Question

Identify the median for the following distribution of

of college students:
CLASS STANDING f
Graduate 250
Senior 300
Junior 350
Sophomore 400
Freshman 700
2000

a) freshman
b) sophomore
c) junior
d) senior

Answer 1

The correct answer is option c) junior. The median for the given distribution of college students by class standing is junior, which is found by listing the class standings in order and identifying the middle value.

Step-by-step explanation:

To identify the median, you list the class standings in order of their frequency and find the middle value. Since the total number of students is 2000, the median will be the standing of the 1000th student when the standings are listed from lowest to highest. Here’s how the cumulative frequency adds up:

• 700 Freshman
• 1100 Freshman + Sophomore (700 + 400)
• 1450 Freshman + Sophomore + Junior (700 + 400 + 350)
• 1750 Freshman + Sophomore + Junior + Senior (700 + 400 + 350 + 300)
• 2000 Freshman + Sophomore + Junior + Senior + Graduate (700 + 400 + 350 + 300 + 250)

Since the 1000th student falls within the Junior class standing, this is the median class standing of the distribution.