Important Questions: Statistics

QUESTION: 1

While computing mean of a grouped data, we assume that the frequencies are

A.
centered at the lower limits of the classes
B.
centered at the upper limits of the classes
C.
centered at the class marks of the classes
D.
evenly distributed over all the classes

Solution:

QUESTION: 2

d_i is the deviation of x_i from assumed mean a.

A.
class size
B.
number of observations
C.
assumed mean
D.
none of these

Solution:

QUESTION: 3

Construction of a cumulative frequency table is useful in determining the

A.
mean
B.
median
C.
mode
D.
all of the above

Solution:

The correct answer is b

A cumulative frequency table helps to determine the median of the series.

QUESTION: 4

Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is

A.
48
B.
49
C.
50
D.
60

Solution:

Sum of 100 observations = 100 x 49 = 4900
Correct sum = 4900 - [40 + 20 + 50] + [60 + 70 + 80] = 5000
∴ Correct mean = 5000/100 = 50

QUESTION: 5

In the formula, Mode

A.
frequency of the modal class
B.
frequency of the second class
C.
frequency of the class preceding the modal class
D.
frequency of the class succeeding the modal cla

Solution:

QUESTION: 6

Choose the correct answer from the given four options : In the formula
for finding the mean of grouped data are deviation from a of

A.
lower limits of the classes
B.
upper limits of the classes
C.
mid-points of the classes
D.
frequencies of the class marks

Solution:

QUESTION: 7

For the following distribution:

The sum of upper limits of the median class and model class is

A.
24
B.
40
C.
32
D.
16

Solution:

QUESTION: 8

While computing mean of grouped data, we assume that the frequencies are

A.
evenly distributed over all the classes
B.
centred at the classmarks of the classes
C.
centred at the upper limits of the classes
D.
centred at the lower limits of the classes

Solution:

QUESTION: 9

Consider the following frequency distribution of the height of 60 students of a class:

The sum of the lower limit of the modal class and upper limit of the median class is

A.
310
B.
315
C.
320
D.
330

Solution:

QUESTION: 10

For the following distribution:

the modal class is

A.
10 - 20
B.
20 - 30
C.
30 - 40
D.
50 - 60

Solution:

10 Questions MCQ Test NCERT Mathematics for CAT Preparation | Important Questions: Statistics

While computing mean of a grouped data, we assume that the frequencies are

d_i is the deviation of x_i from assumed mean a.

Construction of a cumulative frequency table is useful in determining the

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