Question

The total number of points scored during 10 championship games is shown below.

Answer 1

Answer:

Min = 37

Q1 = 41

Median = 49

Q3 = 56

Max = 69

Option 1 is the answer

Step-by-step explanation:

From this attachment is shows we are to find the Min value, Q1 value, Median value, Q3 value and the Max value from this dataset

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

Before we start finding them let understand briefly what these properties are:

MIN: The min is simply the lowest observation in a dataset

MAX: The max is the highest observation in a dataset

Q1: is the "middle" value in the first half of the rank-ordered data set.

MEDIAN: Median is the middle value in the dataset.

Q3: is the "middle" value in the second half of the rank-ordered data set.

So let start solving

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

Firstly, we will rearrange the dataset in ascending order:

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

a) Min value = 37 smallest observation

b) Q1: To find Q1 we divide our dataset into two equal part and look for the middle value in the first part.

First part: 37, 39, 41, 44, 46,

Second part: 52, 55, 56, 61, 69

Middle value from the first part is 41.

So:

Q1 = 41

c) Median, middle value 46 and 52 since we have two data median = (46+52)/2 = 49

d) Q3: To find Q3 we divide our dataset into two equal part and look for the middle value in the second part.

First part: 37, 39, 41, 44, 46,

Second part: 52, 55, 56, 61, 69

Middle value from the second part is 56.

So:

Q3 = 56

e) Max value = 69 highest observation in the dataset

Therefore

Min = 37

Q1 = 41

Median = 49

Q3 = 56

Max = 69

Answer 2

Answer:

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.