SHOW ALL OF YOUR WORK STEP BY STEP WITH SET UP USING FORMULA FOR EACH EXAMPLE. W
ID: 3069839 • Letter: S
Question
SHOW ALL OF YOUR WORK STEP BY STEP WITH SET UP USING FORMULA FOR EACH EXAMPLE. WRITE VERY CLEARLY AND NEATLY.
Provide an appropriate response.
1) Explain in your own words why a bar graph can be misleading if one or both of the scales begin at some value other than zero.
Use the data to create a stemplot.
2) The weights of 22 members of the varsity football team are listed below.
144 152 142 151 160 152 131 164 141 153 140
144 175 156 147 133 172 159 135 159 148 171
Provide an appropriate response.
3) Consider the frequency distribution below, which has single values as classes:
Describe the distribution of the data. Use this frequency distribution to create two new frequency distributions for the data, one with four classes of equal width and one with six classes of equal width. Does the frequency distribution with four classes capture the distribution of the data? Does the frequency distribution with six classes capture the distribution of the data? Explain your thinking.
4) Describe at least two advantages to using stemplots rather than frequency distributions.
Explanation / Answer
2. The summary of the data;
1st Qu. Median Mean 3rd Qu. Max.
131.0 142.5 151.5 151.3 159.0 175.0
Shapiro-Wilk normality test
data: x
W = 0.97047, p-value = 0.7219
here the p vaue is 0.7219 . so the data follows normal distribution.
3. The data doesnot follow normal distribution.
Shapiro-Wilk normality test
data: x
W = 0.91881, p-value = 4.607e-05
Here p value is less than 0.05.
the frequency distribution of the data divided in 4 classes remain almost same as the main distribution.
the frequency distribution of the data divided in 6 classes also remain same as the main distribution.
Here the data remains same for different divisions, so that the distribution has to be same for devions . the main data wont get changed for this divisions.
4. The shape of a distribution can readily be seen. The plot can be drawn quicker, since class width need not be calculated.
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