statistic assignment

Note: All of the work can be done by hand. Some of this work can be done SPSS.

1) What is the level of measurement (binary, nominal, ordinal, interval, or ratio) of the following variables?

A) The number of downloads of songs on iTunes

B) The names of the bands that were downloaded

C) The ranking (e.g., 1st, 2nd, 3rd, etc.) on amount the song was played

D) The number of times (e.g., 1 time, 5 times, etc.) the song was played

E) The money earned by the bands from the downloads

F) The gender of each band member

G) Which of the following variables would be most likely to be considered continuous? Defend your answer in 1-2 sentences.

2) Construct a frequency distribution table for the following set of scores (note: this can be done by hand or on SPSS):

2 7 5 3 2 9 6 1 1 2 3 3 2 4 5 2 5 4 6

3) For the following frequency table:

X f

5 1

4 3

3 4

2 5

1 2

A) Find the number of observations in the sample

B) What is the shape of the distribution?

C) Does this distribution tell you if the data are nominal, ordinal, or scale)?

4) For the following scores (Note: this will be more easily done by hand)

44 19 23 17 25 47 32 26 25 30 18 24 24 49 51 24 13 43 27 34 16 52 18 46 25

A) place them in a grouped frequency distribution graph with an interval of 2 points

B) place them in a grouped frequency distribution graph with an interval of 5 points

C) place them in a grouped frequency distribution graph with an interval of 10 points

D) place them in a grouped frequency distribution graph with an interval of 20 points

E) Which graph best shows what is happening in the distribution of numbers. Why? (1-2 sentences needed)

F) In 1-2 sentences describe what is happening in the distribution.

G) What is the percentile rank of a score of 40?

H) What is the score at the 50th percentile?

5) Sketch the following

A) normal distribution, positively skewed distribution, and negatively skewed distribution

B) Can these distributions be binary (Yes/No)?

C) Can these distributions be nominal (Yes/No)?

D) Can these distributions be scale (Yes/No)?

E) For the three distributions, state a variable you believe would produce that distribution

PSYC 6036

Statistics Homework - Central Tendency

Note: All of the work can be done by hand. Some of this work can be done SPSS.

1) Find the mean, median, and mode for the following set of scores:

3 6 7 3 9 8 3 7 5

2) One sample of n=12 scores has a mean of M=7 and a second sample of n=8 scores has a mean of M=12. If the two samples are combined, what is the mean of the combined sample?

3) A sample of n=15 scores has a mean of M=8. A new score of 16 is added to the sample. What is the new mean of the sample? And why do you know, without any calculation, that the mean would increase?

4) A sample of n=7 scores has a mean of M=5. After one new score is added to the sample, the new mean is found to be M=6. What is the value of the new score?

5) A student wants to graduate with a GPA of 3.7. A student has taken 30 hours and has a cumulative GPA of 3.6. The student has 12 hours remaining. What GPA over those 12 hours does the student need to get to a GPA of 3.7?

6) Identify the approximate positions of the mean, median, and mode for the following distributions.

A) normal

B) positively skewed

C) rectangular (somewhat of a trick question)

7) Describe a situation in which you would choose to use the following statistic?

A) mean

B) median

C) mode