Answer: Choice C. mean > median
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Explanation:
Multiply each measure with their corresponding frequency.
- 8*1 = 8
- 10*3 = 30
- 14*2 = 28
Add up those products: 8+30+28 = 66
Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.
mean = 11
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Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.
Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.
Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.
median = 10
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The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.
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We have the following summary
- mean = 11
- median = 10
- mode = 10
With that in mind, let's go through the answer choices.
- We can see that mean < mode is false, since it should be mean > median, so cross choice A off the list.
- mean = median is also false, so choice B is crossed off as well.
- mean > median is true since 11 > 10 is true. Choice C is the answer. Note how this being true directly contradicts choice B, which is another reason to see why choice B is false.
- median > mode is false because 10 > 10 is false. It should be median = mode. Choice D is crossed off the list.
Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w
subtract 21 on both sides
now solve for 'w'
0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards
Answer:
Step-by-step explanation:
Answer and Step-by-step explanation:
Team: Points. Results fetching points
Arcadia. 3+1. 1 win & 1 draw
Brextone. 3+1. 1 win & 1 draw
Cremore 1+1. 2 draws
Dunross. 3+3. 2 wins
a) Based on the previous data, we can conclude that the number of matches drawn was 4
b) Dunross defeated cremore since cremore did not win any league game and dunross reported no ties
c) Yes, you can get a prediction of the matches with their respective results as follows
Brextone drew with Cremore
Dunross beat Arcadia
Arcadia beat Brextone
Arcadia drew with Cremore
Dunross beat Cremore
