← GCSE Mathematics

S4 Averages from data and frequency tables

Currently Secure · last touched 2026-10-09

Units present unprompted on 9 Oct (second time on an unlabelled mean). Range taken as the total's bounds; frequency x midpoint products not used; no labelled final line.

Every change

WhenChangeEvidenceSession
2026-10-09Secure → Secure9 Oct, calc, estimated mean (masses of 20 cats, four groups), units not mentioned in the instruction, 'write a rough range first' in the question: 5.3kg correct, units typed unprompted, all working typed (midpoints added one by one = 106, 106/20), 15 min. Range line written as bounds on the total (86 < m <= 126), not on the mean; first sum mistyped 48, 86 used after. No 'mean =' label. Paper not seen. Session 90. Retrieval outcome: correct.standalone
2026-10-07Secure → SecureExam practice 7 Oct (test #7, attempt #15, timed) Q9: reverse mean (five numbers mean 12, six mean 13), she wrote '13*6=78,12*5=60,78-60=18'; 3/3 in 2 min, working typed though the item did not ask for it. Not an estimated mean; no units in the item. Marking only: no status change. Retrieval outcome: correct.standalone
2026-10-02Secure → SecureMixed set Q4 unlabelled estimated mean, unaided: 19 correct. Paper (photo 09:58): 5×4, 15×7, 25×6, 35×3 by hand, sum 380, 380÷20 — all working unprompted. Typed answer bare '19'; no units, no range line, no labelled final line; '19 minutes' after '19 what?'.session 65
2026-09-29Secure → Secure29 Sep starter, calc, unlabelled estimated mean café 7/12/9/2 with 'rough range' on the block checklist → '34 minnutes': correct (1020/30), units present unprompted for the first time on an unlabelled mean; no midpoint lines, no range line.session 56
2026-09-28Secure → Secure28 Sep: unlabelled estimated mean café 8/14/6/2 → '31.333r' bare, correct, no lines, no units, no range (5th bare unlabelled ask). Labelled 'show your working, answer with units' parcels 12/15/9/4 → four product lines then 3.25, correct, NO units despite the ask.session 49
2026-09-25Secure → Secureaudit: bar re-confirmed in session 46 — unlabelled estimated mean 18.67 correct (accuracy holds); working/units loose end unchanged, watch standsstandalone
2026-09-25Secure → Secure25 Sep starter, calc, working and units not mentioned: estimated mean journey times 6/11/9/4 → '18.67' bare. Correct, but no midpoint lines, no units (minutes), no range — fourth bare unlabelled estimated mean.session 46
2026-09-24Secure → Secure24 Sep: median group from 5/12/8/5 table with running total 5+12=17 written first ✓ (closes Tuesday's cut line). Starter estimated mean, parcels 4/9/5/2 kg → '3.5' ✓ bare: no midpoint lines, no units, no sense-check.session 43
2026-09-22Developing → Secure22 Sep 4-question exit ticket, independent, 0 blanks, 4/4: mean of a list 10 with sum line; mean from frequency table 1.36 with all product lines; estimated mean from a fresh 4-group table 38.67 with midpoints chosen and every midpoint × frequency line written BEFORE the answer, unprompted, rounded unprompted; median group 20 < t ≤ 40 correct. Secure bar met. Units omitted on 38.67 (minutes); median group given bare, position/running total written only when asked.session 38
2026-09-21Developing → Developing21 Sep: estimated mean from a fresh 4-group table (freq 4/9/11/6) → 21.33 correct; answer given bare first, then full working on request: midpoints 5/15/25/35 chosen unprompted, products 20/135/275/210, 640÷30. No range stated, unrounded, no units. Practice: mean from frequency table 1.05 ✓ with working unasked; mode 7 and median 10.5 ✓. Exit ticket not run.session 34
2026-09-18Developing → Developing18 Sep independent 4-question check, calculator, 0 blanks: mean of a list 14 ✓ (answer only), mean from frequency table 1.6 ✓ (answer only), median group 20 < t ≤ 30 ✓. Estimated mean ✗ first time: used upper bounds ×frequency (770/30 = 25.67) and gave an interval 15 < t ≤ 25.67; produced the correct 20.67 immediately once asked what value stands in for a group, but never wrote the midpoint working.session 31
2026-09-15Developing → Developing15 Sep, guided step by step: rough range 12.5–22.5 given unprompted when asked; midpoints 4/4; midpoint × frequency products 4/4 (total 350); divided by total frequency 20 not 4 groups → 17.5 cm, passing her own range; median group between 10th/11th → 10 < h ≤ 20 correct first time, running total mis-added as 14 (answer unaffected). No independent question run — session stopped before the exit ticket.session 24
2026-09-14Gap → DevelopingTaught 12 Sep. Mean, median, mode and range from a list 3/4; mean and mode from a frequency table 3/3; median from a frequency table 3/3 including the single-position median and the range taken from values. Grouped-data midpoints 4/4, but the estimated mean itself came out as 2.67 cm for data spanning 0–40 cm and was not sense-checked. Median group never reached.session 23

In papers

AttemptPaperQMarksNote
Exam practice — week 41 — GCSE Mathematics sectionexam-skills #793/3M1 12 × 5 = 60. M1 13 × 6 = 78. A1 18. Working shown, 2 min against a 3 min guide.