Question

Suppose a data set with 15 observations has an outlier present (i.e. the extreme observation very
far away from the rest of the data).
Would the mean of the data set be affected by this outlier? Explain:

Would the median of the data set be affected by this outlier? Explain:

0

A student took a Biology exam and scored 77. If the class exam scores were mound-shaped with
a mean score of 70 and standard deviation of 16, use z-score to determine how the student placed
comparing with the class average i.e. is the student's mark an outlier or not?

0

The number of goals scored by Wayne Gretzky was recorded for seasons 1978-1999.
46, 51, 55, 92, 71, 87, 73, 52, 62, 40, 54, 40, 41, 31, 16, 38, 11, 23, 5, 23, 9

What is the average number of goals scored by Wayne Gretzky?

What is the standard deviations of the number of goals?

Draw a stem-and-leaf plot (by hand)

Roughly, how would you describe the shape of the graph?

Calculate the 3 quartiles (Q1, Q2 = median, Q3)?

What is the proportion of the measurements in x 2s?

Is this proportion close to what the empirical rule suggests? Why?

0

The monthly utility bills for a household in Windsor, Ontario, were recorded for 12 consecutive
months starting in January 2006:
204.94,180.00, 178.23, 176.43, 165.12, 236.72, 276.70, 309.70, 312.40, 238.66, 225.47, 222.23

25% of utility bills are smaller than what value?

50% of utility bills are greater than what value?

75% of utility bills are smaller than what value?

Calculate the IQR (i.e. Inter-Quartile Range).

Calculate the lower and upper fences.

Construct a Boxplot (by hand). [2] Describe the distribution of the monthly utility
bills and identify any outliers.

0

A random sample of 10 students was taken from a population of first year students who have
already entered the university or will do so in the immediate future. We wish to predict students'
final grade in Calculus based on the mark obtained on a math test administered prior to the
entrance to university

student 1-2-3-4-5-6-7-8-9-10
math score 39-43-21-64-57-47-28-75-34-52
Final grade 65-78-52-82-92-89-73-98-56-75

Find the correlation coecient between math test score and the final grade in Calculus.

Find the regression line that enables you to predict the final grades in Calculus based
on the results of the math test.

please help me and I will really appreciate it

Answer 1

This is not a single question. So, I am answering the first question.

Given that there are 15 observations and there is an outlier present in the data set.

The mean of the data set will be affected by the outlier, since mean is obtained by taking all observations into consideration. So, if the outlier is very large mean will be shifted towards right.

The median of the data set will not be affected by the outlier, since the median is just the middlemost observation. It is not obtained by taking all observations into consideration.