Calculate from the following data: (i) Mean (ii) Median (iii) Mode (iv) Variance (v) Standard Deviation

Data: 0 7 12 5 33 14 8 0 9 0 22

Compute the Geometric mean of the following rates of return.

.25 -.10 .50

Calculate the variance of the following

data. 9 3 7 4 1 7 5 4 4.20

Calculate the variance of the following

data. 4 5 3 6 5 6 5 6

Determine the variance and standard deviation of the following sample.

12 6 22 31 23 13 15 17 21

Find the variance and standard deviation of the following sample.

0 -5 -3 6 4 -4 1 -5 0 3

4.27 A set of data whose histogram is bell shaped yields a mean and standard deviation of 50 and 4, respectively.

Approximately what proportion of observations:

a. are between 46 and 54?

b. are between 42 and 58?

c. are between 38 and 62?

Refer to Exercise 4.27 (above). Approximately what proportion of observations:

a. are less than 46?

b. are less than 58?

c. are greater than 54?

A set of data whose histogram is extremely skewed yields a mean and standard deviation of 70 and 12, respectively. What is the minimum proportion of observations that:

a. are between 46 and 94?

b. Are between 34 and 106 ?

Draw the box plot of the following set of data.

9 28 15 21 12 22 29

20 23 31 11 19 24 16 3

An investment you made 5 years ago has realized the following rates of return.

Year 1 2 3 4 5

Rate of Return -.15 -.20 .15 -.08 .50

a. Compute the mean and median of the rates of return.

b. Compute the geometric mean

c. Which one of the three statistics computed in parts (a) and (b) best describes the return over the 5-year period? Explain.

Use the following table information

The Probability Distribution of Colour Television Sets/Receivers per Household:

X 0 1 2 3 4 5

P(x) .012 .319 .374 .191 .076 .028

4(a) What is E(x), the mean number of TV sets per household?

A) 2.480

B) 2.408

C) 2.048

D) 2.084

E) 2.064

4(b) What is the Variance of X (Color TV sets per Household)?

A) 1.701

B) 1.170

C) 1.107

D) 1.710

E) 1.717

8. A certain type of tomato seed germinates 90% of the time. A backyard farmer named Dalma Browne planted 25 seeds.

8(a) What is the probability that exactly 20 seeds germinate ? (Hint: use Table with n=25 and p=.90):

A) 0.5606

B) 0.0646

C) 0.0546

D) 0.6446

E) 0.6604

8(b) What is the probability that 20 or more seeds germinate? A) 0.0009

B) 0.6669

C) 0.9666

D) 0.6969

E) 0.0906

8(c) What is the probability that 24 or fewer seeds germinate ?

A) 0.0092

B) 0.9282

C) 0.9822

D) 0.9828

E) 0.9228

8(d) What is the probability that no seed germinate ?

A) 0.0001

B) 0.0005

9 C) 0.0000

D) 0.0009

E) 0.0010

Descriptive Statistics :

I. Is a body of methods used to draw conclusions or inferences about characteristics of populations based on sample data.

II. deals with methods of organizing, summarizing, and presenting data in a convenient and informative way.

III. uses numerical techniques to summarize data.

IV. Does not use graphical techniques that allow statistics practitioners to present data in ways that make it easy for the reader to extract useful information.

1. Which of the foregoing is/are True?

A) I, II, and III

B) II, III, and IV

C) II, and III

D) III, and IV

Inferential Statistics:

I. deals with methods of organizing, summarizing, and presenting data in a convenient and informative way

II. is a body of methods used to draw conclusions about characteristics of. populations based on sample data

III. to make estimates of parameters based on statistics.

IV. to present data in tabular and/or graphical form only

2. Which of the foregoing is/are True?

A) I, II, III

B) II, and III

C) II, III, and IV

D) III, and IV

Statistical Inference:

I. is the process of making an estimate, prediction, or decision about a population based on sample data.

II. is a body of methods used to draw conclusions about characteristics of. populations based on sample data

III. is the process of making an estimate, prediction, or decision about parameters based on statistics.

IV. deals with methods of organizing, summarizing, and presenting data in a convenient and informative way

3. Which of the foregoing is/are True?

A) I, and III

B) III, and IV

C) II, and IV

D) I only

Confidence Level:

I. is the proportion of times that an estimating procedure will be correct in the long run

II. is the proportion of times that an estimating procedure will be incorrect in the long run

III. is the strength of belief of the statistics practitioner

IV. is always above 95%

4. Which of the foregoing is/are True?

A) I

B) II

C) III

D) IV

Significance Level:

I. is the proportion of times that an estimating procedure will be correct in the long run.

II. is the proportion of times that an estimating procedure will be incorrect in the long run

III. is the strength of disbelief of the statistics practitioner

IV. is always below 5% 3

5. Which of the foregoing is/are True?

A) I

B) II

C) III

D) IV

Population:

I. is the group of all items of interest to a statistics practitioner

II. is the group of all the people in a given area, only

III. all the farms in Antigua and Barbuda

IV. a subset of items of interest to a statistics practitioner

6. Which of the foregoing is/are True?

A) I, and III

B) II

C) III only

D) IV

Sample:

I. is the group of all items of interest to a statistics practitioner

II. is a subset of data drawn from the population of interest

III. is a set of data collected and/or selected from a statistical population by a defined procedure.

IV. is a genus of fruit only eaten by Asians

7. Which of the foregoing is/are True?

A) I

B) II only

C) II, and III

D) IV

8. Examples of Interval data are:

A) Colour of eyes

B) Rating of a teaching method

C) Real numbers (viz. salary, wages, income,..).

D) Brand of mobile phone

9. Examples of Nominal data are:

A) Colour of eyes

B) Rating of a teaching method

C) Real numbers (viz.. salary, wages, income,....)

D) Length ,volume ,area

10. Examples of Ordinal data are:

A) Colour of eyes

B) Rating of a teaching method

C) Real numbers (viz. Salary, Wages, Income,...)

D) Brand of mobile phone