T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 3 – Census and Sample Methods of Collection of Data is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.
|Subject||Statistics for Economics|
|Chapter Name||Census and Sample Methods of Collection of Data|
|Category||T.R. Jain and V.K. Ohri|
T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 3 – Census and Sample Methods of Collection of Data
Page No 50:
Which method − census or sample − would you prefer if you are to study economic conditions of the people in your area?
If I want to know the economic condition of people in my locality then the method that I would choose will depend upon the size of the area. If the area to be investigated is large then I would choose the sampling method of collecting data. As with large area, sample method will be more economical to use and also it will consume less time and cost.
In case the area to be investigated is small, census method will be more suitable as the results based on the census method are accurate and highly reliable.It also provides extensive information regarding the diverse characteristics of the elements of the data.
Page No 50:
Would you opt for a census method if you are to assess performance of Economics teacher in your school? Give reasons.
Yes, I would prefer the census method in order to assess the performance of my Economics teacher. The reason behind the same is that as the area of investigation will not be large it will be suitable to use the census method also the results based on this method posseses a high degree of accuracy and reliability.
Page No 50:
If your teacher is to assess IQ level of the students in your class, would a sample of 10 students out of 50 be enough to get good results?
No, choosing 10 students out of 50 students will not help to assess the IQ level of all the students in the class as it is not necessary that all the students share the same IQ level. There can be discrepancies in framing the sample i.e. it can be possible that the teacher might select the students who have the highest IQ level or may choose the students with the lowest IQ. In this case sample will not represent the whole population and the study may end up with wrong conclusions.
Page No 59:
There are 10 students in your school who excel in the game of cricket. All are equally brilliant, but you are to select only 3 out of 10 for representing your school in the inter-zonal cricket tournament. How would you do it? Give details with reason.
As all the students are equally brilliant in the game, so we can say that all the elements of our universe are homogeneous and identical. In this regard, all the students deserve a fair and equal chance of being selected into the team. Therefore, random sampling technique (lottery method), being a scientific method and free from any personal bias, would be the most appropriate to use for the selection of students.
Process of selection:First of all, write the name of each student on identical (in terms of size, colour, etc) slips of paper (total 10 slips). Now, place all the slips in a box or a container and shuffle well. After this draw one by one 3 slips from the box. Students with their name on the drawn slips would be selected for the tournament.
Page No 60:
There are 40 students in your school who are cricket players. You are to form a team of 11 players. How would you do it? Would you resort to random sampling technique? Give reasons in support of your answer.
We can use the random sampling technique if and only if all the students of the school are equally brilliant in the game of cricket, otherwise, if no such information is available non-random sampling technique can be used. In this regard, any of the non-random sampling, namely, judgement, quota or convenience sampling technique can be used. For instance, in accordance to the judgement sampling, based on your own opinion and judgement, any 11 students that in your opinion are the best, can be selected out of the total 40 students.
Page No 60:
You want to conduct a survey on the popularity of Noodles among the students of different schools in your town. How would you design and choose your sample of study? Give reasons in support of your answer.
In order to select a sample for the survey to be conducted for assessing the popularity of noodles, quota sampling method can be used. Under this method, the entire population would be divided into different groups according to various characteristics such as the school to which the student belongs, age group, etc. The required sample would then be selected from different groups. For example, suppose the sample is to collected from 100 children from 10 schools. The investigator can further decide that out of these 100 children 40% would be in the age group 5-10 and 60% in age group 10-15. The selection of the required sample for the interview within the quota would then be at the discretion of the investigator.
Page No 60:
In a village comprising 300 small and big farmers, you are to select a sample of 10% farming households. The idea is to study cropping pattern in the village. How would you take your decisions on selecting the sample?
In order to study the croppingpattern in the village, stratified sampling method can be used. Under this method, the entire population would be divided into two groups (strata), small farmers and big farmers. A sample would then be then drawn at random from each strata. Different samples drawn from the two stratas are then grouped together to get the required sample for the population.
Page No 60:
How would you use the random sampling method when you are to select a sample of 3 out of 10 students in your class?
The following steps would be involved while using the random sampling technique (lottery method) to select 3 students out of 10 students.
Step1: Write the name of each student on a different piece of paper (total 10 slips). Here,caution must be taken that the slips of paper are identical in all respects (size, colour, etc.).
Step2: Place all the slips in a box or a container and shuffle well.
Step3: Draw out three slips one by one at random from the box.
Step 4:Students with their name on the drawn slips would be selected as the sample.