Mathematics for Computer Science Engineers Quiz

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Questions and Answers

What is the total mark reduction for the Datathon in the evaluation policy?

15 Marks

5 Marks (correct)

10 Marks

20 Marks

How many marks can a student earn for the hands-on session code submission?

20 Marks

25 Marks

5 Marks (correct)

10 Marks

Which statement best describes the focus of Data Science?

Data Science relies solely on mathematical models.

Data Science is strictly about programming tasks.

Data Science extracts knowledge and insights from data. (correct)

Data Science focuses on database management.

What is the total number of marks an assignment can contribute to the evaluation policy?

10 Marks Signup and view all the answers

What would happen if a student didn't submit their code on the same day of hands-on sessions?

They would lose marks for late submission. Signup and view all the answers

What is a major disadvantage of convenience sampling?

It may not represent the overall population. Signup and view all the answers

What type of sampling involves researchers using their judgment to select participants?

Judgemental Sampling Signup and view all the answers

Which of the following is an advantage of judgemental sampling?

It gives researchers the opportunity to apply their expertise. Signup and view all the answers

What best describes the process of quota sampling?

It selects samples until a predetermined quota is reached. Signup and view all the answers

Which statement accurately reflects a disadvantage of convenience sampling?

It may lead to sampling errors. Signup and view all the answers

In judgmental sampling, which of the following characteristics is critical?

The researcher chooses participants based on perceived relevance to the study. Signup and view all the answers

What is a primary focus of quota sampling?

Meeting specific quotas based on characteristics. Signup and view all the answers

Why might judgmental sampling lead to issues in research?

The researcher can make biased judgments. Signup and view all the answers

What is a key characteristic of quota sampling?

It does not involve random selection. Signup and view all the answers

What is an advantage of quota sampling?

It is a cost-effective method. Signup and view all the answers

Which of the following is a disadvantage of quota sampling?

It can result in sampling bias. Signup and view all the answers

In snowball sampling, how are participants selected?

Based on referrals from existing subjects. Signup and view all the answers

What is one primary advantage of snowball sampling?

It allows access to hard-to-reach populations. Signup and view all the answers

Which of the following represents a disadvantage of snowball sampling?

There is a risk of selection bias. Signup and view all the answers

What is the purpose of quota sampling?

To have predetermined characteristics represented in a sample. Signup and view all the answers

In the example of selecting coins, which characteristic defined the sampling criterion?

Coins having a number in multiples of four. Signup and view all the answers

What is a sample statistic?

A value calculated from a subset of the population. Signup and view all the answers

Which of the following factors does NOT affect the sample size?

Sampling technique used Signup and view all the answers

What is the main difference between sampling error and non-sampling error?

Sampling error is due to sample representation issues; non-sampling error occurs during data collection. Signup and view all the answers

What does the term 'sampling error' refer to?

The difference between sample statistic and population parameter. Signup and view all the answers

Which of the following describes a population parameter?

Mean income for the entire population. Signup and view all the answers

In terms of sampling, what does a larger sample size typically lead to?

Better representation of the population. Signup and view all the answers

Which statement about non-probability samples is true?

Sample size has little effect on the validity of results. Signup and view all the answers

What is a potential problem with using a small sample size from a heterogeneous population?

It can lead to a high margin of error. Signup and view all the answers

What is the best definition of the median in a data set?

The value separating the higher half from the lower half. Signup and view all the answers

How is the median calculated if the number of values in a data set is even?

The median is the average of the (n/2)th and (n/2 + 1)th element's values. Signup and view all the answers

What is a significant disadvantage of using the median?

It cannot be utilized for further algebraic treatment. Signup and view all the answers

What characterizes a mode in a data set?

It appears most frequently in the data values. Signup and view all the answers

In which scenario might the mode be considered meaningless?

When there are no repeated values in the data. Signup and view all the answers

What does a positive skewness value indicate about the data distribution?

The right side of the distribution is elongated or skewed. Signup and view all the answers

In symmetric distributions, which measures of central tendency are equal?

Mean, median, and mode. Signup and view all the answers

What is a characteristic of skewed distributions?

The mean lies closer to the tail on the side of the skew. Signup and view all the answers

Study Notes

Evaluation Policy in Mathematics for Computer Science Engineers

ISA 1 and ISA 2 each contribute 40 marks, reduced to 20 marks.
Assignments include Coding (5 marks) and Datathon (20 marks), totaling 25 marks.
Hands-on session codes are to be submitted on the same day, impacting marks by 5.

Data Science Overview

Data Science combines various disciplines to extract knowledge and insights from data.
Essential for solving real-world problems and deriving actionable insights.

Convenience Sampling

Involves gathering data from easily accessible subjects, such as surveying classmates immediately after class.
Advantages include cost-effectiveness and time efficiency.
Disadvantages focus on potential sampling bias and non-representative results.

Judgemental Sampling

A non-probability sampling method where researchers select samples based on their judgement of appropriateness.
Useful when the population has limited expertise.
Advantages include time efficiency; disadvantages involve risks of bias and low reliability.

Quota Sampling

Sample selection until predetermined quotas are met based on characteristics without random selection.
Similar to stratified sampling but relies on non-random methods.
Efficient in cost and time, yet can lead to sampling bias.

Snowball Sampling

Subjects are recruited through referrals from existing participants, expanding the sample size effectively.
Particularly beneficial for hard-to-reach populations, such as the homeless or undocumented individuals.
Advantages include ease of access; disadvantages include risk of selection bias.

Sample Size Considerations

Larger sample sizes are preferable for probability sampling due to population heterogeneity.
Factors affecting sample size include total population size, margin of error, and desired confidence level.

Sample Statistic vs. Population Parameter

Sample Statistic refers to metrics derived from a sample (e.g., sample average).
Population Parameter refers to metrics applicable to the entire population (e.g., population mean).
Recognize the distinction between statistics based on samples versus the entire population.

Errors in Sampling

Sampling Error occurs when the sample does not accurately represent the population.
Non-sampling Error arises during data collection, leading to discrepancies from true values.

Measures of Central Tendency: Median

Median divides data into higher and lower halves, robust against outliers.
Calculation involves ordering data and determining the middle value based on whether the sample size is odd or even.
Advantages include resilience to outliers; disadvantages limit further algebraic analysis.

Measures of Central Tendency: Mode

The most frequently occurring value in a dataset; can be multimodal.
Quick to compute and not influenced by extreme values, useful in identifying common items.
Potential unrepresentativeness if the subgroup skews the data.

Skewness in Distributions

Skewness indicates the asymmetry around the mean; can be positive, negative, zero, or undefined.
In symmetric distributions, mean, median, and mode coincide, while in skewed distributions, they differ.
The extent of skewness increases with the distance between the mean and median.

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Description

This quiz evaluates key concepts from the 'Mathematics for Computer Science Engineers' course at Brigham Young University. It explores topics essential for understanding mathematical foundations in computer science, focusing on evaluation methods and assignment components.