Homework: Homework #1 (1-7)

Make up and draw an example of each of the following distributions. ​(a) symmetrical ​(b) rectangular ​(c) skewed to the right ​(a) Choose the correct answer below.

(a) Symmetrical This distribution is symmetrical since the frequencies on the left and right sides are approximately mirror images of each other.

Make up and draw an example of each of the following distributions. ​(a) symmetrical ​(b) rectangular ​(c) skewed to the right ​(b) Choose the correct answer below.

(b) rectangular This distribution is rectangular since all the values have approximately the same frequency.

Make up and draw an example of each of the following distributions. ​(a) symmetrical ​(b) rectangular ​(c) skewed to the right ​(c) Choose the correct answer below.

(c) skewed to the right This distribution is skewed right since the values pile up on the left.

What is meant by a symmetrical unimodal distribution? (a)

A distribution is a pattern of frequencies for the various values of a variable collected in a study. A symmetric unimodal distribution is a distribution where there is one value with a larger frequency than any other and the pattern of frequencies on the left and right of this larger frequency are mirror images of each other. A distribution is a pattern of frequencies for the various values of a variable collected in a study. In a symmetrical​ distribution, the pattern of frequencies on the left and right side are mirror images of each other. A unimodal distribution has one value clearly having a larger frequency than any other.

What is the meaning of a grouped frequency table?

A grouped frequency table is a frequency table in which the number of individuals​ (frequency) is given for each interval of values. A grouped frequency table is a frequency table in which the number of individuals​ (frequency) is given for each interval of values. A grouped frequency table can make information even more directly understandable than an ordinary frequency table can.​ However, it is possible to lose some information such as the details of the breakdown of frequencies in each interval.

What is meant by a negatively skewed unimodal​ distribution? ​(b)

A negatively skewed unimodal distribution is a distribution in which the left side of the distribution is long and spread out somewhat like a tail. On the right side of the distribution, there is one value that clearly has a larger frequency than any other value. In a negatively skewed​ distribution, the scores pile up on the right side of the middle and are spread out on the left side. A unimodal distribution has one value clearly having a larger frequency than any other.

A particular block of suburban neighborhood has 35 households. The number of children in these households is shown in the accompanying table. Make​ (a) a frequency table and​ (b) a histogram. Then​ (c) describe the general shape of the distribution.

A. Make a frequency table. 11, 5, 5, 6, 2, 4, 2.

A client rates her satisfaction with her vocational counselor as a 3 on a 4-point scale from 1=not at all satisfied to 4=very satisfied. What is the variable?

A. The variable is the client's satisfaction with her vocational counselor A variable is the characteristic that can have different values. In this​ case, the variable is the​ client's satisfaction with her vocational counselor.

What are the possible values? (b)

The possible values are 0-50 The values are the possible number or category that a score can have. In this​ case, the possible values are 0 through 50

What are the score? (c)

The score is 17. The score is a particular value on the variable. In this​ case, the score is 17 because the participant recalls 17 words.

A participant in a cognitive psychology study is given 50 words to remember and later asked to recall as many of the words as she can. She recalls 17 words. What is the​ (a) variable,​ (b) possible​ values, and​ (c) score? part (a)

The variable is the amount of words that the participant can recall. A variable is the characteristic that can have different values. In this​ case, the variable is the number words that the participant recalls.

Which statement below best describes the shape of distribution​ (b)?

Unimodal and symmetrical distribution Since there is one value that has the largest​ frequency, and the left and right side are mirror images of each​ other, this distribution is best described as a unimodal and symmetrical distribution. A unimodal distribution is a frequency distribution with one value clearly having a larger frequency than any other. A symmetrical distribution is a distribution in which the pattern of frequencies on the left and right side are mirror images of each other.

Which statement below best describes the shape of distribution​ (a)?

Bimodal distribution Since there appears to be two approximately equal​ frequencies, this distribution is best described as a bimodal distribution. A biomodal distribution is a frequency distribution with two approximately equal​ frequencies, each clearly larger than any of the others.

A particular block of suburban neighborhood has 35 households. The number of children in these households is shown in the accompanying table. Make​ (a) a frequency table and​ (b) a histogram. Then​ (c) describe the general shape of the distribution. b. Make a histogram of the data. Choose the correct graph below.

C. Number of children: 11, 5, 5, 6, 2, 4, 2.

A client rates her satisfaction with her vocational counselor as a 3 on a​ 4-point scale from 1=not at all satisfied to 4=very satisfied. What are​ (a) the​ variable, (b) the possible​ values, and​ (c) this​ client's score? (c) What is this client's score?

C. The client's score is 3. The score is a particular value on the variable. In this​ case, the score is 3 becuase the client rates her satisfaction with her vocational counselor as a 3.

A client rates her satisfaction with her vocational counselor as a 3 on a​ 4-point scale from 1=not at all satisfied to 4=very satisfied. What are​ (a) the​ variable, (b) the possible​ values, and​ (c) this​ client's score? What are the possible values?

D. The possible values are 1, 2, 3 and 4. The values are the possible number or category that a score can have. In this​ case, the possible values are​ 1, 2,​ 3, and 4.

A particular block of suburban neighborhood has 35 households. The number of children in these households is shown in the accompanying table. Make​ (a) a frequency table and​ (b) a histogram. Then​ (c) describe the general shape of the distribution.

Skewed to the right

Which statement below best describes the shape of distribution​ (c)?

skewed and multimodal distribution Since most of the scores in this distribution seem to be to the left of the​ middle, and two or more values have high​ frequencies, this distribution is best described as a skewed and multimodal distribution. A skewed distribution is a distribution in which the scores pile up on one side of the middle and are spread out on the others​ side; a distribution that is not symmetrical. A multimodal distribution is a frequency distribution with two or more values with high frequencies separated by a lower frequency.