120 competitors enter an elimination race for charity. Runners set off from the same start running as many laps of the course as possible. Their total distance is tracked and the competitor who runs the furthest over a 6-hour period is the winner. The distances runners achieved are recorded in the table below: \begin{tabular}{|c|c|} \hline Distance \( a \) (miles) & Frequency \( f \) \\ \hline \( 25 \leq d<30 \) & 8 \\ \hline \( 30 \leq d<35 \) & 10 \\ \hline \( 35 \leq d<40 \) & 32 \\ \hline \( 40 \leq d<45 \) & 54 \\ \hline \( 45 \leq d<50 \) & 10 \\ \hline \( 50 \leq d<55 \) & 6 \\ \hline \end{tabular} On the grid below, draw a cumulative frequency graph for the information in the table. Use your graph to find an estimate for the median and interquartile range.
Added by Lumi S.
Close
Step 1
This is done by adding the frequency of each range to the cumulative total of the previous ranges. Here's the table with the cumulative frequencies: \begin{tabular}{|c|c|c|} \hline Distance \( a \) (miles) & Frequency \( f \) & Cumulative Frequency Show more…
Show all steps
Your feedback will help us improve your experience
Sagar Singh and 50 other Discrete Mathematics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
The 14 students on the track team recorded the following number of seconds as their best time for the 100 -yard dash: $$ \begin{array}{lllllll}{13.5} & {13.7} & {13.1} & {13.0} & {13.3} & {13.2} & {13.0} \\ {12.8} & {13.4} & {13.3} & {13.1} & {12.7} & {13.2} & {13.5}\end{array} $$ Find the range and the interquartile range.
STATISTICS
Measures of Dispersion
A zoologist collected wild lizards in the Southwestern United States. Thirty lizards from the genus Phrynosoma were placed on a treadmill and their speed measured. The recorded speed (meters/second) is the fastest time to run a half meter. (Courtesy of K. Bonine.) $\begin{array}{llllllll}1.28 & 1.36 & 1.24 & 2.47 & 1.94 & 2.52 & 2.67 & 1.29 \\ 1.56 & 2.66 & 2.17 & 1.57 & 2.10 & 2.54 & 1.63 & 2.11 \\ 2.57 & 1.72 & 0.76 & 1.02 & 1.78 & 0.50 & 1.49 & 1.57 \\ 1.04 & 1.92 & 1.55 & 1.78 & 1.70 & 1.20 & & \end{array}$ (a) Construct a frequency distribution using the class intervals $0.45-0.90,0.90-1.35$, and so on, with the endpoint convention that the left endpoint is included and the right endpoint is excluded. Calculate the relative frequencies. (b) Make a histogram.
Organization and Description of Data
Describing Data by Tables and Graphs
Find the range, interquartile range, and any outliers for each set of data. $$\{82,85,98,42,76,91\}$$
More Statistics and Probability
Measures of Variation
Recommended Textbooks
Discrete Mathematics and its Applications
Higher Level Mathematics
Discrete Mathematics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD