State Assessments and Worked Statistical Measures
Key Takeaways
STAAR remains for 2026–27; TEA plans the SST transition for 2027–28 under HB 8.
Mean, median, mode, range, and percentages answer different questions about a dataset.
A class average does not identify an individual misconception or establish why performance changed.
Current Assessment Context
Assessment evidence supports planning when the teacher understands what was measured and how the result was produced. Texas content assessments connect to the TEKS; language-proficiency assessment has a different purpose. TELPAS measures English-language proficiency, not whether a student has mastered every subject standard. Use the appropriate score interpretation, testing conditions, and student work when deciding what to teach next. A low score can reflect several needs and cannot by itself diagnose a disability or prove ineffective teaching.
As checked October 7, 2026, TEA states that 2026–27 is the final STAAR year before the planned Student Success Tool (SST) transition in 2027–28 under HB 8. The planned system includes beginning- and middle-of-year assessments and an end-of-year component. Teachers must follow current administration instructions rather than assume that every announced future design is already operational. STAAR interim assessments remain optional in 2026–27 and do not contribute to accountability. TELPAS has a separate ELPS-related transition timeline, explained in the language section.
Sources: TEA HB 8 update and STAAR interim guidance.
Mean, Median, Mode, and Range
Consider these fictional scores out of ten on an aligned classroom check: 4, 6, 6, 8, 9, 9. State the scale and number of observations before calculating. The mean is the sum divided by the number of observations: (4 + 6 + 6 + 8 + 9 + 9) / 6 = 42 / 6 = 7. It summarizes the distribution, but it is sensitive to unusually high or low observations. It does not mean every student earned seven or that all students made the same errors.
The median is the middle value after sorting. For an even number of observations, average the two middle values. Here the middle values are six and eight, so the median is (6 + 8) / 2 = 7. With an odd number, use the single middle observation. A teacher who selects the fourth value without considering the even count would incorrectly report eight. Sorting and counting are essential first steps.
The mode is the most frequent value. Six and nine each occur twice, so this dataset has two modes: 6 and 9. Do not choose the largest score merely because it is largest. A dataset can have one mode, several equally frequent modes, or no uniquely informative mode. The range is the maximum minus the minimum: 9 − 4 = 5. It describes spread, not the number of students, the average, or the difference between the two middle scores.
| Measure | Calculation for this dataset | What it tells the teacher |
|---|---|---|
| Mean | 42 / 6 = 7 | Average points across observations |
| Median | (6 + 8) / 2 = 7 | Center of the ordered observations |
| Mode | 6 and 9 | Most frequent observed scores |
| Range | 9 − 4 = 5 | Distance between highest and lowest |
Percentages and Denominators
Suppose four of six students meet a locally selected criterion on that check. The proportion is 4 / 6 and the percentage is (4 / 6) × 100 = 66.7%, rounded to one decimal place. Specify the denominator: students assessed, items attempted, or another defined population. Sixteen of twenty assessed students is 80%; sixteen of twenty-five enrolled students is 64%. These answer different questions if five students were absent. Report missing data rather than silently treating absence as a demonstrated misconception.
If a class meeting-criterion rate changes from 60% to 75%, the increase is 15 percentage points. The relative increase is 15 / 60 × 100 = 25%. A percentage-point change is not the same as a relative percentage change. Neither proves that one instructional method caused the improvement; consider differences in students, content, conditions, and assessment difficulty.
Scaled state scores are not ordinary percentages correct. Use the official performance categories, reporting definitions, and appropriate comparisons. A percentile rank indicates relative standing in a specified comparison group, not the percentage of questions answered correctly. Do not average incompatible score scales or interpret a score from one grade/test as directly interchangeable with another without an appropriate basis.
From Numbers to Instruction
Connect results to the actual expectations assessed. A class average of seven could hide a shared prerequisite error, several different errors, or generally sound reasoning with one difficult item. Review student work, item demands, and distractor patterns. Confirm an apparent misconception with another suitable task before forming a permanent label. Small subgroup comparisons require particular care: a few observations are unstable and can make students identifiable.
Use the findings to select an action: reteach a concept with a clearer model, practice a missing step, provide a targeted language scaffold, or extend learning for ready students. Set an appropriate follow-up check that assesses the same intended skill with a new task. Document who received what instruction and whether performance improved. Statistics organize evidence; professional interpretation links that evidence to learning without treating a calculation as a diagnosis or a causal experiment.
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