148k views
4 votes
What are the lower, middle, and upper quartiles of this data? 122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77

1 Answer

3 votes

Answer:

The lower, middle, and upper quartiles of this data are 80.5, 98 and 118 respectively.

Explanation:

The given data set is

122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77

Arrange the data set in ascending order.

71, 71, 77, 84, 85, 98, 98, 104, 111, 114, 122, 147, 164

Divide the data set in equal parts.

(71, 71, 77, 84, 85, 98), 98, (104, 111, 114, 122, 147, 164)

Now divide each parenthesis in two equal parts.

(71, 71, 77), (84, 85, 98), 98, (104, 111, 114), (122, 147, 164)

Lower quartile is


Q_1=(77+84)/(2)=80.5

Middle quartile is


Median=Q_2=98

Upper quartile is


Q_3=(114+122)/(2)=118

Therefore, the lower, middle, and upper quartiles of this data are 80.5, 98 and 118 respectively.

User Ibread
by
8.6k points

Related questions