Mathematics - 0580 CIE

Averages And Range

Muhtasari

How do you sum up a whole list of numbers in one value? You use an average. The mean, median and mode are three different ways to find a typical value, each with its own strengths, and the range tells you how spread out the data is. Together they let you describe and compare data sets quickly and fairly.

In this lesson you will calculate the mean, median, mode and range of a list, and learn when each average is the right choice. At Extended level you will go further: quartiles and the interquartile range to measure spread, the modal class of grouped data, and an estimated mean when the exact values are hidden inside class intervals.

Malengo

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

Maelezo ya Somo

Averages are the most widely used numbers in everyday life: average temperature, average wage, average score, average house price. Knowing how each average is calculated, and which one suits a given situation, lets you summarise data honestly and spot when an average has been chosen to mislead. The range and quartiles then add the vital information of how spread out the data is.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Averages And Range. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  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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