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NCERT Solutions for Class 9 Maths Chapter 14 Statistics

NCERT Solutions for Class 9 Maths Chapter 14 Statistics covers the collection and presentation of data, frequency distribution tables, graphical representation (bar graphs, histograms, frequency polygons), and measures of central tendency.

Overview of Topics & Subtopics (Click to Jump)

1. Collection and Presentation of Data

Short Note:

• Primary data is collected by the investigator directly; secondary data is collected by someone else and used by the investigator.

• Raw data can be organised into a frequency distribution table, grouping observations into class intervals with their frequencies.

2. Graphical Representation of Data

Short Note:

• Bar Graph: a display using bars of uniform width, with heights proportional to the corresponding frequencies/values, for discrete categories.

• Histogram: a graph for continuous class intervals, drawn as adjacent rectangles with no gaps (unless class sizes vary, requiring adjusted heights).

• Frequency Polygon: obtained by joining the mid-points of the tops of the rectangles of a histogram with straight lines.

3. Measures of Central Tendency

Short Note:

• Mean (average) = sum of all observations ÷ number of observations.

• Median: the middle-most observation when data is arranged in order; for even n, average of the two middle values.

• Mode: the observation that occurs most frequently in the data.

NCERT Textbook Exercise Questions

The blood groups of 30 students are recorded. Represent this data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group?
Answer: Tallying the number of students in each blood group category (A, B, AB, O) gives the frequency table. The blood group with the highest frequency is the most common, and the one with the lowest frequency is the rarest — typically O is most common and AB is rarest in such datasets.
Find the mean of the first 10 natural numbers.
Answer: Mean = (1+2+3+...+10)/10 = 55/10 = 5.5.
Find the median of the data: 24, 36, 46, 17, 18, 25, 35.
Answer: Arranging in ascending order: 17, 18, 24, 25, 35, 36, 46. There are 7 observations, so the median is the 4th value = 25.
The following observations are arranged in ascending order: 26, 29, 42, 53, x, x+2, 70, 75, 82, 93. If the median is 63, find x.
Answer: With 10 observations, median = average of 5th and 6th terms = (x + (x+2))/2 = x + 1. Given median = 63: x + 1 = 63 ⇒ x = 62.
Find the mode of the data: 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Answer: The value 14 occurs 4 times, more than any other value, so the mode of the data is 14.
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Class 9 › Mathematics › Statistics
Chapter notesRead the chapterPractice MCQsCheck what you rememberChapter test10 questions on one pageOnline testTest 1, 2 and 3, one question at a timePYQPrevious year questionsStudy materialPDF notes
Topics in this chapter: Collection and Presentation of DataGraphical Representation of DataMeasures of Central Tendency