1. What two mathematical characteristics of the mean were covered in this section?
2. For each of the following situations, tell which measure of central tendency is appropriate and why
a. As part of a study on prestige, an investigator sat on a corner in a high-income residential area and classified passing automobiles according to color: black, gray, white, silver, green, and other.
b. In a study of helping behavior, an investigator pretended to have locked himself out of his car. Passersby who stopped were classified on a scale of 1 to 5 as (1) very helpful, (2) helpful, (3) slightly helpful, (4) neutral, and (5) discourteous.
c. In a study of household income in a city, the following income categories were established: $0-$20,000, $20,001-$40,000, $40,001-$60,000, $60,001-$80,000, $80,001-$100,000, and $100,001 and more.
d. In a study of per capita income in a city, the following income categories were established: $0-$20,000, $20,001-$40,000, $40,001- $60,000, $60,001-$80,000, $80,001-$100,000, $100,001-$120,000, $120,001-$140,000, $140,001-$160,000, $160,001-$180,000, and $180,001-$200,000.
e. First admissions to a state mental hospital for 5 years were classified by disorder: schizophrenic, delusional, anxiety, dissociative, and other.
f. A teacher gave her class an arithmetic test; most of the children scored in the range 70-79. A few scores were above this, and a few were below.