- Mean, Median, and Mode
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- Mode of a Data Set
- Finding the Mode and Range of a Data Set
- Finding the Mode and Range from a Line Plot
- Mean of a Data Set
- Understanding the Mean Graphically: Two bars
- Understanding the Mean Graphically: Four or more bars
- Finding the Mean of a Symmetric Distribution
- Computations Involving the Mean, Sample Size, and Sum of a Data Set
- Finding the Value for a New Score that will yield a Given Mean
- Mean and Median of a Data Set
- How Changing a Value Affects the Mean and Median
- Finding Outliers in a Data Set
- Choosing the Best Measure to Describe Data
Finding the Value for a New Score that will yield a Given Mean Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Finding the Value for a New Score that will yield a Given Mean. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
21 , 1 , 16 , 8 , 19; New mean = 16
Answer : C
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(21 + 1 + 16 + 8 + 19 + x )}{6}$ = 16
= 65 + x = 96; x = 96 – 65 = 31.
Step 3:
Required new score = 31
12 , 15 , 18 , 13 , 6 , 14; New mean = 15
Answer : A
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(12 + 15 + 18 + 13 + 6 + 14 + x )}{7}$ = 15
= 78 + x = 105; x = 105 – 78 = 27
Step 3:
Required new score = 27
12 , 12 , 4 , 12 , 2 , 12; New mean = 12
Answer : D
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(12 + 12 + 4 + 12 + 2 + 12 + x )}{7}$ = 12.
= 54 + x = 84; x = 84 – 54 = 30
Step 3:
Required new score = 30
8 , 12 , 8 , 10 , 18 , 12 , 4; New mean = 11
Answer : B
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(8 + 12 + 8 + 10 + 18 + 12 + 4 + x )}{8}$ = 11
= 72 + x = 88; x = 88 – 72 = 16
Step 3:
Required new score = 16
17 , 7 , 2 , 15 , 6 , 19 , 20 , 15 , 18; New mean = 14
Answer : A
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(17 + 7 + 2 + 15 + 6 + 19 + 20 + 15 + 18 + x )}{10}$ = 14
= 119 + x = 140; x = 140 – 119 = 21
Step 3:
Required new score = 21
21 , 10 , 16 , 8 , 19; New mean = 16
Answer : B
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(21 + 10 + 16 + 8 + 19 + x )}{6}$ = 16
= 74 + x = 96; x = 96 – 74 = 22
Step 3:
Required new score = 22
9 , 10 , 8 , 10 , 18 , 12 , 4; New mean = 14
Answer : C
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(9 + 10 + 8 + 10 + 18 + 12 + 4 + x )}{8}$ = 14
= 71 + x = 112; x = 112 – 71 = 41
Step 3:
Required new score = 41
25 , 18 , 18 , 13 , 4 , 17 , 18 , 19 , 3; New mean = 17
Answer : D
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(25 + 18 + 18 + 13 + 4 + 17 + 18 + 19 + 3 + x )}{10}$ = 17
= 135 + x = 170; x = 170 – 135 = 35
Step 3:
Required new score = 35
18 , 15 , 11 , 3 , 8 , 4 , 13 , 12 , 6; New mean = 10
Answer : A
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(18 + 15 + 11 + 3 + 8 + 4 + 13 + 12 + 6 + x )}{10}$ = 10
= 90 + x = 100; x = 100 – 90 = 10
Step 3:
Required new score = 10
16 , 15 , 18 , 14 , 9 , 17; New mean = 15
Answer : B
Explanation
Step 1:
Let the new score to be added = x
Step 2:
New mean = $\frac{(16 + 15 + 18 + 14 + 9 + 17 + x )}{7}$ = 15
= 89 + x = 105; x = 105 – 89 = 16
Step 3:
Required new score = 16