Use a venn diagram

in a school of 343 students. 115 students are in music. 197 students are on sport teams and 69 students participate in both activities. how many students are involved in either music or sport? how many students are not involved in either sport or music.

243 students are involved in either sports or music whereas 100 are not

involved in either of it.

Step-by-step explanation:

No. of students who are in music = 115

No. of students who are in sports = 197

No. of students who are in both activities = 69

So, no. of students who are involved either in sports or music,

= (115 + 197 - 69)

=243

So, no. of students who are not involved in either sports or music,

= (343 - 243)

=100

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .