300225
The mean of 5 numbers is 20. If one number is excluded their mean is 15. Then the excluded number is:
1 5
2 40
3 20
4 10
Explanation:
40 \(\frac{\text{Sum}}{\text{Total}} = {20}\) \(\frac{\text{Sum}}{5}= {20}\) Sum = 100 Let no. excluded be x \(\frac{\text{New sum}}{\text{Total}} = {15}\) New Sum = 60 Excluded N = 100 - 60 = 40
DATA HANDLING
300226
Find the average of the expressions 2x + 4, 5x - 1 and -x + 3:
1 x + 2
2 x - 2
3 2x + 2
4 2x - 2
Explanation:
2x + 2 \(\text{Average of the expression} = \frac{\text{sum of expression}}{\text{total number of expressions}}\) \(\Rightarrow \frac{{2}{\text{x}}+4+{5}{\text{x}} - 1 -{\text{x}} +{3}}{3}\) \(\Rightarrow \frac{{6}{\text{x}}+{6}}{3}\) \(\Rightarrow\frac{{3}({2}{\text{x}}+{2})}{3} = {2}{\text{x}}+{2}\)
DATA HANDLING
300227
The mean of all factors of 10 is:
1 4.5
2 5.5
3 6
4 None of these
Explanation:
4.5 Factors of 10 are: 1, 10, 2, 5 \(\text{mean of factors of 10} = \frac{\text{sum}}{\text{count of number}}\) \(\text{mean} = \frac{1+10+2+5}{4}\) \(\text{mean} = \frac{18}{4}\) \(\text{mean} = 4.5\)
DATA HANDLING
300228
The mean of x, y, z is y, then x + z =
1 y
2 2y
3 3y
4 zy
Explanation:
2y The question tells us that the mean of x, y and z is y. \(\text{i.e.} = \frac{\text{x+y+z}}{3} = \text{y}\) \(\text{i.e.} = \text{x+z} = 2\text{y}\)
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DATA HANDLING
300225
The mean of 5 numbers is 20. If one number is excluded their mean is 15. Then the excluded number is:
1 5
2 40
3 20
4 10
Explanation:
40 \(\frac{\text{Sum}}{\text{Total}} = {20}\) \(\frac{\text{Sum}}{5}= {20}\) Sum = 100 Let no. excluded be x \(\frac{\text{New sum}}{\text{Total}} = {15}\) New Sum = 60 Excluded N = 100 - 60 = 40
DATA HANDLING
300226
Find the average of the expressions 2x + 4, 5x - 1 and -x + 3:
1 x + 2
2 x - 2
3 2x + 2
4 2x - 2
Explanation:
2x + 2 \(\text{Average of the expression} = \frac{\text{sum of expression}}{\text{total number of expressions}}\) \(\Rightarrow \frac{{2}{\text{x}}+4+{5}{\text{x}} - 1 -{\text{x}} +{3}}{3}\) \(\Rightarrow \frac{{6}{\text{x}}+{6}}{3}\) \(\Rightarrow\frac{{3}({2}{\text{x}}+{2})}{3} = {2}{\text{x}}+{2}\)
DATA HANDLING
300227
The mean of all factors of 10 is:
1 4.5
2 5.5
3 6
4 None of these
Explanation:
4.5 Factors of 10 are: 1, 10, 2, 5 \(\text{mean of factors of 10} = \frac{\text{sum}}{\text{count of number}}\) \(\text{mean} = \frac{1+10+2+5}{4}\) \(\text{mean} = \frac{18}{4}\) \(\text{mean} = 4.5\)
DATA HANDLING
300228
The mean of x, y, z is y, then x + z =
1 y
2 2y
3 3y
4 zy
Explanation:
2y The question tells us that the mean of x, y and z is y. \(\text{i.e.} = \frac{\text{x+y+z}}{3} = \text{y}\) \(\text{i.e.} = \text{x+z} = 2\text{y}\)
300225
The mean of 5 numbers is 20. If one number is excluded their mean is 15. Then the excluded number is:
1 5
2 40
3 20
4 10
Explanation:
40 \(\frac{\text{Sum}}{\text{Total}} = {20}\) \(\frac{\text{Sum}}{5}= {20}\) Sum = 100 Let no. excluded be x \(\frac{\text{New sum}}{\text{Total}} = {15}\) New Sum = 60 Excluded N = 100 - 60 = 40
DATA HANDLING
300226
Find the average of the expressions 2x + 4, 5x - 1 and -x + 3:
1 x + 2
2 x - 2
3 2x + 2
4 2x - 2
Explanation:
2x + 2 \(\text{Average of the expression} = \frac{\text{sum of expression}}{\text{total number of expressions}}\) \(\Rightarrow \frac{{2}{\text{x}}+4+{5}{\text{x}} - 1 -{\text{x}} +{3}}{3}\) \(\Rightarrow \frac{{6}{\text{x}}+{6}}{3}\) \(\Rightarrow\frac{{3}({2}{\text{x}}+{2})}{3} = {2}{\text{x}}+{2}\)
DATA HANDLING
300227
The mean of all factors of 10 is:
1 4.5
2 5.5
3 6
4 None of these
Explanation:
4.5 Factors of 10 are: 1, 10, 2, 5 \(\text{mean of factors of 10} = \frac{\text{sum}}{\text{count of number}}\) \(\text{mean} = \frac{1+10+2+5}{4}\) \(\text{mean} = \frac{18}{4}\) \(\text{mean} = 4.5\)
DATA HANDLING
300228
The mean of x, y, z is y, then x + z =
1 y
2 2y
3 3y
4 zy
Explanation:
2y The question tells us that the mean of x, y and z is y. \(\text{i.e.} = \frac{\text{x+y+z}}{3} = \text{y}\) \(\text{i.e.} = \text{x+z} = 2\text{y}\)
300225
The mean of 5 numbers is 20. If one number is excluded their mean is 15. Then the excluded number is:
1 5
2 40
3 20
4 10
Explanation:
40 \(\frac{\text{Sum}}{\text{Total}} = {20}\) \(\frac{\text{Sum}}{5}= {20}\) Sum = 100 Let no. excluded be x \(\frac{\text{New sum}}{\text{Total}} = {15}\) New Sum = 60 Excluded N = 100 - 60 = 40
DATA HANDLING
300226
Find the average of the expressions 2x + 4, 5x - 1 and -x + 3:
1 x + 2
2 x - 2
3 2x + 2
4 2x - 2
Explanation:
2x + 2 \(\text{Average of the expression} = \frac{\text{sum of expression}}{\text{total number of expressions}}\) \(\Rightarrow \frac{{2}{\text{x}}+4+{5}{\text{x}} - 1 -{\text{x}} +{3}}{3}\) \(\Rightarrow \frac{{6}{\text{x}}+{6}}{3}\) \(\Rightarrow\frac{{3}({2}{\text{x}}+{2})}{3} = {2}{\text{x}}+{2}\)
DATA HANDLING
300227
The mean of all factors of 10 is:
1 4.5
2 5.5
3 6
4 None of these
Explanation:
4.5 Factors of 10 are: 1, 10, 2, 5 \(\text{mean of factors of 10} = \frac{\text{sum}}{\text{count of number}}\) \(\text{mean} = \frac{1+10+2+5}{4}\) \(\text{mean} = \frac{18}{4}\) \(\text{mean} = 4.5\)
DATA HANDLING
300228
The mean of x, y, z is y, then x + z =
1 y
2 2y
3 3y
4 zy
Explanation:
2y The question tells us that the mean of x, y and z is y. \(\text{i.e.} = \frac{\text{x+y+z}}{3} = \text{y}\) \(\text{i.e.} = \text{x+z} = 2\text{y}\)
