Mathematics - International - 0607 CIE

Averages And Range

Bayani Gaba-gaba

An average sums up a whole set of data in a single typical value, and a measure of spread tells you how widely the data is scattered around it. Together they turn a long list of numbers into a clear, comparable summary, which is exactly what statistics is for.

In this lesson you will calculate the mean, median, mode, quartiles, range and interquartile range for a list of data, and learn what each is good for. At Extended level you will estimate the mean of grouped data and identify the modal class, the tools needed when the raw values are hidden inside intervals.

Manufura

  1. Calculate the mean, median, mode, quartiles, range and interquartile range for individual data and distinguish between the purposes for which these are used.
  2. Calculate an estimate of the mean for grouped discrete or grouped continuous data. (Extended only)
  3. Identify the modal class from a grouped frequency distribution. (Extended only)

Darasin Sauti

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Taswirar tunani

An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.

Bude taswirar tunani a cikin manhaja

Katunan tunawa

Gwaji mai sauri kan abin da ake jarraba a wannan batu.

Yi atisayen wadannan katuna a cikin manhaja

Takardar Darasi

Averages are everywhere: average wages, average rainfall, average exam marks. But an average alone can mislead, which is why a measure of spread matters too. Knowing which average to use, and reporting the spread alongside it, lets you summarise data honestly and compare different groups fairly, a skill at the heart of all data handling.

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Nazarin Darasi

Barka da kammala darasi akan Averages And Range. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. Find the mean of 4, 7, 7, 9, 13. A. 7 B. 8 C. 9 D. 40 Answer: B
  2. Find the median of 4, 7, 7, 9, 13. A. 4 B. 7 C. 8 D. 9 Answer: B
  3. Find the range of 4, 7, 7, 9, 13. A. 4 B. 7 C. 9 D. 13 Answer: C
  4. For the ordered data 3, 5, 6, 8, 9, 11, 14, what is the interquartile range? A. 3 B. 5 C. 6 D. 11 Answer: C
  5. For grouped data with classes 0<=t<10 (f=4), 10<=t<20 (f=10), 20<=t<30 (f=6), what is the modal class? A. 0 <= t < 10 B. 10 <= t < 20 C. 20 <= t < 30 D. all equal Answer: B

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Yi aikin wadannan tambayoyi a cikin manhaja

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