CBSE Class 9 Maths Statistics
CBSE Class 9 Maths Statistics is a crucial chapter in the Syllabus of CBSE Class 9 as it holds various data-related skills related to it. Students must know that statistics help present complex data in simple tabular forms. Statistics enables us to know various data patterns, which help study and analyse various measurable parameters like population and much more. Moreover, it also helps in the effective planning of statistical inquiry in any field of study, and hence it becomes essential for learners to study the concepts of Statistics. For example, CBSE Class 9 Maths Grouping and Tabulation of data helps learners understand the various grouping and tabulation methods of data sets and includes problem-solving videos on the cumulative frequency tables. Like-wise, CBSE Class 9 Maths Graphical Representation of Data shows various graphical means through which data sets can be presented like Frequency polygons, Histograms. CBSE Class 9 Maths Measures of Central Tendency lets learners know about methods to solve application-based problems on various statistical approaches like Mean, Median and Mode.
Grouping and Tabulation of DataStatistics deals with collection, presentation, analysis and interpretation of numerical data.
The number of times an observation occurs in the data is called the frequency of the observation.
A frequency distribution in which the upper limit of one class differs from the lower limit of the succeeding class is an Inclusive or Discontinuous Frequency Distribution.
The one in which the upper limit of one class coincides from the lower limit of the succeeding class is an Exclusive or Continuous Frequency Distribution.
Graphical Representation of DataGraphically data can be represented using bar graph, histogram and frequency polygon.
In bar graphs, rectangular bars of uniform width are drawn with equal spacing between them on one axis.
A histogram is a set of adjacent rectangles whose area is proportional to the frequencies of a given continuous frequency distribution.
A frequency polygon is a variation of a histogram, in which the bars are replaced by lines connecting the midpoints at top of the bars.
Measures of Central TendencyMedian is the value of the middle - most observation. If the number of observations n is odd, then the median is the value of the (n + 1)/2observation.
If n is even then median is the avegrage of n/2 and (n/2 + 1) observation
Mode is the value of that variety which has the maximum frequency.
CBSE Class 9 Textbook Solutions, Videos, Sample Papers & More
Once all the resources are through for Statistics, Students are recommended to practice and revise from CBSE Class 9 Maths Statistics Most Important Questions. The MCQs are vital for practising through CBSE Class 9 Maths Statistics Multiple Choice Questions. Students are requested to practice the CBSE Class 9 Maths Statistics Short Answer Questions, which will improve their thinking and problem-solving skills. Moreover, we recommend practising the overall CBSE Class 9 Maths Statistics Weekly Tests available on the TopperLearning website. If any academic doubts arise while practising the chapter resources, visit the UnDoubt sections and clarify them through the already answered pool of questions available on the website.
What are the critical features of NCERT Solutions for Class 9 Maths Chapter 14?
NCERT Solutions for Class 9 Maths Chapter 14 is on Statistics and includes Grouping and Tabulation of data, Graphical representation of data and Measures of central tendency. Each concept has NCERT solutions as well as concept and problem-solving videos. Students prefer to revise from these concepts and refer to the chapter notes and other features, including Sample papers, tests, and UnDoubt. Students use this UnDoubt service to see top user queries on specific concepts.
How is a CBSE Term I exam perspective of NCERT Solutions for Class 9 Maths Chapter 14?
NCERT Solutions for Class 9 Maths Chapter 14 on statistics carries six marks and is crucial for exam perspective. This chapter deals with a graphical representation of data and teaches Measures of central tendency. Students use TopperLearning question bank to practice the Multiple-choice and Short-answer type of questions. The bank also includes the Case-Study based questions to revise and practice.
What is the meaning of statistics according to NCERT Solutions for Class 9 Maths Chapter 14?
Accordingly to NCERT Solutions for Class 9 Maths Chapter 14, Statistics deals with collecting, presenting, analysing, and interpreting data. Data can be either ungrouped or grouped. Further, grouped data could be categorised into:
(a) Discrete frequency distribution and (b) Continuous frequency distribution.
Data can be represented in tables or the form of graphs. Common graphical forms are bar charts, pie diagrams, histograms, frequency polygons, ogives, etc.
The first order of comparison for a given data is the measures of central tendencies. Commonly used measures are (i) Arithmetic mean (ii) Median (iii) Mode.
How can we find the median of grouped data?
Median is the measure that divides the data into two equal parts. The median is the middle term when the data is sorted. In the case of odd observations, the middle observation is the median. In the case of actual observations, the median is the average of the two middle observations. The median can be determined graphically. It does not take into account all the observations.
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What is the relationship between the mean, median and mode of a data set?
The relationship between the mean, median, and mode of a data set is crucial to understanding statistics. The difference between mean and mode equals three times the difference between the mean and median.
3 Median = 2 Mean + Mode
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