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Masteriza [31]
3 years ago
6

The data to represent average test scores for a class of 24 students includes an outlier value of 89. If the mean, including the

outlier of 89, equals 77, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

The mean would decrease.

Step-by-step explanation:

If the mean score of 24 students is 77.

The total score of 24 students = 24 x 77 = 1848

If the outlier is removed, the mean would become

New total score / number of students = (1848 - 89) / (24 - 1)

1759/23 = 76.5

It can be seen that the mean decreased.

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Vikki [24]

Answer:

x=7

Step-by-step explanation:

35÷5=7 :)))

8 0
3 years ago
Read 2 more answers
Allen practiced the guitar 1 1/4 hours today he practiced 2/3 of an hour before lunch.how long did he practice after lunch
avanturin [10]

Answer:

The answer is 35.

Step-by-step explanation:

1 and 1/4 hours total.  2/3 was performed before lunch. You need to find how long he practiced after lunch. So first you need to find a common denominator (CD) because the denominators aren't the same. When you find the CD for 1 and 1/4 you need to make it an improper fraction (IF) because it's a mixed number. When you do that you get 5 multiplied by 3 and then 4 multiplied by 3 doing this is helping you find the CD of 5/4 which happens to equal 15/12. Next you do the same for 2/3 but this time you multiply 2 by 4 and then 3 by 4 and in this case 2/3 now equals 8/12. Now you can work with finding how much Allen performed after lunch. To find this you need to subtract 15/12-8/12 to find how long he performed after lunch when you do that you get 7/12 hours which is equal to 35 minutes.

6 0
3 years ago
Which of the following equations describe the line shown below? <br><br>Check all that apply.
swat32
Here, first we need to calculate the slope of the line, 
Here, Coordinates = (4, 6) (-1, -4)
m = y2 - y1 / x2-x1
m = 6 + 4 / 4 + 1
m = 10/5
m = 2

Now, Take first coordinate: y - 6 = 2 (x - 4)
Second coordinate: y + 4 = 2 (x + 1)

In short, Your Answers would be Option B & D

Hope this helps!
4 0
4 years ago
(2x + 9x² – 21) = (x +4)
earnstyle [38]

Answer:

Step-by-step explanation:

4 0
3 years ago
What is the standard deviation of the data set?. 14 34 23 50 25 16 48. . a. about 35.6. . b. about 26.8. . c. about 14.5. . d. a
Tcecarenko [31]
The standard deviation of the data set is D. ABOUT 13.4

14, 34, 23, 50, 25, 16, 48

Arrange in ascending order: 14, 16, 23, 25, 34, 48, 50

mean = (14 + 16 + 23 + 25 + 34 + 48 + 50) / 7 = 210/7 = 30

|14 - 30| = 16 ⇒ 16² = 256
|16 - 30| = 14 ⇒ 14² = 196
|23 - 30| = 7 ⇒ 7² = 49
|25 - 30| = 5 ⇒ 5² = 25
|34 - 30| = 4 ⇒ 4² = 16
|48 - 30| = 18 ⇒ 18² = 324
|50 - 30| = 20 ⇒ 20² = 400

(256 + 196 + 49 + 25 + 16 + 324 + 400) / 7 = 1,266/7 = 180.85  variance
√180.85 = 13.45 standard deviation.

4 0
3 years ago
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