Statistics · 3rd secondary · First Term

Advanced Measurements in Statistics — Stem-and-leaf data representation

About this lesson

This unit teaches students how to represent and compare data using stem-and-leaf plots. It begins with single stem-and-leaf representations for integer data, explaining how to identify stems and leaves, arrange leaves in ascending order, and create a key. Examples include basketball scores and student marks, with tasks to find the largest value, count values above a threshold, and calculate the median. The unit then extends to decimal data, such as cycling race times and chick weights, where the stem represents the integer part and leaves the decimal part. Finally, it introduces double stem-and-leaf plots for comparing two related datasets, like maximum and minimum temperatures, and discusses dispersion by comparing ranges. Exercises reinforce skills in constructing plots, reading original data from plots, and choosing correct answers based on plots.

Main topics in this lesson

  • Stem-and-leaf data representation
  • Double stem-and-leaf representation
  • Comparing datasets using stem-and-leaf plots
  • Calculating median and mode from stem-and-leaf plots
  • Understanding dispersion through range

Key terms and vocabulary

  • Stem
  • Leaves
  • Key
  • Ascending order
  • Median
  • Mode
  • Range
  • Dispersion
  • Double representation

Questions and answers on Advanced Measurements in Statistics — Stem-and-leaf data representation - practice and revision

Multiple choice questions on this lesson in Statistics for 3rd secondary, First Term, with practice exercises for revision and exam preparation.

1

في تمثيل ساق وورقة لبيانات عشرية: 2 | 3 5 7 ، 3 | 1 4 ، ما أصغر قيمة في هذه البيانات؟

  • 1 2.3
  • 2 2.5
  • 3 3.1
  • 4 2.7
2

في تمثيل ساق وورقة لبيانات: 6 | 2 5 8 ، 7 | 0 3 6 9 ، ما عدد القيم الأقل من 70؟

  • 1 3
  • 2 4
  • 3 2
  • 4 5
3

في تمثيل ساق وورقة مزدوج لمقارنة مجموعتين، إذا كانت المجموعة الأولى مداها 10 والثانية مداها 6، أي العبارتين صحيح؟

  • 1 المجموعة الأولى أكثر تشتتاً
  • 2 المجموعة الثانية أكثر تشتتاً
  • 3 التشتت متساوٍ
  • 4 لا يمكن الحكم
4

في تمثيل ساق وورقة لبيانات: 2 | 0 3 5 ، 3 | 1 4 7 9 ، ما مدى هذه البيانات؟

  • 1 19
  • 2 17
  • 3 20
  • 4 15
5

في تمثيل ساق وورقة لبيانات: 3 | 2 4 4 6 ، 4 | 1 4 4 8 ، ما المنوال لهذه البيانات؟

  • 1 44
  • 2 34
  • 3 41
  • 4 48
6

في تمثيل ساق وورقة لبيانات: 7 | 1 3 5 7 9 ، 8 | 2 4 6 ، ما الوسيط لهذه البيانات؟

  • 1 77
  • 2 75
  • 3 79
  • 4 82

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