Please help I have no clue what i am doing and my school is not giving me a lot to work with
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?
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.
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?
a. To create a frequency table for the number of pieces of mail you receive, you can follow these steps:
1. Start by listing the intervals: 0-4, 5-9, 10-14, and 15-19.
2. Count the number of days you receive mail falling into each interval.
3. Record the frequencies in the table next to each interval. For example, if you receive mail 3 days within the 0-4 interval, you would write "3" in the corresponding frequency column.
4. Repeat steps 2-3 for each interval.
b. To create a histogram using the frequency table, follow these steps:
1. Draw a horizontal axis and label it with the intervals.
2. Draw a vertical axis representing the frequency or count of each interval.
3. For each interval, draw a bar extending vertically from the axis with a height corresponding to the frequency.
4. Repeat this process for each interval, making sure the bars in the histogram do not touch.
c. Analyzing the histogram, you can look for patterns such as clusters or gaps in the data. Consider the heights or frequencies of the bars to identify any patterns. For example, if most of the bars are clustered around a particular interval or if there are significant gaps between intervals, you can infer patterns in the data based on these observations.
a. To find the average weights of 9 different dog breeds, follow these steps:
1. Measure and record the weight of each dog breed.
2. Add up the weights of all 9 dog breeds.
3. Divide the total weight by 9 (the number of dog breeds) to find the mean weight.
4. To find the median, arrange the weights in ascending order and identify the middle value. If there are two middle values, calculate their average.
5. Identify the mode, which is the weight that occurs most frequently in the data.
Considering the different measures of central tendency, the best one to describe the data depends on the distribution of the weights. If the weights are distributed symmetrically and without outliers, the mean would best represent the data since it takes into account all the values. However, if there are outliers or the distribution is skewed, the median would better describe the central tendency as it is less affected by extreme values.
b. To determine the weight of the 10th dog needed for the average weight to be 250 pounds, you can use this formula:
Weight of the 10th dog = (Average weight * Total number of dogs) - (Sum of weights of the first 9 dogs)
In this case, substitute the average weight in part (a) with 250 pounds, and the total number of dogs with 10. Calculate the sum of the weights of the first 9 dogs by adding their individual weights. By plugging these values into the formula, you can find the weight of the 10th dog needed to achieve a 250-pound average.
For the city in Maryland and its average high temperatures, follow these steps:
a. Collect the average high temperatures for each month and record them in a table.
b. To create a box-and-whisker plot, arrange the temperatures in ascending order.
c. Identify the median temperature by locating the middle value in the ordered list. If there are two middle values, calculate their average.
d. To find the 75th percentile, divide the data into four equal parts, with each part representing 25%. The 75th percentile represents the value below which 75% of the temperatures are found. Looking at the plot, you can determine the temperature corresponding to the 75th percentile.
e. Similarly, determine the value above which 75% of the temperatures are found by referring to the plot.
f. Analyze the box-and-whisker plot to draw conclusions about the temperature in Maryland. Look for patterns such as the spread of temperatures, presence of outliers, or symmetry of the data. You can infer information about the variability and distribution of temperatures in Maryland based on these observations.