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Worked Examples · Example 4
Q.

Following bivariate data depicts age and average height of a group of babies and kids:

Age (in months)3691224364860
Height (in cms)58646874818995102

(Other examples of bivariate data are the distance-time graph, inflation-unemployment graph, caloric-intake-versus-weight graph, which compare two variables.) Explain why the age-height data above is bivariate data.

Sikkim CbseNCERTSubjective· 3mImportance★★★★★est
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Age and Height are two variables recorded together for each child, so this is bivariate data.

[!FORMULA] Bivariate data — data in which the values of exactly TWO variables are observed jointly on the same unit, typically written and studied as ordered pairs (x,y)(x,y).

  1. Identify the variables: Age (in months) and Height (in cm).
  2. Tabulate the given pairs:
Age (months)3691224364860
Height (cm)58646874818995102
  1. Check the structure: each column is an ordered pair (Age,Height)(\text{Age}, \text{Height}) recorded for the same group of babies/kids — e.g. (3,58)(3, 58), (6,64)(6, 64), ..., (60,102)(60, 102) — exactly two variables per observation. …

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