The 2010 U. S. Census asked every household to report information on each person living there. Suppose for a sample of 30 households selected, the number of persons living in each was reported as follows. 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3 Compute the mean, median, mode, range, lower and upper quartiles, and interquartile range for these data. (Round the mean to 2 decimal places.) Mean

-- Mean

Step-by-step explanation:

Given

n = 30

Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3

Solving (a): The mean

This is calculated as:

Solving (b): The median

First arrange the given data

Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9

This implies that the median is the average of the 15th and 16th item

Solving (c): The mode

From the given data; 2 has the highest frequency of 11.

So,

Solving (d): The Range

The highest is 9 and the lowest is 1,

So:

Solving (e): Lower (Q1) and Upper (Q3) quartile.

Q1 is calculated as:

-- from the arranged data

Q3 is calculated as:

-- from the arranged data

Solving (f): The interquartile range (IQR)

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