Question

1. the data set represents the responses, in degrees fahrenheit, collected to answer the question \how hot is the sidewalk during the school day?\. 92, 96, 96, 95, 98, 100, 100, 100, 103, 105, 105, 111, 112, 115, 115, 116, 116, 116, 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. interval frequency 90 - 94 1 95 - 99 4 100 - 104 4 105 - 109 1 110 - 114 2 115 - 119 11 c. which display gives you a better overall understanding of the data? explain your reasoning.

Explanation:

Step1: Analyze dot - plot characteristics

A dot - plot shows each data point as a dot above a number line. It is good for seeing individual data values and the shape of the distribution, like clustering and outliers. For the given data, we can easily identify how many times each temperature value occurs.

Step2: Analyze histogram characteristics

A histogram groups data into intervals and shows the frequency of data within each interval. It gives a better sense of the overall shape of the distribution (e.g., symmetric, skewed) and the spread of data across different ranges. For example, in the given intervals, we can see which temperature ranges are more common.

Step3: Compare for better understanding

The histogram might give a better overall understanding of the data. It groups the data into intervals, which can help in quickly identifying the range where most of the data lies. For example, we can see from the histogram that a large number of data points are in the 115 - 119 interval. While the dot - plot shows individual values well, when there are a large number of data points, it can look cluttered and it may be harder to discern the overall pattern of the data distribution.

Answer:

The histogram gives a better overall understanding of the data because it groups data into intervals, making it easier to identify where most of the data lies and the overall shape of the distribution.