The hourly earnings (in dollars) for a sample of 25 railroad equipment manufacturers are:15.60 18.7514.60 15.8014.3513.90 17.5017.5513.8014.20 19.05 15.35 15.20 19.45 15.95 16.50 16.30 15.2515.05 19.10 15.20 16.22 17.75 18.40 15.25Find the median and the mode(s)(if they exist) of the data. What is the interquartile range

Step-by-step explanation:

Given

Solving (a): The median and the mode

First, we sort the data.

The median position is:

The 13th item is: 15.80

Hence:

The modes are:

--- they both have frequency of 2 while others occur once

Solving (b): The interquartile range

This is calculated as:

Since the median is at the 13th position, Q1 is:

The 7th item is: 15.20

Similarly, Q3 is:

The 7th item is: 17.55

So:

Hence,

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,