Question

Hey will you help me!! please.

The data represents the amount of home runs hit by 9 players on a baseball team {20, 7, 18, 8, 2, 21, 32, 10, 4} What is the five-number summary?
A) Minimum = 2 Q1= 5.5 Median = 10 Q3= 20.5 Maximum = 32
B) Minimum = 2 Q1= 10 Median = 18 Q3= 21 Maximum = 32
C) Minimum = 2 Q1= 7 Median = 10.5 Q3= 20 Maximum = 32
D) Minimum = 2 Q1= 8 Median = 10 Q3= 18 Maximum = 32

Answer 1

A.

Explanation:

Minimum is 2 since it's the smallest amount of homeruns. The median is 10 because when you line the numbers up to least to greatest it should look like this [2,4,7,8,10,18,20,21,32]. You cross out one number from each side which will lead you to getting 10. The Q1 is 5.5 because it's the middle value in the first half of the data set. You do the same method as you did on finding the median, but in this case the total numbers are even ([2,4,7,8]). That's why you have to take both the middle number which are 4 and 7 and add them. It will equal 11, but you have to divide them by 2 to find the average of that set of data. The answer would be 5.5. The anwer to Q3 has the same steps, but we'll be using the second half of the data set. The data set would look like this, [18, 20, 21, 32]. This data set also is an even number, so it will be like this (20+21)/2= 20.5. Q3=20.5. Lastly, the maximum is 32 because it's the highest number of runs. Hope this helps!