MAT FPX 2001 Assessment 3 Analyzing Data with Descriptive Statistics

Grace J.
September 30, 2026September 30, 2026
BS Psychology, MAT-FPX2001

Student Name

Capella University

MAT FPX 2001 Statistical Reasoning

Prof. Name

Date

Analyzing Data With Descriptive Statistics

Descriptive statistics help organizations understand survey responses by summarizing patterns such as frequencies, means, medians, modes, ranges, and standard deviations. In this workplace survey of 67 employees, the results indicate that learning opportunities, manager interaction, and ongoing feedback are present but relatively mixed across the organization. The findings also suggest that combining descriptive statistics with graphical analysis can help managers identify areas where workplace learning strategies may need improvement.

Survey Results on Workplace Learning

The survey included 67 employees working under managers, representing the entire population examined in the analysis. Four questions focused on learning activities, manager involvement, active learning opportunities, and feedback.

Alignment Between Learning Outcomes and Activities

For the first question, respondents were asked whether learning outcomes were aligned with learning activities provided by managers.

Yes: 34 respondents
No: 33 respondents
Total: 67 respondents

The results are almost evenly divided. Approximately 50.7% of respondents reported that learning outcomes were aligned with learning activities, while 49.3% reported that they were not. This small difference suggests that employees do not have a consistent experience regarding the alignment between workplace learning activities and expected learning outcomes.

For managers, these findings highlight the importance of connecting training activities with clearly defined learning outcomes. When employees understand how a learning activity contributes to a specific outcome, they may be better positioned to apply new knowledge and skills in the workplace.

Manager Interaction During Learning Sessions

The second question examined whether managers frequently interact with teams during learning sessions.

Yes: 33 respondents
No: 34 respondents
Total: 67 respondents

Approximately 49.3% of participants indicated that managers frequently interact with teams during learning sessions, compared with 50.7% who reported that they do not.

The nearly equal distribution indicates that manager participation in learning sessions is not experienced consistently by all employees. Regular manager involvement can provide opportunities for clarification, discussion, feedback, and reinforcement of learning objectives.

Opportunities for Active Learning

The third question asked whether there were no opportunities for active learning within the organization.

Yes: 28 respondents
No: 39 respondents
Total: 67 respondents

Because the question is negatively worded, the results require careful interpretation. Approximately 41.8% answered “Yes,” indicating that they perceived a lack of active learning opportunities, while 58.2% answered “No,” suggesting that they did not perceive the organization as lacking such opportunities.

Overall, more respondents reported that active learning opportunities were available. However, the proportion reporting limited opportunities remains substantial enough to warrant attention. Active learning can involve participation, practice, discussion, problem-solving, and other activities that allow employees to apply information rather than simply receive it.

Ongoing Feedback From Managers

The fourth question examined whether employees frequently receive ongoing feedback about learning from managers.

Yes: 36 respondents
No: 31 respondents
Total: 67 respondents

Approximately 53.7% of participants reported receiving ongoing learning feedback, whereas 46.3% reported that they did not.

The results show a modest difference between the two groups. Although more employees reported receiving feedback, nearly half of the participants indicated that ongoing feedback was not a regular part of their learning experience. This suggests that feedback practices could be strengthened to create a more consistent learning environment.

Descriptive Statistics for Question 5

The descriptive statistics for Question 5 provide several measures that summarize the distribution of the collected data.

Statistical Measure	Value
Maximum	10
Minimum	4
Range	6
Standard Deviation	1.898165
Mean	7.641791
Median	8
Mode	10

The mean of 7.64 indicates that the average observed score was relatively high within the scale used. The median of 8 means that half of the observations were at or below 8 and half were at or above 8. The mode of 10 indicates that 10 was the most frequently occurring value.

The range was 6, calculated by subtracting the minimum value of 4 from the maximum value of 10. The standard deviation of approximately 1.90 indicates the amount of variation around the mean. A standard deviation should be interpreted in relation to the measurement scale and the distribution of the observations rather than considered independently.

Descriptive Statistics for Question 6

The second set of descriptive statistics provides the following results:

Statistical Measure	Value
Maximum	81
Minimum	20
Range	61
Standard Deviation	12.69784
Mean	52.49254
Median	53
Mode	47

The mean score for Question 6 was approximately 52.49, while the median was 53. The relatively close mean and median suggest that the center of the distribution is located around the low-to-mid 50s, although these measures alone cannot establish whether the distribution is symmetric.

The range was 61, calculated from the maximum value of 81 and the minimum value of 20. The standard deviation was approximately 12.70, indicating greater numerical variation in these observations compared with the data summarized for Question 5.

Relationship Between Managerial Support and Learning Opportunities

Combining the results from Questions 5 and 6 provides a broader view of the relationship between managerial encouragement of learning and the availability of workplace learning opportunities. The graphical analysis can help identify where learning opportunities are concentrated and where they appear to be less common.

Based on the provided graphical interpretation, learning opportunities were observed less frequently in categories 7 and 8, while higher levels of learning opportunities were associated with groups reporting between 9 and 12 organizational outcomes.

However, descriptive statistics primarily summarize patterns in the collected data. They do not, by themselves, establish that managerial encouragement directly causes an increase in learning opportunities. Establishing a causal relationship would require additional statistical analysis and an appropriate research design.

Importance of Learning Opportunities in the Workplace

Ideally, employees should have meaningful access to workplace learning opportunities. Consistent access can support the development of knowledge and skills while helping employees understand how learning activities relate to organizational objectives.

Managers can support workplace learning by connecting training activities with job responsibilities, encouraging employee participation, providing useful feedback, and creating opportunities to apply newly acquired knowledge.

A consistent learning environment may also help organizations identify gaps between intended learning outcomes and employees’ actual experiences. Survey data can provide managers with useful evidence for determining where additional support or changes in learning strategies may be appropriate.

Interpreting Standard Deviation in Workplace Learning Data

Standard deviation is a descriptive statistic that measures the spread of observations around the mean. A smaller standard deviation generally indicates that observations are more closely grouped around the mean, while a larger standard deviation indicates greater variation.

In this analysis, Question 5 has a standard deviation of approximately 1.90, compared with approximately 12.70 for Question 6. Because the two questions use different numerical ranges, their standard deviations should not be compared as though they were measured on the same scale.

The mean, median, mode, range, and standard deviation should therefore be considered together when interpreting workplace learning data. Looking at these measures collectively provides a more complete understanding of the distribution than relying on one statistic alone.

Using Descriptive Statistics to Improve Workplace Learning

Descriptive statistics can help organizations evaluate employee survey data and identify patterns that may otherwise be difficult to recognize. In this case, the findings show relatively balanced responses concerning manager interaction and learning-outcome alignment, a majority reporting access to active learning opportunities, and a modest majority reporting ongoing feedback.

The results can help managers focus on several areas:

Improving alignment between learning activities and intended outcomes.
Increasing consistent manager participation in learning sessions.
Expanding opportunities for active learning.
Providing regular and meaningful feedback.
Using survey data to monitor workplace learning patterns over time.

Overall, the analysis demonstrates how descriptive statistics can transform employee survey responses into information that managers can use when evaluating workplace learning strategies. However, the results should be interpreted within the context of the 67-person population and the specific measures used in the survey.

Conclusion

The descriptive analysis of the 67 workplace respondents shows that employee experiences with learning activities and managerial support are mixed. While slightly more than half of respondents reported aligned learning outcomes, active learning opportunities, and ongoing feedback, the results also reveal substantial groups experiencing gaps in these areas.

The statistical measures from Questions 5 and 6 further summarize the distribution, including the mean, median, mode, range, and standard deviation. Together with graphical analysis, these measures provide a useful foundation for understanding workplace learning patterns. Managers can use such findings to identify areas for improvement, strengthen learning opportunities, and develop more consistent feedback and support practices.

References

American Psychological Association. (2020). Publication manual of the American Psychological Association (7th ed.). American Psychological Association. https://doi.org/10.1037/0000165-000

Illowsky, B., & Dean, S. (2018). Introductory statistics. OpenStax, Rice University. https://openstax.org/details/books/introductory-statistics