Question

Calculating the five number summary​

Answer 1

2) 43

4) 65

Explanation:

The first and third quartile of the data can be found by calculating the median of the first and second halves of the data. For example, the first quartile of the data can be calculated thus:

40,41,43,50,56

41,43,50

43

and the third quartile thus:

62,63,65,78,97

63,65,78

65

Hope it helps <3

Answer 2

A) 43

B) 65

Explanation:

A) First Quartile =
`(N+1)(1)/(4)`

Where N is the number of observations

=> 1st Quartile = (11+1)(1/4)

=> 1st Quartile = (12)(1/4)

=> 1st Quartile = 3rd number

=> 1st Quartile = 43

B) Third Quartile =
`(N+1)(3)/(4)`

=> 3rd Quartile = (11+1)(3/4)

=> 3rd Quartile = (12)(3/4)

=> 3rd Quartile = 3*3

=> 3rd Quatile = 9th number

=> 3rd Quartile = 65