A sample of 30 engineering graduates had the following starting salaries (in thousands of euros):

35.2, 36.7, 36.1, 35.0, 36.4, 36.7, 36.6, 37.9, 36.4, 37.0,
36.8, 34.9, 37.2, 36.2, 35.8, 36.8, 37.3, 38.2, 36.3, 36.4,
39.0, 38.3, 36.0, 38.3, 36.4, 36.5, 38.4, 39.4, 38.8, 35.4

Answer the following questions:

a. What is the mean starting salary?
b. What is the median starting salary?
c. What is the mode?
d. What is the first quartile?
e. What is the third quartile?
f. Compute and interpret the 60th percentile.

The mean starting salary is approximately $37,000. The median starting salary is $36,400. There is no mode in the data set. The first quartile is $35,800 and the third quartile is $38,300. The 60th percentile is $37,300.

Explanation:

To calculate the mean starting salary, add up all the salaries and divide by the number of salaries:

Mean = (36.8 + 34.9 + 37.2 + 36.2 + 35.8 + 36.8 + 37.3 + 38.2 + 36.3 + 36.4 + 39.0 + 38.3 + 36.0 + 38.3 + 36.4 + 36.5 + 38.4 + 39.4 + 38.8 + 35.4) / 20

Calculate the sum of the salaries and divide by 20 to find the mean starting salary.

To find the median starting salary, arrange the salaries in ascending order:

34.9, 35.4, 35.8, 36.0, 36.2, 36.3, 36.4, 36.4, 36.5, 36.8, 36.8, 37.2, 37.3, 38.2, 38.3, 38.3, 38.4, 38.8, 39.0, 39.4

The median is the middle value, which in this case is 36.4.

To find the mode, determine the value that appears most frequently. In this case, there is no mode as no value appears more than once.

The first quartile is the value below which 25% of the data falls. To find the first quartile, multiply 25% by the total number of salaries:

First Quartile = 0.25 * 20 = 5

Counting from the lowest value, the first quartile is the 5th value, which is 35.8.

The third quartile is the value below which 75% of the data falls. To find the third quartile, multiply 75% by the total number of salaries:

Third Quartile = 0.75 * 20 = 15

Counting from the lowest value, the third quartile is the 15th value, which is 38.3.

To compute the 60th percentile, arrange the salaries in ascending order:

34.9, 35.4, 35.8, 36.0, 36.2, 36.3, 36.4, 36.4, 36.5, 36.8, 36.8, 37.2, 37.3, 38.2, 38.3, 38.3, 38.4, 38.8, 39.0, 39.4

The 60th percentile is the value below which 60% of the data falls. To find the 60th percentile, multiply 60% by the total number of salaries:

60th Percentile = 0.60 * 20 = 12

Counting from the lowest value, the 60th percentile is the 12th value, which is 37.3.

Learn more about calculating measures of central tendency and percentiles here:

https://brainly.com/question/29418137

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