Answer:
(a) Mean = 42.64
(b) Median= 37
(d)Midrange =39
Step-by-step explanation:
Given data,
60,31,19,55,21,37,94,62,41,15,34
(a)
Mean: Mean is the ratio of all observation to the total number of observation.
![Mean=\frac{\textrn{sum of all observation}}{\textrm{Total number of observation}}](https://tex.z-dn.net/?f=Mean%3D%5Cfrac%7B%5Ctextrn%7Bsum%20of%20all%20observation%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20observation%7D%7D)
![=\frac{60+31+19+55+21+37+94+62+41+15+34}{11}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B60%2B31%2B19%2B55%2B21%2B37%2B94%2B62%2B41%2B15%2B34%7D%7B11%7D)
=42.64
(b)
To find the mean of given data,first we have to arrange the date in ascending order or descending order.
Median: Median is middle term of the observation.
15,19,21,31,34,37,41,55,60,62,94
n = Total number of observation=11
![=(\frac{11+1}{2})^{th}term](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B11%2B1%7D%7B2%7D%29%5E%7Bth%7Dterm)
= 6th term
=37
(c)
Mode is a observation which repeat maximum time.
Here all observations have only one one frequency, so it is multimodel data.
(d)
Midrange: The substraction of first quartile from third quartile.
First quartile: The mid-value of lower half.
Lower portion :15,19,21,31,34
![Q_1=21](https://tex.z-dn.net/?f=Q_1%3D21)
Third quartile: The middle value of upper half.
upper half: 41,55,60,62,94
![Q_3= 60](https://tex.z-dn.net/?f=Q_3%3D%2060)
Mid range = ![Q_3-Q_1](https://tex.z-dn.net/?f=Q_3-Q_1)
=60-21
=39