Likert Scale Analyzer

This calculator turns five response counts — one per point on a 1-5 Likert scale — into a weighted Mean Score (line 55-56, each count multiplied by its scale value and divided by Total Responses), a Median Score found by walking the cumulative count until it passes the halfway point (lines 58-69), a Standard Deviation (lines 72-73), and Top-Box (Agree + Strongly Agree) and Bottom-Box (Strongly Disagree + Disagree) percentages (lines 76-77). At the defaults, Strongly Agree (5) has the largest effect on Mean Score, but not because it's weighted more heavily than the other four counts — every response contributes its scale value divided by Total Responses, the same formula for all five — and not because it sits furthest from the mean (3.58): Strongly Disagree (1) is actually further from the mean (|1−3.58|=2.58 versus |5−3.58|=1.42). Strongly Agree's outsized effect comes from its larger default count (50) against Strongly Disagree's smaller one (12) — nudging the same proportion off a bigger starting count moves more responses.

More generally: raising any response count whose scale value exceeds the current mean always raises Mean Score, and raising a count at the scale's lowest point (Strongly Disagree, value 1, which can never exceed any achievable mean on a 1-5 scale) always lowers it. Bottom-Box Pct responds most to Disagree (2) at the defaults, since it directly adds to the Bottom-Box numerator without contributing to Total Responses' growth at nearly the rate a larger count would. This calculator does not weight responses by respondent or account for non-response bias, and it treats the five scale points as evenly spaced numbers (1 through 5) for the Mean and Standard Deviation, even though Likert response categories are technically ordinal rather than interval data.