Draw a rough sketch for less than cumulative frequency curve.
Answers
Step-by-step explanation:
BODY MASS INDEX NO.OF PERSON UPPER LIMIT LESS THAN CUMULATIVE FREQUENCY
18−19 5 19 5
19−20 12 20 17
20−21 18 21 35
21−22 25 22 60
22−23 16 23 76
23−24 4 24 80
Maximum cumulative frequency=80
∴ Median=
2
80
=40
Value at x axis at y=40 is 21.04
solution
Answer:
What is Cumulative Frequency?
The frequency is the number of times an event occurs within a given scenario. Cumulative frequency is defined as the running total of frequencies. It is the sum of all the previous frequencies up to the current point. It is easily understandable through a Cumulative Frequency Table.
Marks Frequency
(No. of Students)
Cumulative Frequency
0 – 5 2 2
5 – 10 10 12
10 – 15 5 17
15 – 20 5 22
Cumulative Frequency is an important tool in Statistics to tabulate data in an organized manner. Whenever you wish to find out the popularity of a certain type of data, or the likelihood that a given event will fall within certain frequency distribution, a cumulative frequency table can be most useful. Say, for example, the Census department has collected data and wants to find out all residents in the city aged below 45. In this given case, a cumulative frequency table will be helpful.
A curve that represents the cumulative frequency distribution of grouped data on a graph is called a Cumulative Frequency Curve or an Ogive. Representing cumulative frequency data on a graph is the most efficient way to understand the data and derive results.
Learn more about Frequency Polygon here.
There are two types of Cumulative Frequency Curves (or Ogives) :
More than type Cumulative Frequency Curve
Less than type Cumulative Frequency Curve
More Than Type Cumulative Frequency Curve
Here we use the lower limit of the classes to plot the curve.
How to plot a More than type Ogive:
In the graph, put the lower limit on the x-axis
Mark the cumulative frequency on the y-axis.
Plot the points (x,y) using lower limits (x) and their corresponding Cumulative frequency (y)
Join the points by a smooth freehand curve. It looks like an upside down S.
Learn more about Bar Graphs and Histogram here in detail.
Less Than Type Cumulative Frequency Curve
Here we use the upper limit of the classes to plot the curve.
How to plot a Less than type Ogive:
In the graph, put the upper limit on the x-axis
Mark the cumulative frequency on the y-axis.
Plot the points (x,y) using upper limits (x) and their corresponding Cumulative frequency (y)
Join the points by a smooth freehand curve. It looks like an elongated S.
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