Question

During the medical check-up of 35 students of a class their weights were recorded as follows:Weight (in kg)38 − 40 40 − 42 42 − 44 44 − 46 46 − 48 48 − 50 50 − 52 Number of students32451443Draw a more than type and a more than type ogive from the given data. Hence obtain the median weight from the graph

Answer 1

Answer:

Median is equal to 46.5 kg

Step-by-step explanation:

Since the number of students is 35, we have:

∑$x_{i}$ = 35

Median is the value that separates the biggest half and the smallest half of a sample, population or distribution of probability.

Then, looking to the graph bellow we can check that the value of wieght which corresponds to 17.5 is 46.5 kg, i.e,

n = 35 ⇒ $\frac{n}{2} = \frac{35}{2} = 17.5$ ⇒ Median = 46.5

Hence the value of median is equal to 46.5 kg

Answer 2

Given :  medical check-up of 35 students of a class

their weights were recorded

To Find : Draw a less than type and a more than type ogive from the given data. Hence obtain the median weight from the graph

Solution:

Weight (in kg)    f           Less  than        More than

38 − 40              3               3                     35

40 − 42              2                5                    32

42 − 44              4                9                    30

44 − 46               5              14                   26

46 − 48               14             28                  21

48 − 50               4              32                     7        

50 − 52               3               35                   3

Median is 46.5 kg  from graph

from formula :

46 +  2 * (17.5 - 14)/14

= 46 + 0.5

= 46.5

Less than ogive

The points with the upper limits of the class are plotted on x axis  and the corresponding less than cumulative frequencies on y axis.

The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive

More than ogive

The points with the Lower limits of the class are plotted on x axis  and the corresponding more than cumulative frequencies on y axis.

The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive

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