RD Sharma Class 10 Solutions Chapter 7 – Statistics: Statistics is a crucial chapter in Class 10 mathematics that helps students learn how to collect, organize, and interpret data. The RD Sharma Class 10 Chapter 7 focuses on the basics of statistics and is an essential part of the CBSE Class 10 syllabus Maths. With the help of RD Sharma Class 10 Solutions Chapter 7 Solutions, students can easily understand important concepts such as mean, median, mode, and how to represent data using different charts and graphs.
The RD Sharma Class 10 Solutions 2025-26 are designed to provide step-by-step explanations, making it easier for students to solve all types of questions in the statistics chapter. These solutions complement the NCERT Solutions for Class 10 Maths and cover the entire syllabus effectively. The RD Sharma Statistics Class 10 Solutions help students improve their data analysis skills and prepare well for board exams.
For students looking to study offline, the RD Sharma Class 10 Statistics PDF Download is available, providing comprehensive answers and examples. The solutions simplify complex problems and build a strong foundation for higher studies in mathematics. To access all the detailed solved questions and formulas, read the full article and download the Class 10 Chapter 7 PDF with complete solutions for better practice and revision.
RD Sharma Class 10 Chapter 7 Statistics PDF with Solutions
The RD Sharma Class 10 Solutions 2025-26 PDF for Chapter 7 is a helpful tool for students learning Statistics. This chapter teaches how to collect, organize, and understand data in a easy and step-by-step way. The RD Sharma Class 7 Statistics PDF includes solutions for mean, median, and mode, which are important concepts in the CBSE Class 10 Maths syllabus.
Sometimes students find data confusing, but the RD Sharma Class 10 Solutions 2025-26 PDF makes it simple by giving clear steps and solved examples. These solutions follow the latest syllabus and help students practice better for exams.
If you want to study without internet, you can go for the RD Sharma Class 7 Statistics PDF Download and prepare anytime at home.
Important Questions RD Sharma Class 10 Chapter 7 Statistics with Solutions
These questions comprehensively cover Mean, Median, Mode, Missing frequency, and Graphical representation as found in the RD Sharma book and commonly asked in exams.
Calculate the Mean (Direct Method)
Q: Calculate the mean for the following distribution:
| x | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|
| f | 4 | 8 | 14 | 11 | 3 |
Solution:
Mean = Σfx / Σf = 281 / 40 = 7.025
Mean for a Larger Data Set
Q: Find the mean of the following data:
| x | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
|---|---|---|---|---|---|---|---|
| f | 13 | 15 | 16 | 18 | 16 | 15 | 13 |
Solution: Mean = 2620 / 106 = 25
Find Missing Value (Mean Given)
Q: Mean of the given data is 20.6. Find the value of p:
| x | 10 | 15 | p | 25 | 35 |
|---|---|---|---|---|---|
| f | 3 | 10 | 25 | 7 | 5 |
Solution:p = 20
Find 'p' When Mean is Specified
Q: If mean is 15, find p for:
| x | 5 | 10 | 15 | 20 | 25 |
|---|---|---|---|---|---|
| f | 6 | p | 6 | 10 | 5 |
Solution:p = 8
Find 'p' in Arithmetic Mean
Q: Given mean is 16.6,
| x | 8 | 12 | 15 | p | 20 | 25 | 30 |
|---|---|---|---|---|---|---|---|
| f | 12 | 16 | 20 | 24 | 16 | 8 | 4 |
Solution:p = 18
Missing Frequency (Mean Given)
Q: Mean is 12.58,
| x | 5 | 8 | 10 | 12 | p | 20 | 25 |
|---|---|---|---|---|---|---|---|
| f | 2 | 5 | 8 | 22 | 7 | 4 | 2 |
Solution:p = 15
Find Missing Frequency in Mean Calculation
Q: Mean is 7.68,
| x | 3 | 5 | 7 | 9 | 11 | 13 |
|---|---|---|---|---|---|---|
| f | 6 | 8 | 15 | p | 8 | 4 |
Solution:p = 9
Mean by Assumed Mean Method
Q: Given frequency distribution:
| No. of Calls (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| No. of Intervals (f) | 15 | 24 | 29 | 46 | 54 | 43 | 39 |
Solution: Mean number of calls = 3.54
Mean by Step Deviation
Q: Expenditure distribution (class interval):
| Expenditure (₹) | 100–150 | 150–200 | 200–250 | 250–300 | 300–350 | 350–400 | 400–450 | 450–500 |
|---|---|---|---|---|---|---|---|---|
| Frequency (f) | 24 | 40 | 33 | 28 | 30 | 22 | 16 | 7 |
Solution: Mean = 266.25
Median for Ungrouped Data
Q: Find the median of: 715, 724, 725, 710, 729, 745, 694, 699, 696, 712, 734, 728, 716, 705, 719
Solution: Arrange data; Median = middle value = 716
Median for Grouped Data
Q: Heights of students:
| Height (cm) | 160–162 | 163–165 | 166–168 | 169–171 | 172–174 |
|---|---|---|---|---|---|
| Students | 15 | 118 | 142 | 127 | 18 |
Solution: Median class: 166–168; Median ≈ 167.13
Find Median When Value is Missing
Q: Given median = 24. Find missing frequency.
| Age (years) | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 |
|---|---|---|---|---|---|
| No. | 5 | 25 | ? | 18 | 7 |
Solution: Missing frequency = 25
Mode for Discrete Series
Q: Find mode: 3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
Solution: Mode = 5 (occurs most)
Mode for Grouped Frequency Distribution
Q:
| Class Interval | 10–15 | 15–20 | 20–25 | 25–30 | 30–35 |
|---|---|---|---|---|---|
| Frequency (f) | 30 | 45 | 75 | 35 | 25 |
Solution: Modal class: 20–25, Mode ≈ 22.14 [use formula]
Compare Mode of Two Groups
Q: Group A and B age frequencies; find and compare mode.
Solution: Calculate modal class for each group and compare values.
Find All Three (Mean, Median, Mode)
Q:
| Daily Income (₹) | 100–120 | 120–140 | 140–160 | 160–180 | 180–200 |
|---|---|---|---|---|---|
| Frequency | 12 | 14 | 8 | 6 | 10 |
Mean: 145.2
Median: 138.57
Mode: 125
Draw an Ogive (Less than method)
Q: Given cumulative frequency distribution, plot the 'less than' ogive.
Solution: Convert less than frequencies and plot upper class limit vs. cumulative frequency on a graph.
Draw Frequency Polygon
Q: Monthly profits (100 shops):
| Interval | 0–50 | 50–100 | 100–150 | 150–200 | 200–250 | 250–300 |
|---|---|---|---|---|---|---|
| No. of shops | 12 | 18 | 27 | 20 | 17 | 6 |
Solution: Calculate mid-values; plot (mid-value, frequency) for polygon.
Interpret Central Tendency Measures
Q: What does it mean if mode > mean for an age distribution?
Solution: The maximum group is younger than the average age; distribution is negatively skewed.
Cumulative Frequency Table
Q: Convert a frequency distribution to a 'less than' cumulative frequency distribution.
Solution: Successively add class frequencies and write cumulative totals for each upper class limit.
RD Sharma Solutions Class 10 Chapter 7 – Statistics PDF Overview
The RD Sharma Solutions Class 10 Chapter 7 PDF is a great resource to help students learn statistics easily and clearly. This chapter, called Statistics, is an important part of the latest CBSE Class 10 syllabus. It teaches students how to collect, organize, and interpret data using tools like mean, median, and mode, which are useful for exams and practical understanding.
Main topics in Chapter 7:
- Understanding data collection and representation
- Calculating mean, median, and mode
- Using bar graphs and histograms to represent data
- Understanding cumulative frequency
- Applying statistics in real-life situations
The RD Sharma Class 10 Chapter 7 PDF offers simple, step-by-step solutions and easy explanations for every question. Though some students may find statistics confusing, the detailed solutions in the PDF make it easier to understand and solve problems correctly.
Why use RD Sharma Solutions Class 10 Chapter 7 PDF?
- Clear and simple solutions for every question
- Useful for homework, revision, and exam preparation
- Important formulas and concepts explained with examples
- Downloadable PDF lets you study offline anytime
- Free to access and useful even if you make mistakes while practicing
Benefits of Solving RD Sharma Class 10 Chapter 7 – Statistics
- Builds strong concepts: Helps you understand data handling, important for higher studies
- Improves problem-solving: Contains many practice problems to enhance accuracy and thinking skills
- Board exam ready: Questions align with the latest CBSE Class 10 syllabus for exam success
- Increases speed and accuracy: Regular practice with this PDF improves how fast and correctly you solve questions
- Full solutions: Step-by-step answers ensure you never get stuck
- Prepares for competitive exams: Statistics is also important for exams like JEE and NEET, so practicing here builds a strong base
Download the RD Sharma Class 10 Solutions Chapter 7 PDF now to practice well and score better in your statistics chapter.
Frequently Asked Questions
Answer: Chapter 7 of RD Sharma Class 10, titled "Statistics", primarily deals with data collection, representation, and analysis. It includes:
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Construction of frequency distribution tables
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Calculation of mean, median, and mode for grouped data
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Use of cumulative frequency and ogive curves
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Understanding class intervals, class marks, and midpoints
This chapter builds foundational skills required for data interpretation in higher classes and competitive exams.
Answer:
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Mean is the average value of a data set, found by dividing the sum of all values by the number of observations.
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Median is the middle value when data is arranged in ascending or descending order.
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Mode is the value that occurs most frequently in the data set.
In grouped data, all three are calculated using specific formulas and sometimes graphical methods (like the mode using a histogram).
Answer: A cumulative frequency table displays the running total of frequencies up to a certain class interval. It is useful because:
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It helps in finding the median of grouped data.
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It gives a clear picture of data distribution.
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It is often used to draw ogive curves, which visually represent cumulative frequency and help compare data sets easily.
Answer: Statistics is crucial because it:
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Teaches students how to organize and interpret data logically.
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Lays the groundwork for data analysis used in real-world applications and subjects like economics, business, and science.
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Helps students prepare for boards, competitive exams, and future studies involving data science and analytics.