Worksheet 3.1 -1

docx

School

California State University, Sacramento *

*We aren’t endorsed by this school

Course

109W

Subject

Statistics

Date

Feb 20, 2024

Type

docx

Pages

Uploaded by brendavelazquezolvera838

Worksheet: Section 3.1 1. The dotplot below shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup. a) Which measure of center (mean or median) can you most accurately estimate from this information? Justify your answer. Median is the measure of center that most accurately estimates that information. b) What is your estimate for the measure of center you chose? The estimate is 36 2. For the 17 quiz scores graphed in the histogram, choose the best estimate for the median. Justify your choice. A. The median is between 10 and 12 B. The median is 13 C. The median is between 16 and 18

There are 17 scores, the median will have 8 scores below it and 8 scores above it. There are 8 scores between 4 and 16. So the median could be 16 or any number between 16 and 18. 3. A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much money they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which measure of center will change? Or do they remain the same? Justify your answer. The mean will change because it is not resistant to outliers. When adding $20 instead of $2 the result changes. The median stays the same because is resistant to outliers. 4. Diego wants to have an average of 80 for his 4 exams. Each exam is scored on a scale of 0 to 100. His first three exam scores are: 87, 72, 85. What does Diego need to score on the 4th exam to have a mean of 80 on all 4 exams? Diego needs to score 76 on the 4 th exam to have a mean of 80 on all 4 exams.

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version