Answers:
a) Please refer to the pictures below
b) No.
Step-by-step explanation:
Hi,
A histogram is similar to a bar chart, but the histogram groups numbers into ranges.
The following data can be inferred for the weights:
Range = Highest Value - Lowest Value
= 69 - 36
= 33
Number of classes = 8
[tex]Class\ width = \frac{Range}{Number\ of\ classes}\\= \frac{33}{8}\\= 4.125[/tex]
However, once we build the data with this width, some of our values will be left out. So we slightly change the highest and lowest value to help include all our values in this range.
Approximate highest value = 71
Approximate lowest value = 35
New range = 71 - 35
=36
[tex]New\ Class\ width = \frac{36}{8}\\= 4.5[/tex]
Using this, we build our frequency table:
The first value is 35, we add 4.5 to it = 39.5
Next we add 4.5 to 39.5 = 44.0
This goes on till we have all our classes:
35.0 - 39.5
39.5 - 44.0
44.0 - 48.5
48.5 - 53.0
53.0 - 57.5
57.5 - 62.0
62.0 - 66.5
66.5 - 71.0
With respect to each of this class width we find the number of values that lie in these intervals, hence the frequency.
The final table looks as shown in the picture below.
To construct a histogram, simply plot the class intervals (on x-axis) against the frequency (on y-axis). The histogram will looks as shown in the picture below.
b)
If you look at the table closely, you will see that the frequency in the more inclined towards the left side. Hence, we say that the distribution is left-skewed.
Furthermore, it can be inferred that the mean and all central values will lie more towards the left side of the graph.
Their claim that their metal rings weighs about 50 ounces can be seen as invalid since all the central values are left-skewed.
