The distribution of the masses of a group of persons is shown in the following table Mass/kg 10.5 - 14.4 14.5 - 24.4 24.5 - 44.4 44.5 - 47.4 47.5 - 49.4 Num...

Answer Details

To draw a histogram for this distribution, we need to first identify the range of each class interval and its corresponding frequency.

In this case, the class intervals are:

• 10.5 kg to 14.4 kg
• 14.5 kg to 24.4 kg
• 24.5 kg to 44.4 kg
• 44.5 kg to 47.4 kg
• 47.5 kg to 49.4 kg

And their corresponding frequencies are:

• 2
• 6
• 18
• 2
• 1

To draw the histogram, we need to represent the class intervals on the x-axis and the frequencies on the y-axis. The width of each bar should correspond to the range of the class interval, and the height should correspond to the frequency.

So, we can draw the histogram as follows:

       Frequency
        |     x
        |     x                 x
        |     x        x        x
        |     x                 x
        |     x           x
        |____________________________
           10.5-14.4  14.5-24.4  24.5-44.4  44.5-47.4  47.5-49.4

In this histogram, we can see that the class intervals are represented on the x-axis, and the frequencies are represented on the y-axis. The width of each bar corresponds to the range of the class interval, and the height corresponds to the frequency.

The bars are separated by a small gap to indicate that the classes are distinct. The histogram gives us a visual representation of the distribution of the masses of the group of persons. We can see that the majority of the group falls within the range of 24.5 kg to 44.4 kg.