Answer:
Mean = $70.8
Median = $70
Mode = $60
Step-by-step explanation:
From the line plot attached,
Prices of the sunglasses are,
$20, $20, $50, $50, $50, $60, $60, $60, $60, $60, $60, $70, $70, $70, $80, $80, $80, $80, $90, $90, $90, $90, $100, $100, $130
Since mean of the data = Average of the terms
![=\frac{\text{Sum of the terms in the data set}}{\text{Number of terms}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7BSum%20of%20the%20terms%20in%20the%20data%20set%7D%7D%7B%5Ctext%7BNumber%20of%20terms%7D%7D)
= ![\frac{2(20)+3(50)+6(60)+3(70)+4(80)+4(90)+2(100)+130}{(2+3+6+3+4+2+1)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2820%29%2B3%2850%29%2B6%2860%29%2B3%2870%29%2B4%2880%29%2B4%2890%29%2B2%28100%29%2B130%7D%7B%282%2B3%2B6%2B3%2B4%2B2%2B1%29%7D)
= ![\frac{40+150+360+210+320+360+200+130}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B40%2B150%2B360%2B210%2B320%2B360%2B200%2B130%7D%7B25%7D)
= ![\frac{1770}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B1770%7D%7B25%7D)
= $70.8
Median = Middle term of the data set
Since number of terms of the data set are odd (25)
Therefore, median =
[where n = number of terms in the data set]
= ![\frac{25+1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B25%2B1%7D%7B2%7D)
= 13th term
13th term of the data set is $70.
Therefore, Median = $70
Mode = Term repeated the most
In the data set $60 is the term which is repeated the most (6 times).
Therefore, Mode = $60