Questions 37 to 43 refer to the following data, which Represent the waiting time
ID: 3204789 • Letter: Q
Question
Questions 37 to 43 refer to the following data, which Represent the waiting times a sample of customers experienced as they thought to be served in a licenses branch. What was the modal waiting time the customers experienced? What was the median waiting time the customers experienced? What was the mean waiting time the customers experienced? What was the range of waiting times the customers experienced? What was the midrange of the waiting time the customers experienced? What was the variance in waiting times the customers experienced? What was the standard deviation for the waiting times the customersExplanation / Answer
Answer - 37. Modal value refers to the mode in mathematics, which is the most common number in a set of data. In this data set 4 has come 3 times so 4 is Modal.
Answer 38 : The Median is the "middle" of a sorted list of numbers. Sorted data set - 3,4,4,4,6,7,10,12,12,18. This is even data set with 10 data values. Median is therefore average of 5th & 6th data point.
Hence Median = (6+7)/2 = 6.5
Answer 39: Mean = Sum of all data points/number of data points = 80/10 = 8
Answer 40: Range of data set is difference of highest data and lowest data value. Hence Range = 18-3 = 15
Answer 41: Midrange is number that is mid-way between the least value and the greatest value of the data set. Hence Midrange = (3+18)/2 = 10.5
Answer 42: As per definition, Variance is calculated by taking the differences between each data in the set and the mean, squaring the differences (to make them positive) and dividing the sum of the squares by the number of values in the set.
Hence Variance = ((8-3)²+(8-4)²+(8-4)²+(8-4)²+(8-6)²+(8-7)²+(8-10)²+(8-12)²+(8-12)²+(8-18)²)/10 = 23.77778
Answer 43: Standard Deviation = Sqrt (Variance) = Sqrt (23.77778) = 4.876
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