Answer :
The mean of the data is 116, the median is 115, and the mode is 114. All three measures offer insights into the dataset's central tendencies.
To find the mean, median, and mode of the given data: 114, 120, 115, 114, 118, 117, 114, let's follow these steps:
Mean: Add all the numbers together and divide by the number of data points.
- Sum: 114 + 120 + 115 + 114 + 118 + 117 + 114 = 812
- Number of data points: 7
- Mean: 812 / 7 = 116
Median: Arrange the numbers in ascending order and find the middle value. If there is an even number of observations, calculate the average of the two middle values.
- Ordered data: 114, 114, 114, 115, 117, 118, 120
- Since n = 7 (an odd number), the median is the 4th value which is 115
Mode: The most frequently occurring value in the dataset.
- Mode: 114 (appears 3 times)
Thus, the mean is 116, the median is 115, and the mode is 114.
Answer:
Mean: 116
Median: 115
Mode: 115
Step-by-step explanation:
Mean is the average of the data set; it’s found by adding up all the numbers and dividing that sum by the number of numbers there are
(114 + 120 + 115 + 114 + 118 + 117 + 114)/7 = 812/7 = 116
Median is found out by ordering the given numbers from largest to smallest and finding the middle number; if there are an even number of given numbers, you add them up and divide by two.
In this case, you are lucky enough to be given an odd numbers of given numbers
Ordering (smallest to largest):
114, 114, 114, 115, 117, 118, 120
Median is 115
(this is the number in the middle of the data set)
Mode is the most frequently occurring number in the data set
In this case, the
Mode is 114
