Question

3.12 The table below shows the frequency distribution of the weights (in grams) of pre-1964 quarters. Choose the correct histogram below O A. Weight (g) Frequency 6.000-6.049 6.050-6.099 6.100-6.149 6.150-6.199 6.200-6.249 6.250-6.299 6.300-6.349 6.350-6.399 6.1 6.2 6.3 6.4 12 Weight igrams) в. Use the frequency distribution to construct a histogram. Does the histogram appear to depict data that have a normal distribution? Why or why not? 62 63 6.4 Weight grama) Weight gms)

Answer 1

Solution :

Given data :

Weights (g)	Frequency ( F)
6.000-6.049	3
6.050-6.099	3
6.100-6.149	8
6.150-6.199	11
6.200-6.249	12
6.250-6.299	4
6.300-6.349	5
6.350-6.399	1

Now we have to find out the :

Construct an histogram :

By using the frequency distribution,we can construct the histogram

But in the question they already gives options

By comparing frequency values we can say that the correct histogram is " option C "

Now we find out the :

Does the histogram appear to depict data have a normal distribution why or why not :

By using the Relative Frequency values we can draw the Relative Frequency curve

Weights (g)	Frequency (F)	Relative Frequency = Frequency /Total frequency	Relative Frequency
6.000-6.049	3	3/45	0.066
6.050-6.099	3	3/45	0.066
6.100-6.149	8	8/45	0.177
6.150-6.199	11	11/45	0.244
6.200-6.249	12	12/45	0.266
6.250-6.299	4	4/45	0.088
6.300-6.349	5	5/45	0.111
6.350-6.399	1	1/45	0.022

Now, we can draw the Relative Frequency curve

I can say that the histogram appear to depict data have a normal distribution

Because ,

we can see that the bend isn't symmetric; i.e.skewed. thus the histogram does not seem to portray information that have an "ordinary appropriation ".