Mini-Research Study Scenario Questions

A school principal wants to conduct a mini-research study to examine the relationship between the amount of time students spend studying and their final exam scores. The principal collects data from 30 students on the following variables: • The number of hours each student studies per week for the exam. • Each student’s final exam score (out of 100). The principal hypothesizes that students who spend more time studying are likely to achieve higher exam scores. At what point does the principal start gathering data for the mini-research?

• During the interpretation of data

• Prior to the approval of the proposal

• After the data is presented in a table

• After the research proposal is approved

For item numbers 31-40, use the given scenario. A school principal wants to conduct a mini-research study to examine the relationship between the amount of time students spend studying and their final exam scores. The principal collects data from 30 students on the following variables: • The number of hours each student studies per week for the exam. • Each student’s final exam score (out of 100). The principal hypothesizes that students who spend more time studying are likely to achieve higher exam scores. What should the principal do in the final step of conducting the mini-research?

• Gather information needed for research

• Draw conclusions from the analyzed data

• Present organize data using the tabular or graphical representations

• Extract relevant information from the given data to form numerical descriptions

A school principal wants to conduct a mini-research study to examine the relationship between the amount of time students spend studying and their final exam scores. The principal collects data from 30 students on the following variables: • The number of hours each student studies per week for the exam. • Each student’s final exam score (out of 100). The principal hypothesizes that students who spend more time studying are likely to achieve higher exam scores. Based on the steps for conducting a statistical mini-research, what is the correct order the principal should follow?

I.         Presenting data

II.        Interpreting data

III.      Analyzing data

IV.      Collecting data

V.       Organizing data

• I, II, III, IV, V

• II, IV, III, I, V

• IV, V, I, III, II

• IV, V, III, I, II

For item numbers 31-40, use the given scenario. A school principal wants to conduct a mini-research study to examine the relationship between the amount of time students spend studying and their final exam scores. The principal collects data from 30 students on the following variables: • The number of hours each student studies per week for the exam. • Each student’s final exam score (out of 100). The principal hypothesizes that students who spend more time studying are likely to achieve higher exam scores. To find the median exam score of the 30 students, what should the principal do first?

• Calculate the range of the exam scores.

• Find the highest and lowest exam scores.

• Add all the exam scores and divide by 30.

• Arrange the exam scores in ascending order.

For item numbers 31-40, use the given scenario. A school principal wants to conduct a mini-research study to examine the relationship between the amount of time students spend studying and their final exam scores. The principal collects data from 30 students on the following variables: • The number of hours each student studies per week for the exam. • Each student’s final exam score (out of 100). The principal hypothesizes that students who spend more time studying are likely to achieve higher exam scores. To calculate the mean study hours of the 30 students, what steps should the principal take?

• Add all the study hours and divide by 30.

• Subtract the lowest study hours from the highest.

• Identify the most frequently occurring study hours.

• Arrange the study hours and find the middle value.

To determine the percentile rank of a student who scored 85 on the exam, the principal should:

• Count the number of students who scored below 85 and divide by the total number of students, then multiply by 100.

• Calculate the average score of all students.

• Find the highest score and compare it to 85.

• Subtract 85 from the lowest score.

To examine the relationship between students’ study hours and exam scores, which statistical tool should the principal use?

• Frequency table

• Histogram

• Pie chart

• Scatter plot

After calculating the mean study hours and mean exam scores, the principal observes a notable difference between the two. What might this indicate about the data?

• The study hours and exam scores are not strongly related.

• The students who study more are not performing well on the exam.

• All students have a similar study routine, but their exam scores vary greatly.

• There may be an outlier in either the study hours or exam scores that is skewing the data.

The principal notices that while exam scores generally increase with more study hours, some students who study a lot still score low. What could this imply?

• There is a weak positive correlation between study hours and exam scores.

• There are other factors affecting exam performance besides study hours.

• The relationship between study hours and exam scores is causal.

• Study hours are the only factor influencing exam performance.

To make sure her recommendation for study hours isn’t affected by outliers or extreme values, what should the principal do?

• Rely solely on the highest score and study hours.

• Ignore any data points that do not follow the expected trend.

• Use the median instead of the mean to summarize study hours.

• Calculate the range of the study hours and base the recommendation on that.