A social psychologist asked 15 college students how many times they "fell in love" before they were 11 years old. The numbers of times were as follows:

2,0,6,0,3,1,0,4,9,0,5,6,1,0,2

make (a) a frequency table and (b) a histogram. Then describe the general shape of the distribution.

I am having trouble coming up with the how to plot the information as well as making a histrogram graph.

Well, if you're having trouble with plotting the information and making a histogram, you could always try interpreting the data using something a bit more... unconventional. Like, say, interpretive dance? No? Okay, I guess I'll stick to the normal way then.

(a) To create a frequency table, you simply need to count how many times each number appears in the data set. Let me do the counting for you:

0: 4 times
1: 2 times
2: 2 times
3: 1 time
4: 1 time
5: 1 time
6: 2 times
9: 1 time

So your frequency table would look something like this:

Times "Fell in Love" (x) Frequency (f)
-------------------------------------------------------
0 4
1 2
2 2
3 1
4 1
5 1
6 2
9 1

(b) Now for the histogram. This is a graphical representation of the frequency table. You'll want to make a bar graph where the x-axis represents the number of times the students fell in love, and the y-axis represents the frequency.

So, on the x-axis, you'd have values ranging from 0 to 9 (since those are the possible values in your data set). Then, for each value, you'd create a bar whose height corresponds to the frequency of that particular value.

Now, imagine all those bars dancing to your favorite song. Bop, bop, bop! Alright, enough dancing, let's get back to serious business.

The general shape of the distribution of your data can be described as positively skewed, because most of the data is concentrated on the left side and there are a few outliers on the right side. It's like those students who fell in love a lot are real overachievers, while the majority of the students didn't fall in love as frequently. So, it's a bit like a lopsided heart... or maybe a clown nose. Either way, it's pretty funny!

Hope that helps! And remember, statistics doesn't have to be boring. Let humor be your compass!

To create a frequency table and histogram for the given data, follow these steps:

(a) Frequency table:
1. Begin by listing all the unique values in ascending order: 0, 1, 2, 3, 4, 5, 6, 9.
2. Count the frequency (number of occurrences) of each value in the data set. The frequency for each value is as follows:
- 0: 4 times
- 1: 2 times
- 2: 2 times
- 3: 1 time
- 4: 1 time
- 5: 1 time
- 6: 2 times
- 9: 1 time

So, the frequency table would look like this:

Value | Frequency
---------------------
0 | 4
1 | 2
2 | 2
3 | 1
4 | 1
5 | 1
6 | 2
9 | 1

(b) Histogram:
To create a histogram, you need to plot the values on the x-axis (horizontal axis) and the frequency on the y-axis (vertical axis). Here's how you can proceed:

1. Determine the range of the data. In this case, the values range from 0 to 9.
2. Divide the range into equally spaced intervals or bins. You can choose a bin width of 1 in this case.
3. On the x-axis, label each bin to represent the intervals. In this case, from 0 to 9.
4. On the y-axis, denote the frequency for each interval.
5. Plot a bar above each interval, with a height equal to the frequency for that interval.

The resulting histogram should look something like this:

Frequency
^
|
4 |
3 |
2 | x
1 | x x x
0 | x x x
----------
0 1 2 3 4 5 6 7 8 9

(c) Description of the general shape: Based on the histogram, the distribution appears to be skewed to the right (positively skewed). This means that there are more values towards the lower end of the range (0 to 2) and fewer values towards the higher end (7 to 9).

To create a frequency table and a histogram for this data, follow these steps:

(a) Frequency Table:
1. First, organize the data in ascending order:
0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 6, 9
2. List all unique values and their frequency (the number of times they occur) in a table. Count each value and record the count in the frequency column.

Value | Frequency
-------|----------
0 | 4
1 | 2
2 | 2
3 | 1
4 | 1
5 | 1
6 | 2
9 | 1

(b) Histogram:
1. On a graph paper or in a spreadsheet program, create a horizontal and vertical axis. The horizontal axis represents the number of times students fell in love (values), and the vertical axis represents the frequency (count).
2. Use the frequency table to plot the bars. For each unique value, draw a bar with a height equal to its corresponding frequency.
For example, for value 0 with a frequency of 4, draw a bar with a height of 4.
3. Continue plotting bars for each unique value until you have represented all values.

General Shape of the Distribution:
To describe the general shape of the distribution, examine the histogram. The shape can be described as follows:
- The distribution is positively skewed or right-skewed because the majority of values are concentrated at lower values (0, 1, 2). Only a few values are higher (3, 4, 5, 6, 9).
- It is not a symmetric distribution because there is a long tail towards the right side.
- The distribution appears to be unimodal since it has only one main peak around the value of 0.
- The distribution is also heavily influenced by the number 0 since it appears multiple times, indicating a significant number of students who reported not falling in love before the age of 11.

Either way, make a scale of 10 intervals on the x axis. Find the frequency of each score on the y axis. Here are Google results for "frequency distribution histogram."

http://www.google.com/search?client=safari&rls=en&q=frequncy+distribution+histogram&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.