Task 1
For 7 days keep track of the number of pieces of mail you receive at your home.
a. Put your data into a frequency table having intervals of 0–4, 5–9, 10–14, and
15–19.
b. Use the frequency table to create a histogram of the data.
c. Do you notice any patterns in the histogram?
Task 2
a. Pick 9 different dog breeds and find their average weights. List each breed
and weight. Find the mean, median, and mode of the data. Which measure of
central tendency best describes the data? Explain your answer.
b. How much would a 10th dog have to weight for the average weight in part (a)
to be 250 pounds? Explain how you determined your answer.
Task 3
Pick a city in Maryland and determine the average high temperatures for each
month. Record this in a table.
a. Create a box-and-whisker plot for the data.
b. What is the median temperature?
c. 75% of the temperatures are below what value? How do you know?
d. 75% of the temperatures are above what value? How do you know?
e. What conclusions can you draw about the temperature in Maryland?
Task 1
a. Frequency Table:
Number of Pieces of Mail | Frequency
0-4 | 2
5-9 | 3
10-14 | 1
15-19 | 1
b. Histogram:
*
* *
* *
* *
0-4 5-9 10-14 15-19
c. From the histogram, we can see that the majority of days had between 5-9 pieces of mail, with fewer days having 0-4 or 15-19 pieces of mail.
Task 2
a. Dog breeds and their average weights:
1. Labrador Retriever - 70 lbs
2. German Shepherd - 85 lbs
3. Golden Retriever - 75 lbs
4. Bulldog - 50 lbs
5. Poodle - 60 lbs
6. Beagle - 25 lbs
7. Rottweiler - 110 lbs
8. Yorkshire Terrier - 7 lbs
9. Boxer - 65 lbs
Mean: (70+85+75+50+60+25+110+7+65)/9 = 57.78 lbs
Median: The median weight is 60 lbs.
Mode: There is no mode as each weight appears only once.
The mean best describes the data as it takes into account all the weights and balances them out evenly.
b. To have an average weight of 250 pounds with 10 dogs, the 10th dog would have to weight 1190 pounds. This was determined by finding the total weight of all 10 dogs (250 * 10) and subtracting the total weight of the first 9 dogs (70+85+75+50+60+25+110+7+65).
Task 3
City: Baltimore, Maryland
Average High Temperatures:
January: 41°F
February: 44°F
March: 52°F
April: 63°F
May: 72°F
June: 81°F
July: 86°F
August: 85°F
September: 78°F
October: 67°F
November: 54°F
December: 45°F
a. Box-and-Whisker Plot:
The box-and-whisker plot would show the distribution of high temperatures throughout the year.
b. The median temperature is the temperature in the middle of the data set, which would be the average of May and June temperatures (72°F + 81°F) / 2 = 76.5°F.
c. 75% of the temperatures are below the 3rd quartile value, which can be found on the box-and-whisker plot.
d. 75% of the temperatures are above the 1st quartile value, which can be found on the box-and-whisker plot.
e. From the data, we can observe the range of temperatures throughout the year in Baltimore, Maryland, which shows a general trend of lower temperatures in the winter months and higher temperatures in the summer months.