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Stats 1 week 4 important questions

Week 4 of Statistics for Data Science I: Association between two variables. Extra important questions based on the recent, changing patterns of the exams, from basic to advanced. Practise them in learning mode: each question has a worked solution.

Question 1

Numerical answer

The table shows the number of people for each combination of gender and preferred mode of study.

Gender\Preferred mode of studyOnlineOfflineHybridMale11316Female391149\begin{array}{|l|c|c|c|}\hline \text{Gender} \backslash \text{Preferred mode of study} & \text{Online} & \text{Offline} & \text{Hybrid}\\ \hline \text{Male} & 11 & 31 & 6 \\ \text{Female} & 39 & 11 & 49 \\ \hline \end{array}

How many people have gender "Male"?

Question 2

One correct option

The table shows the number of people for each combination of gender and preferred mode of study.

Gender\Preferred mode of studyOnlineOfflineHybridMale11316Female391149\begin{array}{|l|c|c|c|}\hline \text{Gender} \backslash \text{Preferred mode of study} & \text{Online} & \text{Offline} & \text{Hybrid}\\ \hline \text{Male} & 11 & 31 & 6 \\ \text{Female} & 39 & 11 & 49 \\ \hline \end{array}

What is the joint relative frequency of "Male" and "Offline"? (2 decimal places)

  1. A

    −0.29-0.29

  2. B

    0.710.71

  3. C

    0.420.42

  4. D

    0.210.21

Question 3

Numerical answer

The table shows the number of people for each combination of gender and preferred mode of study.

Gender\Preferred mode of studyOnlineOfflineHybridMale11316Female391149\begin{array}{|l|c|c|c|}\hline \text{Gender} \backslash \text{Preferred mode of study} & \text{Online} & \text{Offline} & \text{Hybrid}\\ \hline \text{Male} & 11 & 31 & 6 \\ \text{Female} & 39 & 11 & 49 \\ \hline \end{array}

Among the people with gender "Male", what fraction have "Offline"? (2 decimal places)

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