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e following situations, tell which measure of central temdency is appropriate an

ID: 3068947 • Letter: E

Question

e following situations, tell which measure of central temdency is appropriate and elassifedudy on prestige, an investigator sat on a cormer in a high-income residential area 1. For each of the automobiles according to color: black. gray, white, silver, green, and other, behavior, an investigator pretended to have locked himselt out of his car were classified on a scale of 1 (very helpfal) to 2 (helpful), 3 (slightly b. In a ersby who epful), 4 (neutral), and 5 (discourteous) of household income in a city, the following income categories were established: So 000 515,001$30,000, $30,001-$45,000, S45,001-$60,000, 560,001-$75,000, 575,001 c. In a study house $90,000, and $90,001 and above s15 a study of per capita income in a city, the following income catergories were established: so -$15,000, $15,001 $30,000, d. In a study of $60,000, $60,001 $75,000, $75,001 $30,001-$45,000. $45,001 $90,000, S $150,000 390,001- $105,000, $105,001-$120,000, $120,001- $135,000, and $135,001 - 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 lew scores were above this, and a few were below 2. Given the following set of data, calculate the mode, median, and mean: 36 34 26 35 315 35 25 26 26 Which measure of central tendency is most appropriate for these data? Why?

Explanation / Answer

1(a)

Here data is color of automobiles. That is data is categorical. So appropriate measure of central tendency will be mode.

(b)

Here we have ranks of categories. So appropriate measure of central tendency will be mode.

(c)

The distribution of household income will not be symmetric. It may have some outliers also. So appropriate measure of central tendency will be median.

(d)

The distribution of per capita income may or mat not be symmetric. So appropriate measure of central tendency will be median.

(e)

Here data is categorical. So appropriate measure of central tendency will be mode.

(f)

Distribution of scores is symmetric. So appropriate measure of central tendency will be mean.