Question

5 from unit 1, lesson 2 the data set represents the responses, in degrees fahrenheit, collected to answer the question \how hot is the sidewalk during the school day?\. 92 95 95 95 98 100 100 100 103 105 105 111 112 115 115 116 117 117 118 119 119 119 119 119 119 a. create a dot plot to represent the distribution of the data. b. create a histogram to represent the distribution of the data. c. which display gives you a better overall understanding of the data? explain your reasoning. 6 from unit 1, lesson 1 is \what is the area of the floor in this classroom?\ a statistical question? explain your reasoning. learning target + i can graphically represent the data that i collected and critique the representations of others data.

Explanation:

Step1: Create dot - plot

1. Draw a number line that includes all the values in the data set (from 92 to 119).
2. For each value in the data set, place a dot above the corresponding number on the number line. For example, for the value 92, place 1 dot above 92; for the value 95 which appears 4 times, place 4 dots above 95, and so on.

Step2: Create histogram

1. Decide on the number of bins. A common choice could be 5 - 10 bins. Let's say we choose 5 bins.
2. Calculate the range of the data: $Range=119 - 92=27$.
3. Determine the bin width: $Bin\ width=\frac{27}{5}\approx6$. So our bins could be 92 - 97, 98 - 103, 104 - 109, 110 - 115, 116 - 121.
4. Count the number of data points that fall into each bin. For the bin 92 - 97, there are 5 data points (92, 95, 95, 95, 95). For the bin 98 - 103, there are 6 data points (98, 100, 100, 100, 103), and so on.
5. Draw a bar for each bin, where the height of the bar represents the frequency of data points in that bin.

Step3: Compare the displays

The dot - plot gives a better overall understanding of the data when we want to see the exact number of occurrences of each individual value. It shows the exact distribution of each data point. The histogram is better when we want to see the general shape of the distribution and group the data into intervals to get a sense of the frequency distribution over ranges of values. For this data set, if we are interested in the exact number of times each temperature was recorded, the dot - plot is better. If we want to quickly see how the temperatures are grouped in general ranges, the histogram is better.

Step4: Answer question 6

A statistical question has variability in the data used to answer it. The area of the floor in a classroom is a single - valued quantity. There is no variability in the answer (assuming the classroom is well - defined). So, "What is the area of the floor in this classroom?" is not a statistical question.

Answer:

a. Follow the steps above to create the dot - plot.
b. Follow the steps above to create the histogram.
c. If interested in exact frequencies of each value, dot - plot is better; if interested in grouped frequency over ranges, histogram is better.

1. No. A statistical question requires variability in data, and the area of a classroom floor has no variability in its answer.