Answer:
s² = 0.7965
s = 0.8925
Step-by-step explanation:
Given the data :
Class limit __ midpoint(x) ___ Frequency
2.1 - 2.7 ______2.4 ________13
2.8 - 3.4 ______3.2 _______ 14
3.5 - 4.1 ______ 3.8 _______ 10
4.2 - 4.8 ______4.5 _______ 6
4.9 - 5.5______ 5.2 ________2
5.6 - 6.2______ 5.9 ________ 1
The midpoint was calculated thus :
(Upper limit + lower limit) / 2
Using a graphing calculator :
The sample variance, s² = 0.7965
The sample standard deviation, s = 0.8925