Question

Select the correct answer.

Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio
stations
30,31,37,36,31,35, 34
By how many minutes would her median time change if she added another radio station playing 37 minutes?
a. 0.4
b. 0.5
c. 0.45

Answer 1

b. 0.5

Explanation:

Arranging the given data

• 30, 31, 31, 34, 35, 36, 37
• Median is the middle term
• ⇒ Median = 34 minutes

Upon adding 37 to the data set,

• 30, 31, 31, 34, 35, 36, 37, 37
• Median is the arithmetic mean of the middle two data points
• Median = 34 + 35/ 2 = 34.5

Change in Median

• New Median - Original Median
• 34.5 - 34
• 0.5