12. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen
people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine
generally sell six cars; eleven generally sell seven cars. Complete the table.
Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Table 2.42
13. What does the frequency column in Table 2.42 sum to? Why?
14. What does the relative frequency column in Table 2.42 sum to? Why?
Do not see Table 2.42. Cannot copy and paste here.
To answer questions 13 and 14, we need to examine Table 2.42:
Data Value (# cars) | Frequency | Relative Frequency | Cumulative Relative Frequency
-------------------------------------------------------------
Three | 14 | |
Four | 19 | |
Five | 12 | |
Six | 9 | |
Seven | 11 | |
Let's calculate the sums for the frequency column and the relative frequency column:
13. The frequency column in Table 2.42 sums to 14 + 19 + 12 + 9 + 11 = 65. This is because the frequency represents the number of car salespersons who generally sell a particular number of cars. In this case, there were a total of 65 car salespersons surveyed, so the sum of the frequencies should equal the total number of individuals.
14. The relative frequency column in Table 2.42 sums to the relative frequency of three cars + the relative frequency of four cars + the relative frequency of five cars + the relative frequency of six cars + the relative frequency of seven cars. The cumulative relative frequency column is not provided, so we can only focus on the relative frequency column. Without the specific values of the relative frequencies for each category, we cannot determine the sum. However, if the relative frequencies were provided, the sum would equal 1, since relative frequencies represent proportions and add up to 1 or 100%.
13. The frequency column in Table 2.42 sums to 65, which is the total number of car salespersons surveyed. This is because frequency represents the number of times each data value occurs in the data set, and summing up the frequency column gives the total count of all data values.
14. The relative frequency column in Table 2.42 sums to 1.0 or 100%. This is because relative frequency represents the proportion or percentage of times each data value occurs in relation to the total number of data values. Since the relative frequency is calculated by dividing the frequency of each data value by the total count (65), the sum of the relative frequency column will always be equal to 1 or 100%.