In the ‘less than’ type of ogive the cumulative frequency is plotted against:
In the ‘less than’ type of ogive the cumulative frequency is plotted against:
The correct option is B the upper limit of the concerned class interval
Step 1: Definition of ogive curve:
An ogive chart is a curve obtained on the graph of a cumulative frequency distribution table or cumulative relative frequency distribution table. Plotting of an ogive curve requires the frequencies data expressed in terms of the percentage of the total frequencies obtained throughout the experiment or trial.
Step 2: Explanation for correct answer:
(b) When the cumulative frequency is plotted against the upper limit of any respective class interval, then it belongs to the ‘less than’ type of ogive type only.
Step 3: Explanation for incorrect answer:
(a) Cumulative frequency of the ogive type graph is plotted against the upper limit instead of the lower limit of the class interval.
(c) The mid value of the concerned class interval cannot be used to plot the cumulative frequency for the given data as it may give some different result than the desired one.
(d) Any random value cannot be used for plotting the graph to avoid the confusion while plotting and finding the value from it. Moreover the random coordinates may not provide a proper curve on the graph.
Hence, option (b) is correct.
the upper limit of the concerned class interval
Step 1: Definition of ogive curve:
An ogive chart is a curve obtained on the graph of a cumulative frequency distribution table or cumulative relative frequency distribution table. Plotting of an ogive curve requires the frequencies data expressed in terms of the percentage of the total frequencies obtained throughout the experiment or trial.
Step 2: Explanation for correct answer:
(b) When the cumulative frequency is plotted against the upper limit of any respective class interval, then it belongs to the ‘less than’ type of ogive type only.
Step 3: Explanation for incorrect answer:
(a) Cumulative frequency of the ogive type graph is plotted against the upper limit instead of the lower limit of the class interval.
(c) The mid value of the concerned class interval cannot be used to plot the cumulative frequency for the given data as it may give some different result than the desired one.
(d) Any random value cannot be used for plotting the graph to avoid the confusion while plotting and finding the value from it. Moreover the random coordinates may not provide a proper curve on the graph.
Hence, option (b) is correct.
