Question

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? 1 3 4 6

Answer 1

Answer

3

Explanation

When looking for the quartiles of any data, you first arrange the data in ascending order.

The lower quartile of a data is the median of the lower half of that data.

The data in the question is already in ascending order.

The lower quartile is the value that is in (1/4)th position.

1/ 4 × 11 = 2.75th position.

This digit is between 2nd position and 3rd position but nearer 3rd position.

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

So we take the lower quartile to be in the 3rd position.

Answer is 3.

Answer 2

Data set: 0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8

minimum : 0
1st quartile: 2
median: 4
3rd quartile: 6
maximum: 8

mean: 4
mean average deviation: 1.64
interquartile range: 4
range: 8