Learn Before
Explain how the researcher calculates the range for this dataset, and describe what this calculated value represents regarding the spread of scores in the distribution.
Case context: A psychology researcher is analyzing a distribution of self-esteem scores from a pilot study. The highest score recorded in the sample is and the lowest score is . The researcher decides to compute the range to describe the variability of the self-esteem scores.
Question: Explain how the researcher calculates the range for this dataset, and describe what this calculated value represents regarding the spread of scores in the distribution.
Sample answer: The researcher calculates the range by subtracting the lowest score () from the highest score (), resulting in a value of . This value of represents the overall spread or the size of the interval between the two most extreme scores in the self-esteem distribution.
Key points:
- The range is calculated by subtracting the lowest score from the highest score.
- For this dataset, the calculation is .
- The value indicates the total spread or distance between the two extreme scores in the distribution.
- The range focuses exclusively on the highest and lowest scores to describe variability.
Rubric: The response must explain that the range is calculated by subtracting the lowest score from the highest score (specifically ) and clearly explain that the range of represents the total span or width between the extreme high and low scores in the distribution.
0
1
Tags
KPU
Research Methods in Psychology - 4th American Edition @ KPU
Related
If the highest score in a distribution is 24 and the lowest score is 15, what is the calculated range?
In the example provided for calculating the range ($24 - 15 = 9$$), match each value to its specific role in the statistical process.
In a psychology study where the highest score is and the lowest score is , the range will remain exactly even if a researcher adds new scores to the distribution that fall between and .
A researcher studying psychology test scores claims that the range of a specific distribution is exactly . Given a dataset where the highest score is and the lowest score is , arrange the following steps in the logical order required to evaluate the validity of the researcher's claim.
According to the example provided, the range of a distribution is calculated by subtracting the lowest score from the highest score.
In a psychology study where the highest score is and the lowest score is , a researcher calculates the range as . Which of the following statements best explains what this value of represents in the context of the distribution?
A researcher measuring response times (in seconds) records the following five values: 4, 9, 12, 18, and 25. Using the formula range = highest score − lowest score, the range of this distribution is _____.
A researcher collects data from four separate psychology studies. Match each dataset to its correctly calculated range.
A researcher records five stress scores: , and . After reviewing the data, the researcher discovers that the score of was a data-entry error; the actual score was . After correcting the error, the range of the dataset changes from to _____.
A student reports that the range of a set of anxiety scores is and argues this accurately describes the spread of the data. A skeptical reviewer suggests the high range may be driven by a single outlier. Order the following steps a researcher should perform to evaluate this claim.
Based on the provided text, state the rule or definition for calculating the range of a distribution and show how to calculate it using the example values where the highest score is and the lowest score is .
Explain how the researcher calculates the range for this dataset, and describe what this calculated value represents regarding the spread of scores in the distribution.
A clinical psychologist measures the reaction times of participants in a study. The highest score in the dataset is milliseconds and the lowest score is milliseconds. Apply the range formula to calculate the range of this dataset and write down the subtraction equation.