For each item, identify the most appropriate measure of central tendency (mean,

Question

For each item, identify the most appropriate measure of central tendency (mean, median, or mode) that should be used to describe the data based on its scale of measurement. Please assume that any continuous variables are normally distributed.

Gender (choose one): 1. Male 2. Female

Race/ethnicity (choose one): 1. African American 2. Asian 3. Hispanic 4. White 5. Other (Not Apparent)

Approximate age (choose one): 1. Under 15    2. 15-24    3. 25-34    4. 35-44     5. 45-59    6. 60-69     7. 70 and older

Speed of vehicle _______ (miles per hour)

Result of stop (choose one): 1. Verbal warning 2. Written warning 3. Citation issued 4. Arrest made

Whom was action taken against?: 1. Driver 2. Passenger(s)

Explanation / Answer

Gender (choose one): 1. Male 2. Female

, it has to be mode , as the value are male and females which are categorical in nature and cant be measured on a numeric scale

Race/ethnicity (choose one): 1. African American 2. Asian 3. Hispanic 4. White 5. Other (Not Apparent)

again mode , as this is a categorical variable that takes value for ethinicity

Approximate age (choose one): 1. Under 15    2. 15-24    3. 25-34    4. 35-44     5. 45-59    6. 60-69     7. 70 and older

again mode, as we are deviding the age into age-groups . these age groups would serve as a categorical variable. However , it must be noted that if we were dealing only with the age figures then we would have gone for median as the measure of central tendency as age data is usually skewed and hence median becomes the best measure of the central tendency

Speed of vehicle _______ (miles per hour)

Mean for speed, as speed is measured on a numeric scale hence we can use mean as the measure of the centrl tendency .

Result of stop (choose one): 1. Verbal warning 2. Written warning 3. Citation issued 4. Arrest made

again mode , as the field is categorical in nature

Whom was action taken against?: 1. Driver 2. Passenger(s)

, again mode as the variable is categorical in nature.

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