Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App Chapter 1: Q. T1.4. (page 85)
Realtors collect data in order to serve their clients more effectively. In a recent week, data on the age of all homes sold in a particular area were collected and displayed in this histogram.
Which of the following could be the median age?
a. 19 years
b. 34 years
c. 24 years
d. 39 years
e. 29 years
Short Answer
The correct option is (c)
(c) 24
Step by step solution
Step 1. Given information.
a. 19 years
b. 34 years
c. 24 years
d. 39 years
e. 29 years
Step 2. The best option.
Let us first calculate the frequency associated with each bar in the histogram, which is given by the height of the bar.
| Age of home (yr) | Frequency |
| 5<10 | 7 |
| 10<15 | 8 |
| 15<20 | 9 |
| 20<25 | 7 |
| 25<30 | 6 |
| 30<35 | 3 |
| 35<40 | 4 |
| 40<45 | 2 |
| 45<50 | 1' |
| 50<55 | 1 |
| 55<60 | 0 |
| 60<65 | 3 |
| 65<70 | 0 |
| 70<75 | 1 |
| Total | 7+8+9+7+6+3+4+2+1+1+0+3+0+1=52 |
The median is the middle value of the sorted data set. The data set contains 52 data values and thus the median will be between the middle between the 26th and 27th data value. Since 7+8+9 = 22 (sum frequency first three bars) and 7+8+9+7= 31 (sum frequency first four bars) and 22 < 26 <27 <31, the median has to be at the fourth bar and thus the median needs to be between 20 years and 25 years.
As a result:
24
Over 30 million students worldwide already upgrade their learning with Vaia!
