Question

Which of the following is a false statement?
A. Median can be determined graphically
B. Mean can be determined from the graph
C. Mean cannot be determined by inspection.
D. Mode can be determined by graphically

Answer 1

Hint: We try to find the false statement. We find the measurements that can be done from the diagrammatic representation of different histograms and ogives. We also try to calculate the mean value just from the inputs themselves.

Complete step by step solution:
Here we are dealing with measures of central tendency. Mean, median, mode all three are parts of central tendency.
We try to find if they can be determined graphically.
Mode is the value with the maximum frequency. Thus, it can be determined from the graph.
Median is the middle value of the data. Thus, it can be determined from the graph.
Mean is the ratio of sum of all data values and the total number of values. Thus, it cannot be determined graphically.
Also calculating mean just by looking at the given inputs is not possible. We have to put the values in the formula to find the calculation.
Therefore, the false statement among the given four options is that Mean can be determined from the graph.

So, the correct answer is “Option B”.

Note: The purpose of the central tendency is to provide an exact representation of the entire collected data. It is often defined as the single value that is representative of the data. The mean is considered the best measure of central tendency to use if the data distribution is continuous and symmetrical.