Questions: Construct a frequency table in APA format for the data set below and respond to the questions concerning the data in your table. ( 25 pts total) - Must include titles and column headings. - Data must be listed by single values. Do NOT create bins combining data points. - Table must include data values (X), frequency (f) for and % of occurrence (P) for each value, as well as the value N. a. For the data point with the highest frequency, X= ? (2 pts) b. The highest quiz grade listed in the table is ? ( 2 pts) c. The raw score mean = ? ( 3 pts) d. The raw score median = ? (3 pts) e. FREQUENCY TABLE: ( 15 pts ) Data Source: Freshman Quiz Grades Raw Scores: [5,6,10,5,7,3,3,4,5,2,2,7,4,1,10,6,8,5,5,2,7,2,4,6,6,7,8,2,5,6,5]

To construct a frequency table in APA format for the given data set, we need to list each unique data value (X), its frequency (f), and the percentage of occurrence (P). We also need to calculate the total number of data points (N).

| X | f | P (%) | |----|----|-------| | 1 | 1 | 3.33 | | 2 | 5 | 16.67 | | 3 | 2 | 6.67 | | 4 | 3 | 10.00 | | 5 | 8 | 26.67 | | 6 | 5 | 16.67 | | 7 | 4 | 13.33 | | 8 | 2 | 6.67 | | 10 | 2 | 6.67 |

N = 30

a. For the data point with the highest frequency, \( X = 5 \) (2 pts)

Explanation: The value 5 appears 8 times, which is the highest frequency in the data set.

b. The highest quiz grade listed in the table is \( 10 \) (2 pts)

Explanation: The highest value in the data set is 10.

c. The raw score mean \( = 5 \) (3 pts)

Explanation: To calculate the mean, sum all the data points and divide by the number of data points (N).

\[ \text{Mean} = \frac{\sum X}{N} = \frac{5+6+10+5+7+3+3+4+5+2+2+7+4+1+10+6+8+5+5+2+7+2+4+6+6+7+8+2+5+6+5}{30} = \frac{150}{30} = 5 \]

d. The raw score median \( = 5 \) (3 pts)

Explanation: To find the median, list the data points in ascending order and find the middle value. Since N = 30 (an even number), the median is the average of the 15th and 16th values.

Ordered data: [1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 10, 10]

The 15th and 16th values are both 5, so the median is 5.

e. FREQUENCY TABLE: (15 pts)

The frequency table provided above includes all necessary components: data values (X), frequency (f), and percentage of occurrence (P) for each value, as well as the total number of data points (N).