STATISTICS - MCQs

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Maths — STATISTICS

50 Questions Class 10 MCQs
1
What is the main purpose of Statistics?
2
Which of the following is an example of raw data?
3
What is grouped data?
4
What is the class mark of the class interval \(20-30\)?
5
What does frequency represent?
6
Which measure represents the average value of data?
7
The formula for mean by direct method is:
8
Which method of finding mean is best when class intervals are equal?
9
What is assumed mean?
10
Median is the value which:
11
The median class is the class:
12
The formula for median of grouped data is:
13
In the median formula, \(cf\) represents:
14
What is mode?
15
The modal class is the class:
16
The formula for mode of grouped data is:
17
In the mode formula, \(f_1\) denotes:
18
What is cumulative frequency?
19
An ogive is a graph of:
20
A less-than ogive is drawn using:
21
A more-than ogive uses:
22
Median can be found graphically by:
23
Which measure is most affected by extreme values?
24
Which measure is suitable for skewed data?
25
Which measure helps identify the most common item?
26
What is class width?
27
Total frequency is denoted by:
28
Statistics helps mainly in:
29
Which chapter concept helps compare two distributions?
30
What should be calculated first while finding median?
31
Which representation is most suitable for cumulative data?
32
Which of the following is not a measure of central tendency?
33
In step deviation method, \(u_i\) represents:
34
Statistics is useful in which field?
35
Which graph shows frequency distribution?
36
The lower limit of median class is denoted by:
37
Which quantity represents class interval size?
38
Which value divides cumulative frequency into two equal parts?
39
Which method of mean is shortest?
40
Statistics mainly deals with:
41
In board exams, clarity of steps is important because:
42
Which value is always present in a data set?
43
What happens if frequencies are incorrect?
44
Statistics encourages which type of thinking?
45
Which measure is easiest to calculate?
46
The intersection point of ogives gives:
47
Which term describes most repeated observation?
48
Which chapter skill is most scoring?
49
Which value summarises the entire data?
50
The key objective of Statistics is to:
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Frequently Asked Questions

Statistics is the branch of mathematics that deals with the collection, organisation, presentation, analysis, and interpretation of numerical data.

Statistics helps in understanding trends, making comparisons, predicting outcomes, and taking data-based decisions in real-life situations.

Data refers to numerical information collected from observations, surveys, or experiments for analysis.

Raw data is unorganised data collected directly from a source without any classification or arrangement.

Grouped data is data organised into class intervals to simplify analysis when observations are large in number.

It is a table that shows how often values occur within defined class intervals.

Class intervals are divisions of data into fixed ranges used to group observations.

Class width is the difference between the upper and lower limits of a class interval.

The class mark is the midpoint of a class interval, calculated as \((\text{upper limit} + \text{lower limit})/2\).

Measures of central tendency describe a central or typical value of data, such as mean, median, and mode.

Mean is the average value of grouped data calculated using class marks and frequencies.

\(\bar{x} = \frac{\sum f_i x_i}{\sum f_i}\), where \(x_i\) are class marks and \(f_i\) are frequencies.

It is a method to calculate mean by assuming a convenient value as the mean to simplify calculations.

A short-cut method of finding mean using deviations divided by class width to reduce computation.

It is preferred when class intervals are equal and numbers are large.

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