Question

c++ When analyzing data sets, such as data for human heights or for human weights, a common step is to adjust the data. This can be done by normalizing to values between 0 and 1, or throwing away outliers. For this program, adjust the values by subtracting the smallest value from all the values. The input begins with an integer indicating the number of integers that follow. Ex: If the input is: 5 30 50 10 70 65 the output is: 20 40 0 60 55 The 5 indicates that there are five values in the list, namely 30, 50, 10, 70, and 65. 10 is the smallest value in the list, so is subtracted from each value in the list.

Answer 1

To adjust data sets in mathematics, you subtract the smallest value from all values to normalize the set, which aids in data analysis and the construction of histograms or calculation of central tendency measures like the mean and median.

Step-by-step explanation:

To adjust data sets by subtracting the smallest value from all values, you need to find the minimum value in the set. Once identified, this minimum value is subtracted from each data point, effectively translating the data so that the smallest value becomes zero.

For example, consider the data set of human heights: 160, 165, 170, 150, and 175 cm. The smallest height is 150 cm. By subtracting 150 cm from each height, the adjusted values would be 10 cm, 15 cm, 20 cm, 0 cm, and 25 cm, respectively. This process is a simple form of normalization that can help in comparing data sets and analyzing them through statistical methods such as histograms or calculating measures of the center like the mean and median.

When constructing a histogram, you may need to decide on the number of bins to use and the range they cover. To include all data, you can adjust the maximum and minimum values slightly. If dealing with extreme values or outliers, the median is often preferred over the mean as a measure of central tendency because it isn't affected as much by these extreme values.

Answer 2

A common method to adjust data sets for analysis is to subtract the smallest value from each element, setting the lowest value to zero, as demonstrated by an example where the input set of numbers 30, 50, 10, 70, and 65 becomes 20, 40, 0, 60, and 55 after adjustment.

Step-by-step explanation:

When working with data sets such as human heights or weights, adjusting the data can be beneficial. One common method is to normalize the data by adjusting the values so that they range between 0 and 1. Another method involves removing outliers to prevent them from skewing the analysis. The particular program described in the question involves adjusting the set of integers by subtracting the smallest value from each element in the set.

For example, if the input is a set of integers like 30, 50, 10, 70, and 65, the first step is to identify the smallest value, which is 10 in this case. Then, by subtracting this smallest value from each integer in the set, the adjusted output would be 20, 40, 0, 60, and 55, respectively. This process of adjustment ensures that the lowest value in the new data set is zero.