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# CBSE Class 10 Maths Worksheet Chapter 14 Statistics - PDF Last updated date: 29th Nov 2023
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## CBSE Class 10 Maths Worksheet Chapter 14 Statistics - Download Free PDF

Maths is a difficult subject for many students where the sentiments on the topic are divided. There are some students who love it while others might dread it. On top of that, the statistics classes complicate the matter further for those who are not mathematically bent and they wonder why they should study statistics at all.

Statistics is a branch of Mathematics that deals with the collection, analysis, organisation, interpretation, and presentation of data. Statistics have wide applications in real-life situations. When we present data in an understandable form, it can give valuable insights.

In Class 10th Statistics, students learn all the basic terms associated with the subject like mean, median, mode, frequency, etc. Students understand formulas for these statistical measures and get to apply them in a variety of statistics worksheets. The statistics worksheet has all types of questions including Statistics Class 10 MCQ.

If you are looking for the Statistics Class 10 worksheet with solutions, then read on to know all about what it contains.

CBSE Class 10 Maths Worksheet Chapter 14 Statistics - PDF will be uploaded soon

## Importance of Learning and Solving Statistics Worksheet

Statistics holds a lot of significance in many advanced topics and students would need a strong foundation in statistics to be able to do well in future classes. Today's world is data-driven where statistic applications can be found in abundance in everyday life.

• Statistics is the building block for other science and Maths concepts. It allows data to be organised in a way that makes sense for the application of Maths and science formulas.

• Statistics also touch on other areas of society such as the government where politicians and campaign managers are able to target specific voter demographics through statistics.

• By studying statistics you begin to think like a scientist as it trains your mind to think about data organisation, hypotheses, etc.

• You get extremely comfortable around numbers after you gain knowledge in statistics.

• Accumulating and interpreting data is not just limited to the field of statistics but other fields like a business also use it to make decisions. Many industries gain invaluable insight by learning how to analyse data since numbers are everywhere and in all types of industries.

• Statistics are used for our safety also. For example, one can foresee if a natural calamity might happen in the near future and prepare for it using statistical methods.

## Examples From Statistics Class 10 Worksheet PDF

The practice worksheet has an amalgam of questions from statistics as described below:

• Frequency Distribution Questions:

• Given below are the ages of 15 students of Class 10th, prepare a discrete frequency distribution for this data:

11, 15, 12, 17, 13, 16, 16, 14, 14, 15, 17, 17, 12, 11, 12

• Following are electricity bills (in INR) of 20 houses in a locality. Using a class size of 5, construct a grouped frequency distribution:

32, 54, 74, 45, 14, 44, 34, 95, 96, 88, 20, 102, 66, 108, 77, 15, 54, 30, 40, 15, 22

• Given below are the class marks of distribution, find out the class size, the true class limits, and class limits:

45, 50, 55, 60, 70, 75, 80, 85, 90, 95, 100

• Questions on Mean, Median, and Mode:

• Below is the distribution of weights of 20 students in a class. Find the students’ median weight:

 Weight in kgs 20-25 25-30 30-35 35-40 Number of students 3 14 2 1

• The table below depicts the daily wages of 30 workers in a factory. What is the mean daily wage of the workers?

 Daily wages INR 200-300 300-400 400-500 500-600 Number of workers 15 7 5 3

• Statistics Class 10 MCQ

• If the mode of a distribution is 7 and the mean is 8, then what is its median?

• 11/3

• 23/3

• 23

• 1/13

• The mode of data 4, 4, 5, 6, 5, 6, 5, 3, 4 is:

• 3

• 4

• 5

• 6

## Some Interesting Facts About Statistics

• On average, the human eye blinks around 4.2 million times in a year as found through statistics.

• Statistics and probability are tightly coupled and they deal with laws that govern random events.

• Probability originated in the 17th century with the study of gambling and insurance.

• Statistics is believed to have taken birth in 1662 when William Petty and John Graunt laid the foundation for modern demography by developing early human census and statistical methods.

• John Graunt also developed the first life table which has data on survival for each age.

• Prof. Prasanta Chandra Mahalanobis is deemed the father of Indian statistics and has received many honours and awards both in India and abroad.

## Important Topics of Statistics Class 10 Worksheet with Solutions

• Learn the formula for mean, median, and mode.

• Learn how to find out the mean of grouped data with and without class interval (Direct Method, Step Deviation Method, and Deviation or Assumed Mean Method).

• Learn how to find out the mode and median of grouped data.

• Understand how to draw a frequency distribution table.

• Learn how to represent cumulative frequency distribution graphically.

## Statistics Made Easy - Get Your Free PDF of Complete Statistics Class 10 Worksheet with Solutions

• Statistics could be tricky but Vedantu’s team of experts with numerous years of experience and thorough research has made this daunting topic look easy in their statistics class 10 worksheet pdf.

• The PDF contains many solved examples, practice questions, tips, and tricks to enable you to solve any type of question on statistics.

• You can take a printout of the PDF to have ease of access in the exam hall.

Statistics is a powerful topic and if you can master this subject, you can be assured of a bright future as statistics has gained immense value in today's digital and data-driven age. In this article, Vedantu's team can guide you step by step in understanding all the concepts of Class 10th statistics.

## FAQs on CBSE Class 10 Maths Worksheet Chapter 14 Statistics - PDF

1. What is the difference between the mean, median, and mode of data

• Mean refers to the average of the entire data and if data is x1, x2, ….xn, then mean is calculated as (x1 + x2 + ….. + xn)/n.

• The Median is the value that falls in the middle of the data when data is arranged in ascending order. For example, for the data shown below, the median is 6;

2, 3, 4, 5, 6, 7, 8, 9, 10.

If the number of elements is even, then the median is calculated by adding the two numbers in the centre and dividing it by 2. For instance, the median of the following data would be (5 + 6)/2 which is 5.5;

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• Mode is the data point that has the highest frequency. If there is more than one data point having the highest frequency, then the data will have more than one mode. Some examples are:

2, 3, 4, 4, 5, 6 - Here the mode is 4 as it is the only number appearing twice.

2, 3, 4, 4, 3, 5, 6 - Here there are two modes, i.e., 3 and 4 as both appear twice in the list.

2. What are the major subdivisions of statistics?

There are mainly two types of statistics as illustrated below:

• Descriptive Statistics - The main goal of this subdivision is the reduction of data which means huge amounts of data are summarised in tables and graphs and measuring their variability and calculating measures of central tendencies.

• Inferential Statistics - This division uses descriptive statistics for hypothesis testing and drawing conclusions.

3. What is a frequency distribution?

The frequency or number of occurrences of distinct values which are distributed in a given interval or time period. The frequency distribution can be displayed as a table, list, or graphical representation.