(14.5) – 30(14)
= 449.5 - 420
= 29.5 years

Question 3

1 / -0

Match the following:

Column A	Column B
(i) A histogram is a graphical representation of a grouped frequency distribution with	(A) class mark
(ii) The middle value of a class interval is called	(B) continuous class
(iii) When the data is collected at the first time by an investigator, it is called	(C) raw data
(iv) When the data is compiled in the same form and order in which it is collected, it is known as	(D) primary data

(i) - A, (ii) - B, (iii) - C, (iv) - D

(i) - B, (ii) - A, (iii) - D, (iv) - C

(i) - A, (ii) - D, (iii) - C, (iv) - B

(i) - D, (ii) - C, (iii) - B, (iv) - A

Solution

(i) A histogram is a graphical representation of a grouped frequency distribution with continuous class.
(ii) The middle value of a class interval is called class mark.
(iii) When the data is collected at the first time by an investigator, it is called primary data.
(iv) When the data is compiled in the same form and order in which it is collected, it is known as raw data.

Question 4

1 / -0

Fill in the blanks with the help of the given table.

(i) The mean of a certain set of observations is 20. If each observation is divided by 2, then the new mean of the set of observations is P .
(ii) Q is that value of the given number of observations which divides it into exactly two parts.
(iii) The difference between the highest and lowest values in a given data is known as R of the data.
(iv) The points scored by John in 7 games of darts are 8, 10, 12, 13, 13, 13 and 5. The median of the given observations is S .

	P	Q	R	S
A	20	Mode	width	13
B	10	Median	range	12
C	15	Mean	frequency	5
D	10	Mode	width	8

A

B

C

D

Solution

(i) Mean of the set of observations = 20
If each observation is divided by 2, then:
New mean = 20/2 = 10

(ii) Median is that value of the given number of observations which divides it into exactly two parts.

(iii) The difference between the highest and lowest values in a given data is known as range of the data.

(iv) By arranging the data in ascending order, we get
5, 8, 10, 12, 13, 13, 13
The middle number is 12, which is the median of the data.