Answer :
Final Answer:
The value of x is -48.6.
Explanation:
To find the value of x, we need to analyze the given set of numbers: -53.1, -48.6, -41.4, and -36.9. The values appear to be arranged in ascending order, and we need to identify the middle term. Since there are an even number of terms (four in total), we average the two middle terms to find the median. The two middle terms are -48.6 and -41.4. By averaging these, we get (-48.6 + -41.4) / 2 = -45 / 2 = -22.5. Thus, the median of the given set is -22.5. However, the median is not the final answer here, as the value of x corresponds to the second term in the set, which is -48.6. Therefore, the value of x is -48.6.
In mathematical terms, if we denote the given set as S and the position of the desired value as x, where S = {-53.1, -48.6, -41.4, -36.9}, then x is the second element of S, i.e., x = S_2, which is -48.6. This result is consistent with the observation that the values are arranged in ascending order, and the second term corresponds to the desired value of x.
In conclusion, by understanding the order and structure of the given set, we determine that the value of x is -48.6, which is the second term in the sequence. This approach aligns with the principles of finding the median in a set with an even number of elements and selecting the appropriate value based on its position in the sequence.
Question: Arrange the following numbers in ascending order: -53.1, -48.6, -41.4, -36.9. What is the value of x, where x corresponds to the second term in the ordered sequence?
