Height of a Family

Transcript

Height of a Family The heights of the family members of Yaangba and Poovizhi are as follows: Yaangba’s family: 169 cm, 173 cm, 155 cm, 165 cm, 160 cm, 164 cm. Poovizhi’s family: 170 cm, 173 cm, 165 cm, 118 cm, 175 cm. Find the average height of each family. Can we say that Yaangba’s family is taller than Poovizhi’s family? From the figure it seems like Poovizi’s family is taller Let’s find Average Height for each family Yaangba’s family Average height = (169+173+155+165+160+64)/6 = 986/6 = 164.3 cm Poovizhi’s family Average height = (170+173+165+118+175)/5 = 801/5 = 160.2 cm Thus, we can say that The average height of Poovizhi’s family (160.2 cm) is less than that of Yaangba’s family (164.3 cm). But, most members in Poovizhi’s family are taller, their family’s average height is less because one child is much younger and not as tall (118 cm) as the rest of the family. Let’s represent this using a dot diagram We notice that the outlier 118 cm pulls average down. Therefore, we use a new representative value - Median