QUESTION IMAGE
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 available 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 \\(\square\\) songs.
(type an integer or a decimal. round to one decimal place as needed.)
number of songs
| album | number of songs |
|---|---|
| a hard day’s night | 13 |
| rubber soul | 14 |
| with the beatles | 14 |
| please please me | 14 |
| help! | 14 |
| abbey road | 17 |
| the beatles | 30 |
| beatles for sale | 14 |
| sgt. pepper | 13 |
Step1: Sum all the number of songs
First, we list out the number of songs for each album: 14, 13, 14, 14, 14, 14, 17, 30, 14, 13.
Now we sum them up: \(14 + 13 + 14 + 14 + 14 + 14 + 17 + 30 + 14 + 13\)
Let's calculate step by step:
\(14+13 = 27\)
\(27+14 = 41\)
\(41+14 = 55\)
\(55+14 = 69\)
\(69+14 = 83\)
\(83+17 = 100\)
\(100+30 = 130\)
\(130+14 = 144\)
\(144+13 = 157\)
Step2: Calculate the mean
The mean is the sum of the data divided by the number of data points. There are 10 albums, so the mean \(\bar{x}=\frac{\text{Sum of data}}{\text{Number of data points}}=\frac{157}{10} = 15.7\)
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15.7