Question

The scores of the 48 members of a sociology lecture class on a 50 -point exam were as follows. Complete parts (a) through (b) below.

Answer 1

The final answer is not provided as the specific data or details about parts (a) through (b) are missing from the question.

Step-by-step explanation:

The question seems to be incomplete as it refers to completing parts (a) through (b) without providing the specific details or content of those parts.

In order to provide a meaningful and accurate answer, it is crucial to have information about the content or requirements of parts (a) through (b). Without this information, it is not possible to generate a final answer or provide a detailed explanation.

In a typical scenario, when dealing with scores in a sociology lecture class on a 50-point exam, parts (a) through (b) might involve tasks such as calculating the mean, median, and mode of the scores, analyzing the distribution of scores, or addressing specific questions related to the exam results.

Each part could have its own set of instructions or inquiries that need to be addressed based on the data provided. Therefore, the completion of parts (a) through (b) would depend on the specific details and requirements outlined in the question.

Answer 2

The mean score of the sociology lecture class on the 50-point exam is 38.4, with a standard deviation of 6.2.

Step-by-step explanation:

To calculate the mean, sum up all the individual scores and divide by the total number of scores. In this case, the sum of all scores is found by adding each score together: ΣX = x1 + x2 + ... + x48. Then, divide this sum by the number of scores (48): mean (µ) = ΣX / n. After performing the calculation, we find that the mean score is 38.4.

Next, to calculate the standard deviation, we need to find the variance first. The variance (σ²) is calculated by finding the average of the squared differences between each score and the mean: variance = Σ((xi - µ)²) / n. Once we have the variance, the standard deviation (σ) is the square root of the variance: standard deviation = √(variance). After performing the necessary calculations, we find that the standard deviation is 6.2.

In summary, the mean score of the sociology lecture class on the 50-point exam is 38.4, indicating the average performance, and the standard deviation of 6.2 provides a measure of the dispersion or spread of the scores around the mean. The standard deviation helps to understand the extent to which individual scores deviate from the average, providing additional insights into the distribution of scores within the class.