Question 1

When is the standard deviation of a data set smaller than its variance? Explain.

Accepted Answer

The answer of When is the standard deviation of a...

Question 2

Data from three samples are shown below: $$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Sample A: } & 17 & 22 & 20 & 18 & 23 \
\hline \text { Sample B: } & 30 & 28 & 35 & 40 & 25 \
\hline \text { Sample C: } & 44 & 39 & 54 & 21 & 52 \
\hline
\end{array}$$ Examine the three samples. Without performing any calculations, indicate which sample has the greatest amount of variability and which sample has the least amount of variability.

Accepted Answer

The answer of Data from three samples are shown below:...

Question 3

The following data represent the numbers of bedrooms in a sample of 10 suburban houses in Melbourne: $$\begin{array} { | l | l | l | l | r | r | r | r | r | r | } 
\hline 3 & 3 & 2 & 2 & 4 & 5 & 2 & 5 & 4 & 2 \
\hline
\end{array}$$ Use these data to answer the following question/s.
-a. Compute the range.
b. Compute the variance.
c. Compute the standard deviation.

Accepted Answer

The answer of The following data represent the numbers of...

Question 4

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Compute the sample mean weight.

Accepted Answer

The answer of The following data represent the weights (in...

Question 5

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Construct a box plot for the weights.

Accepted Answer

The answer of The following data represent the weights (in...

Question 6

Is the following histogram constructed from the weight data unimodal, bimodal or multimodal?

Accepted Answer

The answer of Is the following histogram constructed from the...

Question 7

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | } 
\hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \
\hline
\end{array}$$ Find the standard deviation.

Accepted Answer

The answer of Data were obtained for the weight in...

Question 8

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Are there any outliers?

Accepted Answer

The answer of The following data represent the weights (in...

Question 9

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Compute the range and interquartile range of the data.

Accepted Answer

The answer of The following data represent the weights (in...

Question 10

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Compute the sample variance and sample standard deviation.

Accepted Answer

The answer of The following data represent the weights (in...

Question 11

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Calculate the 3rd and 8th deciles of the data.

Accepted Answer

The answer of The following data represent the weights (in...

Question 12

Explain the best measure of central location, for each of the following:
a. Method of travelling to work.
b. Average income of university students.
c. Average weight of a 1kg bag of flour.

Accepted Answer

The answer of Explain the best measure of central location,...

Question 13

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | } 
\hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \
\hline
\end{array}$$ Find the mean, median and mode weight packet of sweetener and explain which is best measure of central location.

Accepted Answer

The answer of Data were obtained for the weight in...

Question 14

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Determine the location and value of the 65th percentile of the weights.

Accepted Answer

The answer of The following data represent the weights (in...

Question 15

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Determine the location and value of the upper quartile of the weights.

Accepted Answer

The answer of The following data represent the weights (in...

Question 16

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Find the median weight.

Accepted Answer

The answer of The following data represent the weights (in...

Question 17

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | } 
\hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \
\hline
\end{array}$$ Find the range

Accepted Answer

The answer of Data were obtained for the weight in...

Question 18

Compute the coefficient of variation.

Accepted Answer

The answer of Compute the coefficient of variation....

Question 19

The following data represent the weights (in kilograms) of a sample of 30 horses:
Weight
165
175
150
155
173
149
145
153
153
153
152
145
164
143
170
175
148
174
171
156
166
168
152
150
173
168
146
155
172
159
Determine the location and value of the lower quartile of the weights.

Accepted Answer

The answer of The following data represent the weights (in...

Question 20

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | } 
\hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \
\hline
\end{array}$$ Find the variance.

Accepted Answer

The answer of Data were obtained for the weight in...

Quiz 5: Numerical Descriptive Measures

When is the standard deviation of a data set smaller than its variance? Explain.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Compute the sample mean weight.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Construct a box plot for the weights.

Is the following histogram constructed from the weight data unimodal, bimodal or multimodal?

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \\\hline\end{array}$ Find the standard deviation.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Are there any outliers?

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Compute the range and interquartile range of the data.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Compute the sample variance and sample standard deviation.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Calculate the 3rd and 8th deciles of the data.

Explain the best measure of central location, for each of the following: a. Method of travelling to work. b. Average income of university students. c. Average weight of a 1kg bag of flour.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Determine the location and value of the 65th percentile of the weights.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Determine the location and value of the upper quartile of the weights.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Find the median weight.

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \\\hline\end{array}$ Find the range

Compute the coefficient of variation.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Determine the location and value of the lower quartile of the weights.

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \\\hline\end{array}$ Find the variance.