Math

QuestionFind which measures of central tendency (mean, median, mode) do not exist for the waiting times: 1, 3, 3, 5, 5, 5, 6, 12, 12, 12, 12, 13, 15, 19, 23, 27, 31, 37.

Studdy Solution

STEP 1

Assumptions1. The waiting times of18 customers at Ellerton Bank are given as1,3,3,5,5,5,6,12,12,12,12,13,15,19,23,27,31,371,3,3,5,5,5,6,12,12,12,12,13,15,19,23,27,31,37 . We need to determine which measures of central tendency do not exist for this data set. The measures of central tendency we are considering are mean, median, mode.

STEP 2

The mean is calculated by adding up all the numbers in the data set and then dividing by the count of numbers in the data set. Since we have a list of numbers, we can calculate the mean.

STEP 3

The median is the middle number in a sorted, ascending or descending, list of numbers. If there is an even number of observations, the median will be the average of the two middle numbers. Since we have a list of numbers, we can find the median.

STEP 4

The mode is the number that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Since we have a list of numbers, we can find the mode.

STEP 5

Given that we can calculate all three measures of central tendency (mean, median, and mode) for this data set, the answer is that none of these measures of central tendency do not exist for this data set.

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