Question

The total number of points scored during 10 football games are shown below 45,47,23,30,27,31,21,31,22,38 select the correct five-number summary from the data set

Answer 1

Answer:

$Min=21, Q_1=23, M=30.5, Q_3=38,Max=47$.

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, $Q_1=23$

Median, $M=\dfrac{30+31}{2}=30.5$

Third quartile, $Q_3=38$

Maximum value = 47

Therefore, the five-number summary for the given data set is $Min=21, Q_1=23, M=30.5, Q_3=38,Max=47$.