Practice Questions on Parameters and Statistics
Q1. Suppose we want to find the average weight of the students from all over the country. We have sample of size 100. The average weight of the sample is 60 kg. The sample standard deviation is 7. Construct a 90% confidence interval for population mean.(Refer to Z score table)
Q2. Calculate sample proportion of the random sample of size 200 where 80 samples follow certain trend. Also construct a 95% confidence interval for the true population proportion.
Q3. Find the sample mean of the dataset 1,2,3,4,5,6,7,18,19
Q4. Calculate sample standard deviation of the dataset 10,20,15,20,25.
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Parameters and Statistics
Statistics and parameters are two fundamental concepts in statistical theory. Although they may sound equal, there is a sharp difference between the two. One is used to represent the population, and the other is used to represent the sample. Now we will focus on the sample and population:
Population: A population refers to the whole data. It is the dataset that the statisticians use to derive conclusions or gain insights about the data.
Sample: Sample refers to the small dataset. It is considered to be a subset of population. Since population can be huge and may be difficult to examine, Statisticians usually consider a subset or sample, perform Statistical analysis and derive conclusions about the Population.
It is to be noted that the sample to be selected should be random in nature. If the subgroup or sample is not randomly selected, it may produce biased results.
Table of Content
- Parameters
- Statistics
- Relationship Between Sample and Population
- How to derive Population Parameter using Statistics?
- Types of Parameters and Statistics
- Difference between Parameters and Statistics
- Solved Questions on Parameters and Statistics
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