The total number of points scored during 10 championship games is shown below.
61, 46, 56, 69, 41, 39, 52, 37, 55, 44
select the correct five-number summary for this data set. (4 points)
choices attached ! ignore where i clicked the one !

The correct answer is number 1

Step-by-step explanation:

Min corresponding to the lower number in the list, that is 37

Max corresponding to the higher number is the list that is 69

To get the Q1, Median and Q3 you need first short the numbers in ascending way.

Step 1: Short ascending

37, 39, 41, 44, 46, 52, 55, 56, 61, 69

Step 2: The median is number in the medium of the list (after short), in this you have 10 numbers (this is a pair number), so you have two numbers in the center: 46 and 52

37, 39, 41, 44, 46, 52, 55, 56, 61, 69

For this cases, you have to get the average of those numbers. You need to sum those numbers and divide by 2.

46+52 = 49

   2

Step 3: Q1 and Q3 are part of the four quartiles which the data is divided.

Q1 is the values between 0% and 25% of numbers.

Q3 is the values less than 75% of numbers.

To get Q1 you need to apply the next formula:

Q1=K(N/4)

K is the number of the quartil (1 in this case)

N is the numbers of values (10 in this case)

Q1=1(10/4)

Q1=2,5

Lets round up.

So you have to find the number in position 2,5 or 3

37, 39, 41, 44, 46, 52, 55, 56, 61, 69

For Q3 is the same formula, you have to replace k from 1 to number 3.

Q3=3(10/4)

Q3=7,5

Lets find the number in position 7,5 or 8

37, 39, 41, 44, 46, 52, 55, 56, 61, 69

Remember: You need to short your values ascending as the fist step.

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept