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Statistics 
 
Practice Set 6.1 
 
Q. 1. The following table shows the number of students and the time they utilized 
daily for their studies. Find the mean time spent by students for their studies by 
direct method. 
 
 
Answer : 
 
 
Q. 2. In the following table, the toll paid by drivers and the number of vehicles is 
shown. Find the mean of the toll by 'assumed mean' method. 
 
 
Answer : 
Page 2


Statistics 
 
Practice Set 6.1 
 
Q. 1. The following table shows the number of students and the time they utilized 
daily for their studies. Find the mean time spent by students for their studies by 
direct method. 
 
 
Answer : 
 
 
Q. 2. In the following table, the toll paid by drivers and the number of vehicles is 
shown. Find the mean of the toll by 'assumed mean' method. 
 
 
Answer : 
 
 
Q. 3. A milk centre sold milk to 50 customers. The table below gives the number 
of customers and the milk they purchased. Find the mean of the milk sold by 
direct method. 
 
 
Answer : 
Page 3


Statistics 
 
Practice Set 6.1 
 
Q. 1. The following table shows the number of students and the time they utilized 
daily for their studies. Find the mean time spent by students for their studies by 
direct method. 
 
 
Answer : 
 
 
Q. 2. In the following table, the toll paid by drivers and the number of vehicles is 
shown. Find the mean of the toll by 'assumed mean' method. 
 
 
Answer : 
 
 
Q. 3. A milk centre sold milk to 50 customers. The table below gives the number 
of customers and the milk they purchased. Find the mean of the milk sold by 
direct method. 
 
 
Answer : 
 
 
Q. 4. A frequency distribution table for the production of oranges of some farm 
owners is given below. Find the mean production of oranges by 'assumed mean' 
method. 
 
 
Answer : 
 
Page 4


Statistics 
 
Practice Set 6.1 
 
Q. 1. The following table shows the number of students and the time they utilized 
daily for their studies. Find the mean time spent by students for their studies by 
direct method. 
 
 
Answer : 
 
 
Q. 2. In the following table, the toll paid by drivers and the number of vehicles is 
shown. Find the mean of the toll by 'assumed mean' method. 
 
 
Answer : 
 
 
Q. 3. A milk centre sold milk to 50 customers. The table below gives the number 
of customers and the milk they purchased. Find the mean of the milk sold by 
direct method. 
 
 
Answer : 
 
 
Q. 4. A frequency distribution table for the production of oranges of some farm 
owners is given below. Find the mean production of oranges by 'assumed mean' 
method. 
 
 
Answer : 
 
 
= 37.5-2.19 
= 35.31 
?The amount is given in thousands or rupees 
? 35.31× 1000 = Rs 35130 
Q. 5. A frequency distribution of funds collected by 120 workers in a company for 
the drought affected people are given in the following table. Find the mean of the 
funds by 'step deviation' method. 
 
 
Answer : 
 
 
Page 5


Statistics 
 
Practice Set 6.1 
 
Q. 1. The following table shows the number of students and the time they utilized 
daily for their studies. Find the mean time spent by students for their studies by 
direct method. 
 
 
Answer : 
 
 
Q. 2. In the following table, the toll paid by drivers and the number of vehicles is 
shown. Find the mean of the toll by 'assumed mean' method. 
 
 
Answer : 
 
 
Q. 3. A milk centre sold milk to 50 customers. The table below gives the number 
of customers and the milk they purchased. Find the mean of the milk sold by 
direct method. 
 
 
Answer : 
 
 
Q. 4. A frequency distribution table for the production of oranges of some farm 
owners is given below. Find the mean production of oranges by 'assumed mean' 
method. 
 
 
Answer : 
 
 
= 37.5-2.19 
= 35.31 
?The amount is given in thousands or rupees 
? 35.31× 1000 = Rs 35130 
Q. 5. A frequency distribution of funds collected by 120 workers in a company for 
the drought affected people are given in the following table. Find the mean of the 
funds by 'step deviation' method. 
 
 
Answer : 
 
 
 
Q. 6. The following table gives the information of frequency distribution of weekly 
wages of 150 workers of a company. Find the mean of the weekly wages by 'step 
deviation' method. 
 
 
Answer : 
 
 
? Mean of weekly wages is Rs 3066.67 
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FAQs on Textbook Solutions: Statistics - Mathematics Class 10 (Maharashtra SSC Board)

1. What are the key concepts covered in the Statistics curriculum for Class 10?
Ans.The Statistics curriculum for Class 10 typically covers concepts such as data collection, organization, and representation. Students learn about measures of central tendency, including mean, median, and mode, as well as how to interpret graphs such as histograms and pie charts. Additionally, the curriculum often includes probability basics and the importance of statistics in real-life applications.
2. How can I effectively prepare for Statistics examinations in Class 10?
Ans.Effective preparation for Statistics examinations involves several strategies. First, students should review the syllabus and focus on understanding each concept thoroughly. Practicing problems from previous years and sample papers can help familiarize students with the exam format. Additionally, working in study groups can facilitate discussion and clarify doubts. Regularly revising formulas and concepts is also crucial for retention.
3. What are the common methods for representing statistical data?
Ans.Common methods for representing statistical data include tables, bar graphs, line graphs, histograms, and pie charts. Tables provide a structured way to present data, while bar and line graphs are useful for showing trends over time. Histograms help visualize frequency distributions, and pie charts illustrate proportions of a whole. Each representation serves a unique purpose depending on the nature of the data being analyzed.
4. What is the importance of learning Statistics in Class 10?
Ans.Learning Statistics in Class 10 is important for several reasons. It equips students with the skills to analyze and interpret data, which is essential in various fields, including science, economics, and social studies. Understanding statistics fosters critical thinking and informed decision-making, enabling students to assess information presented in everyday life, such as surveys and reports. Furthermore, statistical knowledge lays the foundation for advanced studies in mathematics and related disciplines.
5. What are measures of central tendency, and how are they calculated?
Ans.Measures of central tendency are statistical values that describe the center of a data set. The three main measures are mean, median, and mode. The mean is calculated by adding all values and dividing by the number of values. The median is the middle value when the data is arranged in order; if there is an even number of values, the median is the average of the two middle numbers. The mode is the value that appears most frequently in the data set. Understanding these measures helps summarize data effectively.
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