In comparison to women, men, particularly white men, have enjoyedunrivaled access to education for many years. However, there has recently been a shift, with more women enrolling in educational institutions than men, notably in institutions of higher learning. Male educational underachievement has been documented not only in admission numbers but also in a greater drop-out rate than females. Despite this, men continue to surpass women in a variety of prestigious fields in science, technology, and engineering. The table below shows the distribution of years of education by gender among a random sample of 18 respondents.

Table 1: Years of education by gender

Men	Women
12	11
14	16
9	11
0	16
12	12
11	16
12	10
11	13
12	12
10	16
16	8
12	14
13	16
14	14
11	12
12	14
12	13
15	17

Question 1:

Use the information in table 1 above to calculate, for each group, the following measures:

a) Range

b) Interquartile range

c) Mean

d) Median

c) Variance

d) Standard Deviation

e) Construct a Box Plot (Put them beside each other for ease of comparison)

f) Describe the distribution of education for each gender using the numbers you've calculated. Include a discussion of which group has more education, more diversity in education levels, and so on in your response (remember to provide evidence). Is the background statement supported by the

data? What does the data imply is going on based on your findings? Provide some analysis by explaining why the findings are the way they are.

Format your answer as shown in the table below.

Complete the table below and compute the relevant measures.

Male	Female
1	2	3	4	5	6
Years of education (Y)	)	)2	Years of Education (Y)	)	)2
12			11
14			16
9			11
0			16
12			12
11			16
12			10
11			13
12			12
10			16
16			8
12			14
13			16
14			14
11			12
12			14
12			13
15			17
Y= =	)=	)2 =	Y= =	)=	)2 =

Table of answers:

Men's Measures
Range	IQR	Mean	Median	Variance	Standard Deviation

Women's Measures
Range	IQR	Mean	Median	Variance	Standard Deviation

Question 2:

Assume that the male in Table 1 with no education (0) in fact has 9 years of education (need to replace 0 with 9). What effect does this have on the various measures? Are the values increasing, decreasing, or staying the same? Fill in the blanks below with your response.

Measure	Old Values (with 0)	New Values (with 9)	Increase, Decrease, Unchanged	Points
Range				3
IQR				3
Median				3
d) Mean				3
e) Standard Deviation				3

Discuss your findings