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A group of people were timed holding their breath for as long as possible. The times, t seconds, are summarised by n=14 Σt = 686 Σ² = 36 224 (a) Calculate the mean and standard deviation for these times. Two more people were then also timed holding their breath. When the times for these two people were included in the group, the mean stayed the same and the standard deviation decreased by approximately 0.49 seconds. (b) Find the two times that were added to the data set.

A group of people were timed holding their breath for as long as possible. The times, t seconds, are summarised by n=14 Σt = 686 Σ² = 36 224 (a) Calculate the mean and standard deviation for these times. Two more people were then also timed holding their breath. When the times for these two people were included in the group, the mean stayed the same and the standard deviation decreased by approximately 0.49 seconds. (b) Find the two times that were added to the data set.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Please answer part (a) and part (b)

2 A group of people were timed holding their breath for as long as possible. The times, t seconds, are summarised by n = 14 Σt = 686 Στ’ = 36 224 (a) Calculate the mean and standard deviation for these times. Two more people were then also timed holding their breath. When the times for these two people were included in the group, the mean stayed the same and the standard deviation decreased by approximately 0.49 seconds. (b) Find the two times that were added to the data set.
Transcribed Image Text:2 A group of people were timed holding their breath for as long as possible. The times, t seconds, are summarised by n = 14 Σt = 686 Στ’ = 36 224 (a) Calculate the mean and standard deviation for these times. Two more people were then also timed holding their breath. When the times for these two people were included in the group, the mean stayed the same and the standard deviation decreased by approximately 0.49 seconds. (b) Find the two times that were added to the data set.
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