Download (1) The mean and median are two ways to estimate the "average" of

Bio 260 (Sp17) Assignment #2 Form C, Due Feb 2
Name:_________________
Provide answers only in space provided, do not attach additional sheets.
Write clearly to ensure full credit for your answers. Write the first letter of your surname in box above.
(1, 1 pt ea) Provide the summary statistics for the following set of numbers below:
(Note: if the answer is not an integer, you must provide the value to three decimal places)s
21, 24, 24, 29, 24, 28, 11, 16, 42, 33, 22, 20, 23, 19
Mean =
24
Range =
31
Pop. Variance =
52.429
Median =
24
IQR =
8
Pop. standard deviation =
7.241
Q1 =
20
Mid-range =
26.500
Sample variance =
56.462
Q3 =
28
Mode =
24
Sample standard deviation =
7.514
Skewness (population) =
0.718
Skewness (sample) =
0.692
Kurtosis (population) =
3.795
Kurtosis (sample) =
3.524
Excess kurtosis (population) =
0.795
Excess kurtosis (sample) =
0.524
Coefficient of variation (population) =
30.170
Coefficient of variation (sample) =
31.309
(2, 3 pts ea) Verbally describe the shape of the distribution based upon your calculated skewness and excess kurtosis:
(a) First, describe it using the appropriate technical terms from the following list:
platykurtic, mesokurtic, leptokurtic, skewed left, symmetric, skewed right.
The data is skewed right and leptokurtic
(b) Second, describe it verbally like you would to a liberal arts major.
The data has a distribution that is pointier than the bell-curve (normal distribution) with a longer tail
to the right than to the left.
(3, 3 pts ea) The mean and median both estimate the "average" of a sample. In 2013 the US mean and median
household incomes were approximately $73,767 and $52,250 respectively.
(a) What does the difference between the mean and median imply for the distribution of
incomes in the US? (Use the term "skew" correctly in your answer)
The distribution is skewed right, there are a few people making a TON of money
while most people make less than the mean
(b) Which measure do you think is more relevant and why?
Two answers are valid. You can argue that the mean makes more sense because multiplying it by the
number of people gives the size of the overall economy. You could also argue that the median is better
because it gives you a sense of what the income of a "typical" person.
Bio 260 (Sp17) Assignment #2 Form C, Due Feb 2
Name:_________________
Provide answers only in space provided, do not attach additional sheets.
Write clearly to ensure full credit for your answers. Write the first letter of your surname in box above.
(4, 3 pts ea) PUT THE CORRECT ANSWER CHOICE ON THE BLANK TO THE RIGHT
Use the following information for the next two questions:
PERCENT CHANGE IN DOLLAR
AMOUNT OF SALES IN CERTAIN
RETAIL STORES FROM 1977 TO 1979
Store
P
Q
R
S
T
From 1977
to 1978
+16
+13
+18
+12
+15
From 1978
to 1979
-7
-7
-7
-5
-5
(a) In 1979, for which of the stores was the dollar amount of sales greater
than that of any of the others shown?
(A) Store P
(B) Store Q
(C) Store R
(D) Store S
________
(E) It cannot be determined from the information given.
(b) In store R, the dollar amount of sales for 1979 was approximately what
percent of the dollar amount of sales for 1977?
(A) 105.1%
(B) 106.4%
(C) 107.9%
(D) 109.3%
________
(E) 109.7%
Use the following information for the next four questions:
PROFILE OF CONGRESS IN YEAR X
House of
Representatives
Party
292
Democratic
143
Republican
435
TOTAL
Gender
418
Male
17
Female
Age
27
Youngest
77
Oldest
48
Mean
Religion
255
Protestant
107
Catholic
18
Jewish
4
Mormon
51
Other
Ethnic Group
17
Black American
2
Asian American
4
Hispanic American
Senate
House of
Representatives
62
38
100
215
81
45
14
22
24
100
0
34
80
54
2
1
0
6
69
12
5
3
11
25
Senate
Profession
Lawyer
Bus. Exec.
or banker
Educator
Farmer/rancher
Career Gov't
Journalist or
Comm. Exec.
Physician
Veterinarian
Geologist
Worker/skilled
Tradesperson
Other
63
15
6
6
0
4
0
1
2
0
3
1
3
0
(c) In the Senate, if 33 male members were replaced by 33 female members,
the ratio of male members to female members would be
(A) 4 to 1
(B) 3 to 1
(C) 3 to 2
(D) 2 to 1
(E) 1 to 1
(d) Approximately what percent of the members of Congress are lawyers?
(A) 58%
(B) 63%
(C) 56%
(D) 49%
(C) 69
(D) 31
(C) 3
(D) 0
________
(E) 21
(f) If all lawyers and all women in the House of Representatives vote for the passage of a bill,
how many more votes will be needed for a majority?
(A) 435
(B) 220
________
(E) 52%
(e) If 5 senators are Catholic Democrats, how many senators are neither Catholic nor Democratic?
(A) 79
(B) 74
________
(E) It cannot be determined from the information given.
________