Construct a histogram. Make five to six intervals. Sketch the graph using a rule
ID: 2936445 • Letter: C
Question
Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.
Draw a smooth curve through the tops of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. (Keep it simple. Does the graph go straight across, does it have a v-shape, does it have a hump in the middle or at either end, and so on?)
How does the histogram help you arrive at the approximate distribution?
Describe the Data
Use the data you collected to complete the following statements.
The IQR goes from ___ to ___
IQR =
The 15th percentile is
The 85th percentile is
The median is
The empirical probability that a randomly chosen lap time is more than 130 seconds is
Theoretical Distribution
Using the theoretical distribution, complete the following statements. You should use a normal approximation based on your sample data.
The IQR goes from Q1= 128 to Q3= 130.75
IQR = 130.75-128 = 2.75
The 15th percentile is 128
The 85th percentile is 132
The median is 129
The probability that a randomly chosen lap time is more than 130 seconds is 0.3859
Explain the meaning of the 85th percentile of this data.
Race 16 129 128 132 128 130 128 128 132 130 132 128 129 131 128 130 130 130 130 9 129 129 129
Explanation / Answer
PErcentile is a value or a figure below which a certain percentage of items fall in a group. For example in this case the 85th percentile is 132. The number 132 indicates that in this group 85 percent of the observations fall below 132.