- Regina spent the first seven days of her holidays in New York, USA. She recorded the temperatures for seven days as follows: 5, 10, 14, 12, 8, 10, and 11
a. Create a frequency distribution table for the data
b. Determine the mean, median, and mode of the temperatures.
c. Determine the variance and standard deviation for the temperatures
d. Create a box and whisker plot of the data
e. Determine the outlier if any
f. Which measure of central tendency would best represent the temperatures in New York? Explain.
- A teacher is calculating the marks for the students in her Data Management class. She assigns the following values to each category:
Knowledge: 25%, Thinking: 20%, Application: 20%, Communication: 20%, and final examination 15%.
Angel has not yet written her final examination, but her marks in the first four categories are 90, 60, 75, and 70.
a) Determine the weighted mean for Angel before the final exam.
b) Determine the unweighted mean for Angel before the final exam
c) What mark must Angel receive on the final exam to finish the course with 75%? - During the covid-19 pandemic, a survey of small businesses in the Greater Toronto Area showed that a mean of 10% of gross income was spent on protective supplies, with a standard deviation of 2%, following a normal distribution. At a 95% confidence level, the margin of error was 8%. How many businesses were surveyed?
SECTION C 9 marks
Communication
- You were contracted to conduct research for a bank in Ontario. You found the upper and lower limits of a 95% confidence interval to be 12 g and 20g respectively. Explain the meaning of your result to the clients
- With a specific example, explain how an outlier can affect the measures of central tendencies