The data set represents the total number of tuba players in each of 11 different school bands.
0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8
what is the lower quartile of the data?

Lower quartile=3

Step-by-step explanation:

We are given a data set which represents the total number of tuba players in each of 11 different school bands.

        0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8

The ith quartile

Q(i) is i(n+1)/4 th term of the data sequence  i=1,2,3

lower quartile means the first quartile i.e. i=1 and here n=11

Q(1)=12/4 th term

i.e. 3 rd term

Hence, lower quartile=3

47 - 90 = 43

43 - 180 = x

x = 137