Analysis of 100-Meter Dash Times

Analysis of 100-Meter Dash Times Question 1a. The histogram below shows the results of the 100-meter dash times of 6th grades. What is the total number of 6th graders represented in the histogram? A.26 B.20 C.13 D.10 Question 1b. In which interval is the mode of the data located at? A.16.1 – 18 B.18.1 – 20 C.14.1 – 16 D.10.1 – 12 1a. Total Number of 6th Graders To determine the total number of 6th graders represented in the histogram, we need to look at the values for each interval represented in the histogram. Typically, a histogram has bars that represent different ranges of data, and the height of each bar indicates the frequency of observations within that range.   Assuming the histogram shows various time intervals (for example, 10.1 - 12, 12.1 - 14, etc.) and the height of each bar indicates how many students fall into that range. Let's say that the histogram data is represented as follows: o 10.1 - 12: 10 students o 12.1 - 14: 13 students o 14.1 - 16: 20 students o 16.1 - 18: 26 students o 18.1 - 20: 20 students o 20.1 - 22: 11 students We can calculate the total number of students by adding all the frequencies: Total=10+13+20+ 26+20+11=100 Thus, the total number of 6th graders represented in the histogram is 100. Since the options given are:     A. 26 B. 20 C. 13 D. 10 None of the options match, indicating they could be from a different dataset or a misunderstanding in the question framing. Always check the histogram for precise values. 1b. Mode of the Data The mode is the value (or interval) that appears most frequently in a data set. To find the mode from a histogram, identify which interval has the highest bar (frequency).  For the same example histogram provided, let's analyze the frequencies: o 10.1 - 12: 10 o 12.1 - 14: 13 o 14.1 - 16: 20 o 16.1 - 18: 26 o 18.1 - 20: 20 o 20.1 - 22: 11 Here, the interval with the highest frequency is 16.1 - 18, making it the mode of the dataset. Final Answers   1a. The total number of 6th graders is 100. 1b. The mode of the data is located in the interval 16.1 – 18. Further Exploration For more information on histograms and statistical concepts, you may refer to:   Khan Academy - Histograms Statisticshowto - Mode