300076
The mean of a set of 10 numbers is 20 Is each number is first multiples by 2 and then increased by 5 then what is the mean of new numbers?
1 20
2 25
3 40
4 45
Explanation:
45 Given the mean of 10 numbers is 20 Then total of numbers = 20 times 10 = 200 If each number multiples by 2 and add 5 then total of new numbers = 20 × 2 × 10 + 5 × 10 = 450 \(\frac{450}{10} = 45\)
DATA HANDLING
300077
If the mean of 5, 7, x, 10, 5 and 7 is 7, then x =
1 6
2 7
3 8
4 9
Explanation:
8 Here, the observations are 5, 7, x, 10, 5 and 7 \(\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}\) \(\Rightarrow7=\frac{5+7+\text{x}+10+5+7}{6}\) \(\Rightarrow\text{x}+34=42\) \(\Rightarrow\text{x}=42-34=8\) Hence, the correct option is (c).
DATA HANDLING
300078
If the median of 10, 12, x, 6, 18 is 10, then which of the following is correct?
1 \(6\leq\text{x}\leq10\)
2 x < 6
3 x > 18
4 Either (a) or (b)
Explanation:
Either (a) or (b) Arranging the numbers 10, 12, 6, 18 in ascending order, we get 6, 10, 12, 18 Thus, for 10 to be the median of the data, x < 6 or \(6\leq\text{x}\leq10\) Hence, the correct option is (d).
DATA HANDLING
300079
When 10 is subtracted from each of the given observation, the mean is reduced by 60%. If 5 is added to all the given observation, then what will be the mean?
1 25
2 30
3 60
4 65
Explanation:
30 Let the mean be \(\bar{\text{x}}\) According to the question, \(\bar{\text{x}} - {10} = {60}{\text{%}} \text{ of } \bar{\text{ x}}\) \(\bar{\text{x}} = {25}\) Now, each observation is increased by 5. \(\therefore\) New mean \( = \bar{\text{x}}+5\) = 25 + 5 = 30.
300076
The mean of a set of 10 numbers is 20 Is each number is first multiples by 2 and then increased by 5 then what is the mean of new numbers?
1 20
2 25
3 40
4 45
Explanation:
45 Given the mean of 10 numbers is 20 Then total of numbers = 20 times 10 = 200 If each number multiples by 2 and add 5 then total of new numbers = 20 × 2 × 10 + 5 × 10 = 450 \(\frac{450}{10} = 45\)
DATA HANDLING
300077
If the mean of 5, 7, x, 10, 5 and 7 is 7, then x =
1 6
2 7
3 8
4 9
Explanation:
8 Here, the observations are 5, 7, x, 10, 5 and 7 \(\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}\) \(\Rightarrow7=\frac{5+7+\text{x}+10+5+7}{6}\) \(\Rightarrow\text{x}+34=42\) \(\Rightarrow\text{x}=42-34=8\) Hence, the correct option is (c).
DATA HANDLING
300078
If the median of 10, 12, x, 6, 18 is 10, then which of the following is correct?
1 \(6\leq\text{x}\leq10\)
2 x < 6
3 x > 18
4 Either (a) or (b)
Explanation:
Either (a) or (b) Arranging the numbers 10, 12, 6, 18 in ascending order, we get 6, 10, 12, 18 Thus, for 10 to be the median of the data, x < 6 or \(6\leq\text{x}\leq10\) Hence, the correct option is (d).
DATA HANDLING
300079
When 10 is subtracted from each of the given observation, the mean is reduced by 60%. If 5 is added to all the given observation, then what will be the mean?
1 25
2 30
3 60
4 65
Explanation:
30 Let the mean be \(\bar{\text{x}}\) According to the question, \(\bar{\text{x}} - {10} = {60}{\text{%}} \text{ of } \bar{\text{ x}}\) \(\bar{\text{x}} = {25}\) Now, each observation is increased by 5. \(\therefore\) New mean \( = \bar{\text{x}}+5\) = 25 + 5 = 30.
300076
The mean of a set of 10 numbers is 20 Is each number is first multiples by 2 and then increased by 5 then what is the mean of new numbers?
1 20
2 25
3 40
4 45
Explanation:
45 Given the mean of 10 numbers is 20 Then total of numbers = 20 times 10 = 200 If each number multiples by 2 and add 5 then total of new numbers = 20 × 2 × 10 + 5 × 10 = 450 \(\frac{450}{10} = 45\)
DATA HANDLING
300077
If the mean of 5, 7, x, 10, 5 and 7 is 7, then x =
1 6
2 7
3 8
4 9
Explanation:
8 Here, the observations are 5, 7, x, 10, 5 and 7 \(\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}\) \(\Rightarrow7=\frac{5+7+\text{x}+10+5+7}{6}\) \(\Rightarrow\text{x}+34=42\) \(\Rightarrow\text{x}=42-34=8\) Hence, the correct option is (c).
DATA HANDLING
300078
If the median of 10, 12, x, 6, 18 is 10, then which of the following is correct?
1 \(6\leq\text{x}\leq10\)
2 x < 6
3 x > 18
4 Either (a) or (b)
Explanation:
Either (a) or (b) Arranging the numbers 10, 12, 6, 18 in ascending order, we get 6, 10, 12, 18 Thus, for 10 to be the median of the data, x < 6 or \(6\leq\text{x}\leq10\) Hence, the correct option is (d).
DATA HANDLING
300079
When 10 is subtracted from each of the given observation, the mean is reduced by 60%. If 5 is added to all the given observation, then what will be the mean?
1 25
2 30
3 60
4 65
Explanation:
30 Let the mean be \(\bar{\text{x}}\) According to the question, \(\bar{\text{x}} - {10} = {60}{\text{%}} \text{ of } \bar{\text{ x}}\) \(\bar{\text{x}} = {25}\) Now, each observation is increased by 5. \(\therefore\) New mean \( = \bar{\text{x}}+5\) = 25 + 5 = 30.
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DATA HANDLING
300076
The mean of a set of 10 numbers is 20 Is each number is first multiples by 2 and then increased by 5 then what is the mean of new numbers?
1 20
2 25
3 40
4 45
Explanation:
45 Given the mean of 10 numbers is 20 Then total of numbers = 20 times 10 = 200 If each number multiples by 2 and add 5 then total of new numbers = 20 × 2 × 10 + 5 × 10 = 450 \(\frac{450}{10} = 45\)
DATA HANDLING
300077
If the mean of 5, 7, x, 10, 5 and 7 is 7, then x =
1 6
2 7
3 8
4 9
Explanation:
8 Here, the observations are 5, 7, x, 10, 5 and 7 \(\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}\) \(\Rightarrow7=\frac{5+7+\text{x}+10+5+7}{6}\) \(\Rightarrow\text{x}+34=42\) \(\Rightarrow\text{x}=42-34=8\) Hence, the correct option is (c).
DATA HANDLING
300078
If the median of 10, 12, x, 6, 18 is 10, then which of the following is correct?
1 \(6\leq\text{x}\leq10\)
2 x < 6
3 x > 18
4 Either (a) or (b)
Explanation:
Either (a) or (b) Arranging the numbers 10, 12, 6, 18 in ascending order, we get 6, 10, 12, 18 Thus, for 10 to be the median of the data, x < 6 or \(6\leq\text{x}\leq10\) Hence, the correct option is (d).
DATA HANDLING
300079
When 10 is subtracted from each of the given observation, the mean is reduced by 60%. If 5 is added to all the given observation, then what will be the mean?
1 25
2 30
3 60
4 65
Explanation:
30 Let the mean be \(\bar{\text{x}}\) According to the question, \(\bar{\text{x}} - {10} = {60}{\text{%}} \text{ of } \bar{\text{ x}}\) \(\bar{\text{x}} = {25}\) Now, each observation is increased by 5. \(\therefore\) New mean \( = \bar{\text{x}}+5\) = 25 + 5 = 30.
