Frequencies Notes Output Created 27-JAN-2024 22:16:05 Comments Input Data C:\Users\Administrator\Downloads\NCS-data set for assignments (1).sav Active Dataset DataSet1 Filter Weight Split File N of Rows in Working Data File 9282 Missing Value Handling Definition of Missing User-defined missing values are treated as missing. Cases Used Statistics are based on all cases with valid data. Syntax FREQUENCIES VARIABLES=ABUSE gun /FORMAT=NOTABLE /STATISTICS=MEAN MEDIAN MODE /ORDER=ANALYSIS. Resources Processor Time 00:00:00.00 Elapsed Time 00:00:00.01

Statistics Frequency of childhood abuse experiences Threatened others with a gun N Valid 9153 5706 Missing 129 3576 Mean 6.4213 Median 7.0000 Mode 7.00

1. What is the average difference between the values and the mean of your assigned numeric variable?

For example, if the mean weight in a sample is 150 and the SD = 10, then the average difference between the weights and the mean weight is 10 pounds, one SD.

2. What values of the variable are either above or below the mean to a greater-than-average degree?

Given the mean = 150 and the SD = 10, weights between 140 and 160 pounds differ less than average (150-10=140, 150+10=160). Therefore, weights above 160 or below 140 differ from the mean by more than an average amount, one SD.

3. Given the SD, is the mean of your assigned variable accurate? Why or why not?

If the SD is relatively small, then the mean is accurate because most of the scores are similar to the mean. For example, given the SD = 10, the mean weight of 150 is fairly accurate because the majority of the people's weights are between 140 and 160, relatively similar to 150.

In contrast, if the SD =50, instead of 10, then the majority of weights would be between 100 and 200. In this case, the mean of 150 is not very accurate; many people are very light, around 100 pounds, and many people are relatively heavy, around 200 pounds, so the mean of 150 does not describe everyone's weight equally well.