Page 151 - Data Science class 10
P. 151
• Did you get similar answers using the different measuring tools? Why or why not? Did you get identical answers
using the different measuring tools? Why or why not?
• Which measuring tool do you think gave you more accurate results, the ruler or the yardstick? Why?
• Do you think a tape measure would be more or less accurate than a ruler or a yardstick? Why? If you have a
tape measure available, use it to measure the same room five times and see how the results compare with your
previous measurements.
Which method(s) used by the participants produced the most variation? Which method(s) produced the least
variation? How do your results compare with those of the onscreen participants?
Using a meter stick, measure the heights (without shoes) and arm spans (fingertip to fingertip) of three men and
three women. Record your measurements to the nearest centimeter.
Problem 2: Height Measurement
Let’s study two more statistical questions. For example, suppose you were curious about the relative heights and
arm spans of men and women.
1. Ask a Question
Are men typically taller than women?
Do men typically have longer arm spans than women?
2. Collect Data
Using a meter stick, measure the heights (without shoes) and arm spans (fingertip to fingertip) of three men and
three women. Record your measurements to the nearest centimeter.
a. Did you get the same height for all six people? Did you get the same arm span for all six people? Why or why
not?
b. If you measure all six heights and arm spans again, would the results be identical? Why or why not?
Let’s look at heights and arm spans again, this time measuring 24 people. Here are their data [heights (without
shoes) and arm spans were measured to the nearest centimeter, using a meter stick]:
Gender Height Arm Spam Gender Height Arm Spam
Male 185 173 Male 180 184
Female 160 161 Female 162 159
Male 173 177 Male 187 188
Female 170 170 Male 186 200
Female 188 188 Male 182 188
Male 184 196 Female 160 157
Female 162 156 Male 181 188
Female 170 162 Male 192 188
Male 176 177 Female 167 170
Female 166 165 Female 176 173
Male 193 194 Female 155 160
Male 178 178 Female 162 161
Problem 3: How Long Is a Minute?
1. Ask a Question
How well can people judge the time it takes for a minute to pass?
Distributions in Data Science 149

