Question 1: When my friend Seth transferred from Hood to Mount St. Mary’s, many of his friends remarked that the average student IQ increased at both places. Is this possible and if so, how? Briefly explain.
Question 1: When my friend Seth transferred from Hood to Mount St. Mary’s, many of his friends remarked that the average student IQ increased at both places. Is this possible and if so, how? Briefly explain.
Question 1: When my friend Seth transferred from Hood to Mount St. Mary’s, many of his friends remarked that the average student IQ increased at both places. Is this possible and if so, how? Briefly explain.
Question 1: When my friend Seth transferred from Hood to Mount St. Mary’s, many of his friends remarked that the average student IQ increased at both places. Is this possible and if so, how? Briefly explain.
Question 2: Unfortunately, a friend of yours has been diagnosed with cancer. You obtain a histogram of the survival time (in months) of patients diagnosed with this form of cancer as shown in the figure below. The median survival time for individuals with this form of cancer is 11 months, while the mean survival time is 69 months. What words of encouragement should you share with your friend from a statistical point of view
Question 3: Consider which of the relationships below are likely to have a positive and which are likely to have a negative correlation coefficient.1. The distance a vehicle travels and the fuel consumed2. The demand for laptop computers and their price3. The average temperature of countries and the sales of warm clothing4. The amount consumers spend on motor insurance and their age5. The population of countries and the amount of waste they generate6. The income of people and the amount of income tax they pay.
Transcribed Image Text:### Survival Time of Patients
This histogram displays the survival time of patients in months. The x-axis represents the survival time in months, divided into intervals: 0-40, 40-80, 80-120, 120-160, and 160-200 months. The y-axis indicates the percentage of patients corresponding to each interval.
- **0-40 months:** Approximately 50% of patients fall within this interval, indicating a high percentage of patients with a shorter survival time.
- **40-80 months:** This interval shows a sharp decline, with a negligible percentage of patients.
- **80-120 months:** Around 5% of patients are within this range, indicating a lower survival rate.
- **120-160 months:** Roughly 10% of patients fall within this interval, showing a small increase.
- **160-200 months:** Also around 10% of patients, indicating a similar percentage to the previous interval.
Overall, the graph suggests that the majority of patients have a survival time of fewer than 40 months, with the percentage of patients decreasing as survival time increases.
Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.
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