Mathematics · 2nd preparatory · First Term

Statistics — Measures of Central Tendency of the Frequency Table with Intervals

About this lesson

This unit teaches students how to estimate the measurements of central tendency—arithmetic mean, median, and mode—for a frequency table with intervals. It begins with learning outcomes and a 'Get Ready' activity using a table of student heights. The unit explains the formula for the arithmetic mean using interval centers, demonstrates how to find the median from an ascending cumulative frequency curve or table, and shows how to estimate the mode from a histogram. Worked examples include car speeds, basketball points, patient counts, and mobile phone usage times. Practice exercises and a unit assessment ask students to compute these measures, draw graphs, and interpret data from real-life contexts such as plant heights, orange weights, electricity consumption, and battery lifespans. By the end, students should be able to read and interpret frequency tables and graphs, and calculate the mean, median, and mode for grouped data.

Main topics in this lesson

  • Arithmetic mean of a frequency distribution with intervals
  • Median of a frequency distribution with intervals
  • Mode of a frequency distribution with intervals
  • Ascending cumulative frequency curve and table
  • Histogram for estimating mode
  • Reading and interpreting frequency tables and graphs

Key terms and vocabulary

  • arithmetic mean
  • median
  • mode
  • frequency table with intervals
  • interval center
  • ascending cumulative frequency
  • modal interval
  • histogram

Questions and answers on Statistics — Measures of Central Tendency of the Frequency Table with Intervals - practice and revision

Multiple choice questions on this lesson in Mathematics for 2nd preparatory, First Term, with practice exercises for revision and exam preparation.

1

في جدول تكراري بفئات، الفئة (20 - 30) تكرارها 5، والفئة (30 - 40) تكرارها 12، والفئة (40 - 50) تكرارها 7، فإن الفئة المنوالية هي:

  • 1 (30 - 40)
  • 2 (20 - 30)
  • 3 (40 - 50)
  • 4 (10 - 20)
2

في جدول تكراري بفئات، الفئة (0 - 5) تكرارها 4، والفئة (5 - 10) تكرارها 6، والفئة (10 - 15) تكرارها 8، فإن التكرار التراكمي الصاعد للفئة (10 - 15) يساوي:

  • 1 18
  • 2 8
  • 3 14
  • 4 10
3

إذا كانت الفئة (50 - 60) هي الفئة الوسيطة، فإن الوسيط يساوي:

  • 1 55
  • 2 50
  • 3 60
  • 4 110
4

في جدول تكراري بفئات، الفئة (30 - 40) تكرارها 6، والفئة (40 - 50) تكرارها 9، فإن الفئة ذات التكرار الأكبر هي:

  • 1 (40 - 50)
  • 2 (30 - 40)
  • 3 (20 - 30)
  • 4 (50 - 60)
5

إذا كان مجموع (مركز الفئة × التكرار) = 720، ومجموع التكرارات = 60، فإن الوسط الحسابي يساوي:

  • 1 12
  • 2 15
  • 3 10
  • 4 18
6

في جدول تكراري بفئات، الفئة (0 - 10) تكرارها 3، والفئة (10 - 20) تكرارها 7، والفئة (20 - 30) تكرارها 10، فإن التكرار التراكمي الصاعد للفئة (20 - 30) يساوي:

  • 1 20
  • 2 10
  • 3 17
  • 4 3

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