Step 1 :Given the data set [4, 5, 4, 4, 7, 3, 5, 7, 3, 7, 6, 7, 5, 45], we need to find the mode. The mode is the number that appears most frequently in the data set.
Step 2 :First, we create a frequency distribution, which is a list of the data values along with their corresponding frequencies (the number of times each value appears in the data set).
Step 3 :The frequency distribution for this data set is {7: 4, 4: 3, 5: 3, 3: 2, 6: 1, 45: 1}.
Step 4 :From the frequency distribution, we can see that the number 7 appears most frequently, with a frequency of 4.
Step 5 :Therefore, the mode of the data set is 7.