Question

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. from unit 1, lesson 1 6 is what is the area of the floor in this classroom? a statistical question? explain your reasoning.

Explanation:

Step1: Create dot - plot

List out unique data values on x - axis. For each data value, place a dot above it for each occurrence in the dataset. For example, for the value 92 (which appears once), place 1 dot above 92 on the x - axis; for 95 (which appears 3 times), place 3 dots above 95 on the x - axis.

Step2: Create histogram

First, choose appropriate bin intervals. For this temperature data, bin intervals like 90 - 94, 95 - 99, 100 - 104, 105 - 109, 110 - 114, 115 - 119 could be used. Count the number of data points that fall into each bin. Then draw bars where the height of each bar represents the frequency of data points in that bin.

Step3: Compare displays

The dot - plot shows each individual data point, which is useful for seeing exact values and the frequency of each value. The histogram groups data into intervals, which is good for seeing the overall shape of the distribution (e.g., symmetric, skewed). If you want to know exact values and frequencies of individual numbers, the dot - plot is better. If you want to understand the overall distribution pattern like clustering and spread, the histogram is better.

Step4: Analyze statistical question

A statistical question has variability in the data that would be collected to answer it. The question "What is the area of the floor in this classroom?" has a single, definite answer. There is no variability in the data that would be collected to answer it. So it is not a statistical question.

Answer:

a. Dot - plot is created by placing dots for each data - point occurrence above its value on the x - axis.
b. Histogram is created by grouping data into bins and drawing bars with heights corresponding to bin frequencies.
c. Dot - plot is better for exact values and individual frequencies; histogram is better for overall distribution shape.

1. "What is the area of the floor in this classroom?" is not a statistical question because there is no variability in the data to answer it.