Final answer:
To determine the total number of students represented by the histogram, the frequencies for each interval must be summed. The exact number of students cannot be deduced from the information provided. For another example given, 1,000 students were surveyed in a random sample.
Step-by-step explanation:
The question pertains to the analysis of data represented in a histogram. To determine the total number of students represented by the histogram, one should add up the frequencies for each class interval (the class boundaries given are 50 to less than 60, 60 to less than 70, 70 to less than 80, 80 to less than 90, and 90 to less than 100). Unfortunately, without the specific frequencies for each interval, we cannot compute the exact number of students represented in the histogram. However, for example, if there were 10 students in the 50 to less than 60 range, 20 students in the 60 to less than 70 range, and so on, the total number of students would be the sum of all these frequencies.
In case of the random sample mentioned, exactly 1,000 students from the eastern United States were surveyed. The data collection method mentioned is a 'random sample'. When constructing a histogram, choosing an appropriate starting value is important for clear data representation. To find the median, first quartile, and third quartile, the data needs to be organized and these statistical values computed based on their definitions. The percentile values can also be calculated once the data is organized in a table. Percentiles represent the value below which a given percentage of observations in a group of observations falls.