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 (c) describe the general
shape of the distribution.

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Arrange scores in order of value and tally the frequency of each score for the frequency table.

0 = 5
1 = ?
2 = ?
3 = ?
4 = ?
5 = ?
6 = ?
9 = ?

We cannot reproduce a histogram here. However, even the frequency table should give you an idea of the relative shape (normal, positively skewed, negatively skewed or bimodal).

a) To create a frequency table, we need to list the unique values from the given data set along with their respective frequencies.

The numbers of times the students fell in love before they were 11 years old are: 2, 0, 6, 3, 1, 4, 9, 5.

Now, let's determine the frequency of each unique value:

Value: 0, Frequency: 4
Value: 1, Frequency: 2
Value: 2, Frequency: 2
Value: 3, Frequency: 1
Value: 4, Frequency: 1
Value: 5, Frequency: 1
Value: 6, Frequency: 2
Value: 9, Frequency: 1

b) To create a histogram, we need to plot the frequency of each value on a graph.

First, let's create the x-axis labels representing the unique values: 0, 1, 2, 3, 4, 5, 6, 9.

Next, we'll create the y-axis representing the frequency values: 4, 2, 2, 1, 1, 1, 2, 1.

Using these values, we can now create a histogram by plotting these points on a graph.

c) The general shape of the distribution can be determined by observing the histogram.

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

Step 1: Organize the data in ascending order.
The given dataset is as follows:
2, 0, 6, 0, 3, 1, 0, 4, 9, 0, 5, 6, 1, 0, 2

Sorting it in ascending order gives:
0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 6, 9

Step 2: Create a frequency table.
In a frequency table, we determine the frequency of each unique value in the dataset. Here's the frequency table for the given data:

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

Step 3: Create a histogram.
A histogram is a visual representation of the data using bars to represent each value's frequency. Here's the histogram for the given data:

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0 1 2 3 4 5 6

Step 4: Describe the general shape of the distribution.
The general shape of the distribution in this case is positively skewed. This means that the data is concentrated more towards the lower values, and there are a few higher values that extend towards the right.