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Question
the english rock band, the beatles, was formed in liverpool in 1960. there are 12 studio albums that are considered part of their core catalogue. in the article, length of the beatles songs, t. koyama lists the album title, date of release, and number of songs on each album. find the mean, median and mode(s) of the data. the album names and numbers of songs for 10 albums are as follows below. complete parts (a) through (c) below.
click the icon to view the number of songs for each album.
a. find the mean.
the mean is 15.7 songs.
(type an integer or a decimal. round to one decimal place as needed.)
b. find the median.
the median is \boxed{} songs.
(type an integer or a decimal. round to one decimal place as needed.)
table: number of songs
album: revolver (14), a hard day’s night (13), rubber soul (14), with the beatles (14), please please me (14), help! (17), abbey road (30), the beatles (30), beatles for sale (14), sgt. pepper (13)
Step1: List the number of songs
First, we list out the number of songs from the table: 14, 13, 14, 14, 14, 14, 17, 30, 14, 13.
Step2: Sort the data
Next, we sort the data in ascending order: 13, 13, 14, 14, 14, 14, 14, 14, 17, 30.
Step3: Find the median
Since there are 10 data points (an even number), the median is the average of the 5th and 6th values. The 5th value is 14 and the 6th value is also 14. So we calculate the average: $\frac{14 + 14}{2} = 14$.
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