Averages And Range
Gbogbo ọrọ náà
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.
Ebumnobi
- Calculate the mean, median, mode and range for individual data and distinguish between the purposes for which these are used.
- 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)
- Calculate an estimate of the mean for grouped discrete or grouped continuous data. (Extended only)
- Identify the modal class from a grouped frequency distribution. (Extended only)
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Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
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Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Averages And Range. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- Find the mean of 4, 7, 7, 9, 13. A. 7 B. 8 C. 9 D. 40 Answer: B
- Find the median of 4, 7, 7, 9, 13. A. 4 B. 7 C. 8 D. 9 Answer: B
- Find the range of 4, 7, 7, 9, 13. A. 4 B. 7 C. 9 D. 13 Answer: C
- 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
- 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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Akụkụ akwụkwọ
Measures of the Center of the Data
The "center" of a data set is also a way of describing location. The two most widely used measures of the "center" of the data are the mean (average) and the median . To calculate the mean weight of 50 people, add the 50 weights together and divide by 50. To find the median weight of the 50 people,
"Introductory Statistics: Measures of the Center of the Data" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/2-5-measures-of-the-center-of-the-data. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
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Measures of the Location of the Data
The common measures of location are quartiles and percentiles Quartiles are special percentiles. The first quartile, Q 1 , is the same as the 25 th percentile, and the third quartile, Q 3 , is the same as the 75 th percentile. The median, M , is called both the second quartile and the 50 th percenti
"Introductory Statistics: Measures of the Location of the Data" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/2-3-measures-of-the-location-of-the-data. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
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