Mark recorded the number of push-ups he did each day for a week. His results were: 20, 25, 30, 25, 35, 20, 25. Based on the data: What is the mean number of push-ups Mark did per day? What is the median number of push-ups? What is the mode of the data?
Answer (1)
To solve this problem, let's look at Mark's push-up data for the week: 20, 25, 30, 25, 35, 20, 25.
Mean (Average) Number of Push-Ups Per Day:
To find the mean, you add up all the numbers and then divide by the total count of numbers.
Mean = 7 20 + 25 + 30 + 25 + 35 + 20 + 25
Mean = 7 180 ≈ 25.71
So, the mean number of push-ups Mark did per day is approximately 25.71.
Median Number of Push-Ups:
The median is the middle number of a sorted list. First, arrange the numbers in ascending order:
20, 20, 25, 25, 25, 30, 35
Since there are 7 numbers, the median is the 4th number in this sorted list.
Therefore, the median number of push-ups is 25.
Mode of the Data:
The mode is the number that appears most frequently in the data set.
From the sorted list 20, 20, 25, 25, 25, 30, 35, the number 25 appears the most frequently.
Therefore, the mode of the data is 25.
In summary:
Mean: Approximately 25.71 push-ups per day.
Median: 25 push-ups.
Mode: 25 push-ups.
