Answer :
According to the research conducted by the geologists of the University of Texas, the temperatures of the soil at 750 meters deep inside the ground on different locations of Earth are mentioned below:
68.4, 72.3, 58.7, 48.3, 53.8, 73.2, 37.9, 55.4, 42.7, 84.6, 67.4, 58.5, 92.4, 62.5, 87.8
To calculate the requested statistical measures:
(i) Arithmetic Mean:
The arithmetic mean, also known as the average, can be found by summing up all the temperatures and dividing by the total number of temperatures. In this case, there are 15 temperatures.
(ii) Median:
The median is the middle value when the temperature are arranged in ascending order. If there are an odd number of temperatures, the median is the middle value. If there are an even number of temperatures, the median is the average of the two middle values.
(iii) Mode:
The mode is the value that appears most frequently in the data set. If there are multiple values with the same highest frequency, the data set is considered multimodal.
(iv) Variance:
Variance measures how much the temperatures vary or deviate from the mean. It is calculated by taking the average of the squared differences between each temperature and the mean.
(v) Standard Deviation:
The standard deviation is the square root of the variance. It represents the average amount of variation or dispersion in the temperatures.
To calculate these measures, you would need to perform the necessary calculations based on the given data set.
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