Answer :
Final answer:
The mode of the frequency distribution with intervals 25-30, 30-35, 35-40, 40-45, 45-50, and 50-55 is the interval 35-40 with a frequency of 50. The mode for the exam scores is 72, which occurs five times. The relative frequency of scores in the 70-79 range for a class of 35 students, with 7 students scoring in that range, is 20%.
Explanation:
To find the mode of the given frequency distribution, we need to identify the class interval with the highest frequency. The class intervals are 25-30, 30-35, 35-40, 40-45, 45-50, and 50-55, with frequencies of 25, 34, 50, 42, 38, and 14 respectively. The mode is the value that appears most frequently in a set of data. In this case, the interval with the highest frequency is 35-40, occurring 50 times. Therefore, the mode of this frequency distribution is the interval 35-40.
For the questions related to statistics exam scores, the mode is the score that appears most frequently. In the provided list of scores, 72 occurs five times, which is more frequent than any other score, making it the mode.
The relative frequency indicates the proportion of the whole number of data points that fall within a particular class interval. You calculate it by dividing the frequency of the class interval by the total number of data points. For instance, if 7 students scored in the 70-79 range out of 35 students, the relative frequency is 7/35, which simplifies to 0.2 or 20%.
