Question

answer the questions below. (a) the 9 participants in an experiment had the following reaction times (in milliseconds): 778, 793, 799, 808, 815, 818, 820, 826, 1119. which measure should be used to summarize the data? mean median mode (b) a car dealer has used cars for sale for the following amounts: $3400, $3500, $3700, $3800, $3900, $4000, $4100, $4200, $4300, $4500. which measure should be used to summarize the data? mean median mode (c) a data set shows the age of each resident at lakeview retirement home. which measure gives the age shared by the most residents? mean median mode

Explanation:

Step1: Analyze data in (a)

The data set 778, 793, 799, 808, 815, 818, 820, 826, 1119 has an out - lier (1119). Mean is affected by outliers, mode is not suitable as no value repeats, so median is the best measure.

Step2: Analyze data in (b)

The data set $3400, $3500, $3700, $3800, $3900, $4000, $4100, $4200, $4300, $4500 is relatively symmetric without extreme outliers. Mean can represent the central tendency well.

Step3: Analyze data in (c)

The question asks for the age shared by the most residents. By definition, mode is the value that appears most frequently in a data set.

Answer:

(a) Median
(b) Mean
(c) Mode