Question

#1. One of the two fire stations in a certain town responds to calls in the northern half of the town, and the other fire station responds to calls in the southern half of the town. The following is a random sample of response times (in minutes) for the fire station that responds to calls in the northern half of the town. Please note that the data have been written in order to simplify by-hand calculations. Northern: 3,3,3,3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 12 Sum = 192 Sum of Squared Deviations = 197.2 Blanks #1-5: Complete the table below by filling in the blanks as numbered. You may use your calculator or the sums and sums of squared deviations to do your work. If any rounding is necessary, do so to two decimal places. Do not include any units. Northern Mean Blank #1 Median Blank #2 Standard Deviation Blank #3 Blank #14 Range IQR Blank #5

Answer 1

Mean = 192/30 = 6.4

Median = (5 + 6)/2 = 5.5

Standard deviation = $\sqrt{\frac{SS}{n - 1}}$

$= \sqrt{\frac{197.2}{29}} = 2.61$

Range = 12 - 3 = 9

Q1 = 4

Q3 = 8

IQR = Q3 - Q1 = 8 - 4 = 4