E N D
EXAMPLE 1 Add a constant to data values Astronauts The data set below gives the weights (in pounds) on Earth of eight astronauts without their space suits. A space suit weighs 250 pounds on Earth.Find the mean, median, mode, range, and standard deviation of the weights of the astronauts without their space suits and with their space suits. 142, 150, 155, 156, 160, 160, 166, 175
SOLUTION EXAMPLE 1 Add a constant to data values
The data set below gives the winning distances (in meters) in the men’s Olympic triple jump events from 1964 to 2004. Find the mean, median,mode, range, and standard deviation of the distances in meters and of the distances in feet. (Note: 1 meter 3.28 feet.) EXAMPLE 2 Multiply data values by a constant OLYMPICS 16.85, 17.39, 17.35, 17.29, 17.35, 17.26, 17.61, 18.17, 18.09, 17.71, 17.79
SOLUTION EXAMPLE 2 Multiply data values by a constant
1. Astronauts: The Manned Maneuvering Unit (MMU) is equipment that latches onto an astronaut’s space suit and enables the astronaut to move around outside the spacecraft. The MMU weighs about 300 pounds on Earth. Find the mean, median, mode, range, and standard deviation of the weights of the astronauts in Example 1 with their space suits and MMUs. for Examples 1 and 2 GUIDED PRACTICE 142, 150, 155, 156, 160, 160, 166, 175
for Examples 1 and 2 GUIDED PRACTICE SOLUTION 708 Mean 708 Median 710 Mode 33 Range Standard deviation 9.3
SOLUTION 19.11 Mean 18.96 Median What If?In Example 2, find the mean, median, mode, range, and standard deviation of the distances in yards. (Note: 1 meter 1.09 yards.) 18.91 Mode 1.44 Range Standard deviation 0.40 for Examples 1 and 2 GUIDED PRACTICE 2.