The heights of be
heights of boys and girls of IX class of a school are given below.
Height (cm) 135 140 147 152 155 160
Boys 2 5 12 10 7 1
Girls I 2 10 5 6 5
Compare the heights of the boys and girls
Hint: Find median heights of boys and girls
Answers
Answer:
147 cm is Median height of Boys
152 cm is Median height of Girls
Step-by-step explanation:
Height (cm) 135 140 147 152 155 160
Boys 2 5 12 10 7 1
Girls 1 2 10 5 6 5
Total number of boys = 2 + 5 + 12 + 10 + 7 + 1 = 37
Median height would be of 19th Boy
19th Boy 2 + 5 = 12 = 19
147 cm is Median height of Boys
Total Number of Girls - 1 + 2 + 10 + 5 + 6 + 5 = 29
Median Height would be of 15th Girl
15th Girl 1 + 2 + 10 = 13 13 + 5 = 18 ( 15 lie between 13 - 18)
=> 152 cm is Median height of Girls
Answer:
We have table in
https://school.gradeup.co/ex-9.2-q6-the-heights-of-boys-and-girls-of-ix-class-of-a-i-1nkg67
We shall find median of the heights of the boys and girls separately.
Median of heights of boys:
Nxi = 37
⇒
Cumulative frequency = 19 falls in the height of 147 cm.
Thus, median height of boys is 147 cm.
Now, median of heights of girls:
Nyi = 29
⇒
Cumulative frequency = 15 falls in the height of 18.
Cumulative frequency, 18 falls in the height of 152 cm.
∴ Median height of boys is 147 cm whereas median height of girls in the class is 152 cm
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