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The scores in physics test (out of 100) of 15 students is as follows: 19, 42, 68, 27, 36, 48, 78, 38, 12, 17, 61, 65, 47, 84, 39.What is the median of this data?- a)39
- b)42
- c)47
- d)48
Correct answer is option 'B'. Can you explain this answer?
The scores in physics test (out of 100) of 15 students is as follows: 19, 42, 68, 27, 36, 48, 78, 38, 12, 17, 61, 65, 47, 84, 39.
What is the median of this data?
a)
39
b)
42
c)
47
d)
48
|
Maheshwar Verma answered |
The marks in ascending order are
12, 17, 19, 27, 36, 38, 39, 42, 47, 48, 61, 65, 68, 78, 84.
n = 15, which is odd.
12, 17, 19, 27, 36, 38, 39, 42, 47, 48, 61, 65, 68, 78, 84.
n = 15, which is odd.
What is the median of first 9 multiples of 12?- a)36
- b)48
- c)60
- d)72
Correct answer is option 'C'. Can you explain this answer?
What is the median of first 9 multiples of 12?
a)
36
b)
48
c)
60
d)
72
|
Anand Ghoshal answered |
First 9 multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108
n = 9
n = 9
The runs scored by 11 members of a cricket team are 35, 39, 53, 28, 65, 62, 0, 46, 31, 08, 24. What is the median score?- a)28
- b)31
- c)35
- d)39
Correct answer is option 'C'. Can you explain this answer?
The runs scored by 11 members of a cricket team are 35, 39, 53, 28, 65, 62, 0, 46, 31, 08, 24. What is the median score?
a)
28
b)
31
c)
35
d)
39
|
Gaurav Menon answered |
The median score:
The median score is the middle value in a set of numbers when they are arranged in order. In this case, we have the scores of 11 cricket team members:
35, 39, 53, 28, 65, 62, 0, 46, 31, 08, 24
Arranging the scores in order:
To find the median score, we need to arrange the scores in ascending order:
0, 08, 24, 28, 31, 35, 39, 46, 53, 62, 65
Determining the middle value:
Now that the scores are arranged in order, we can determine the middle value. Since we have 11 scores, the middle value will be the 6th score.
0, 08, 24, 28, 31, 35, 39, 46, 53, 62, 65
The median score is 35:
Therefore, the median score is 35. Option C is the correct answer.
The median score is the middle value in a set of numbers when they are arranged in order. In this case, we have the scores of 11 cricket team members:
35, 39, 53, 28, 65, 62, 0, 46, 31, 08, 24
Arranging the scores in order:
To find the median score, we need to arrange the scores in ascending order:
0, 08, 24, 28, 31, 35, 39, 46, 53, 62, 65
Determining the middle value:
Now that the scores are arranged in order, we can determine the middle value. Since we have 11 scores, the middle value will be the 6th score.
0, 08, 24, 28, 31, 35, 39, 46, 53, 62, 65
The median score is 35:
Therefore, the median score is 35. Option C is the correct answer.
The heights of nine players of a team are 165cm, 168cm, 170cm, 174cm, 182cm, 160cm, 171cm, 173cm, 164cm. Find the median.- a)168 cm
- b)170 cm
- c)171 cm
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The heights of nine players of a team are 165cm, 168cm, 170cm, 174cm, 182cm, 160cm, 171cm, 173cm, 164cm. Find the median.
a)
168 cm
b)
170 cm
c)
171 cm
d)
None of these
|
Sarojini Singh answered |
To find the median, we need to arrange the given heights in ascending order. The heights are:
160cm, 164cm, 165cm, 168cm, 170cm, 171cm, 173cm, 174cm, 182cm
Arranging them in ascending order, we get:
160cm, 164cm, 165cm, 168cm, 170cm, 171cm, 173cm, 174cm, 182cm
Now, let's find the middle value. Since there are 9 heights, the middle value will be the (9+1)/2 = 5th value.
Therefore, the median height is 170cm, which is option B.
160cm, 164cm, 165cm, 168cm, 170cm, 171cm, 173cm, 174cm, 182cm
Arranging them in ascending order, we get:
160cm, 164cm, 165cm, 168cm, 170cm, 171cm, 173cm, 174cm, 182cm
Now, let's find the middle value. Since there are 9 heights, the middle value will be the (9+1)/2 = 5th value.
Therefore, the median height is 170cm, which is option B.
What is the mode of the following data 22, 28, 47, 43, 28, 27, 36, 43, 45, 42, 43, 46, ?- a)22
- b)28
- c)47
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
What is the mode of the following data 22, 28, 47, 43, 28, 27, 36, 43, 45, 42, 43, 46, ?
a)
22
b)
28
c)
47
d)
None of these
|
Abhay Menon answered |
As 28 appears two times, but other numbers appear only once.
If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32. What is the value of x?- a)26
- b)27
- c)28
- d)29
Correct answer is option 'C'. Can you explain this answer?
If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32. What is the value of x?
a)
26
b)
27
c)
28
d)
29
|
|
Sukriti Shah answered |
Calculation of the missing value:
To find the missing value x in the given data, we can use the formula for calculating the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
Given data: 16, 24, x, 34, 35, 25, 37, 42, 47
Mean = 32
Step 1:
Calculate the sum of all the given numbers:
Sum = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 2:
Substitute the sum back into the formula for the mean:
32 = (Sum) / 9
Step 3:
Solve for the sum:
Sum = 32 * 9
Sum = 288
Step 4:
Substitute the sum back into the equation to find the missing value x:
288 = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 5:
Solve for x:
x = 288 - (16 + 24 + 34 + 35 + 25 + 37 + 42 + 47)
x = 288 - 260
x = 28
Therefore, the value of x in the given data set is 28. Hence, the correct answer is option 'C'.
To find the missing value x in the given data, we can use the formula for calculating the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
Given data: 16, 24, x, 34, 35, 25, 37, 42, 47
Mean = 32
Step 1:
Calculate the sum of all the given numbers:
Sum = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 2:
Substitute the sum back into the formula for the mean:
32 = (Sum) / 9
Step 3:
Solve for the sum:
Sum = 32 * 9
Sum = 288
Step 4:
Substitute the sum back into the equation to find the missing value x:
288 = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 5:
Solve for x:
x = 288 - (16 + 24 + 34 + 35 + 25 + 37 + 42 + 47)
x = 288 - 260
x = 28
Therefore, the value of x in the given data set is 28. Hence, the correct answer is option 'C'.
What is the median of first 15 odd numbers?- a)15
- b)17
- c)19
- d)21
Correct answer is option 'B'. Can you explain this answer?
What is the median of first 15 odd numbers?
a)
15
b)
17
c)
19
d)
21
|
Simran Deshpande answered |
First 15 odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31.
n = 15, which is odd.
n = 15, which is odd.
If the mode of the given data is 22.16, its median is 22. What is its mean?- a)20.92
- b)21.92
- c)22.92
- d)23.92
Correct answer is option 'B'. Can you explain this answer?
If the mode of the given data is 22.16, its median is 22. What is its mean?
a)
20.92
b)
21.92
c)
22.92
d)
23.92
|
Madhavan Unni answered |
Mode = 22.16
Median = 22
Mode = 3 Median – 2 Mean
22.16 = 3 × 22 – 2 Mean
2 Mean = 66 – 22.16 = 43.84
Median = 22
Mode = 3 Median – 2 Mean
22.16 = 3 × 22 – 2 Mean
2 Mean = 66 – 22.16 = 43.84
Following are the margins of victory in the football matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1,
2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2,
4, 2, 1, 2.What is the mode of this data?- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
Following are the margins of victory in the football matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1,
2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2,
4, 2, 1, 2.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1,
2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2,
4, 2, 1, 2.
What is the mode of this data?
a)
1
b)
2
c)
3
d)
4
|
|
Maheshwar Verma answered |
The frequency of 2 is highest. So, mode = 2
What is the median of the given data?
- a)17
- b)20
- c)22
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
What is the median of the given data?
a)
17
b)
20
c)
22
d)
None of these
|
Pragati Choudhary answered |
N = 37
N = 37, which is odd.
What is the mean of first seven prime numbers?- a)7.285
- b)8.285
- c)7.685
- d)8.625
Correct answer is option 'B'. Can you explain this answer?
What is the mean of first seven prime numbers?
a)
7.285
b)
8.285
c)
7.685
d)
8.625
|
Avni rane answered |
Understanding Prime Numbers
Prime numbers are natural numbers greater than 1 that cannot be formed by multiplying two smaller natural numbers. The first seven prime numbers are:
Calculating the Mean
To find the mean (average) of these prime numbers, follow these steps:
1. Sum the Prime Numbers:
Add all seven prime numbers together.
- 2 + 3 + 5 + 7 + 11 + 13 + 17 = 58
2. Count the Numbers:
There are 7 prime numbers.
3. Divide the Sum by the Count:
Divide the total sum by the number of primes.
- Mean = Total Sum / Count = 58 / 7
Finding the Result
Calculating 58 divided by 7 gives approximately:
Thus, the mean of the first seven prime numbers is approximately 8.285.
Conclusion
The closest answer from the available options is:
This confirms that the correct answer is indeed option B.
Prime numbers are natural numbers greater than 1 that cannot be formed by multiplying two smaller natural numbers. The first seven prime numbers are:
- 2
- 3
- 5
- 7
- 11
- 13
- 17
Calculating the Mean
To find the mean (average) of these prime numbers, follow these steps:
1. Sum the Prime Numbers:
Add all seven prime numbers together.
- 2 + 3 + 5 + 7 + 11 + 13 + 17 = 58
2. Count the Numbers:
There are 7 prime numbers.
3. Divide the Sum by the Count:
Divide the total sum by the number of primes.
- Mean = Total Sum / Count = 58 / 7
Finding the Result
Calculating 58 divided by 7 gives approximately:
- 58 / 7 = 8.285714285714286
Thus, the mean of the first seven prime numbers is approximately 8.285.
Conclusion
The closest answer from the available options is:
- Option B: 8.285
This confirms that the correct answer is indeed option B.
What is the median of 21, 15, 8, 28, 19, 23, 40, 7, 16, 9, 22 ?- a)16
- b)19
- c)21
- d)22
Correct answer is option 'B'. Can you explain this answer?
What is the median of 21, 15, 8, 28, 19, 23, 40, 7, 16, 9, 22 ?
a)
16
b)
19
c)
21
d)
22
|
Parth Menon answered |
Calculating the Median:
To find the median of a set of numbers, you first need to arrange the numbers in ascending order. Once the numbers are in order, you can determine the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
Arranging the Numbers in Ascending Order:
The given set of numbers is: 21, 15, 8, 28, 19, 23, 40, 7, 16, 9, 22
Arranging them in ascending order: 7, 8, 9, 15, 16, 19, 21, 22, 23, 28, 40
Finding the Median:
Since there are 11 numbers in the set, which is an odd number, the median is the middle number. In this case, the middle number is the 6th number in the ordered set, which is 19. Therefore, the median of the given set of numbers is 19.
Therefore, the correct answer is option B) 19.
To find the median of a set of numbers, you first need to arrange the numbers in ascending order. Once the numbers are in order, you can determine the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
Arranging the Numbers in Ascending Order:
The given set of numbers is: 21, 15, 8, 28, 19, 23, 40, 7, 16, 9, 22
Arranging them in ascending order: 7, 8, 9, 15, 16, 19, 21, 22, 23, 28, 40
Finding the Median:
Since there are 11 numbers in the set, which is an odd number, the median is the middle number. In this case, the middle number is the 6th number in the ordered set, which is 19. Therefore, the median of the given set of numbers is 19.
Therefore, the correct answer is option B) 19.
The ages in years of 15 teachers of a school are 41, 32, 51, 43, 24, 38, 49, 56, 42, 28, 37, 48, 45, 47, 50. What is the range of ages of teachers?- a)32 years
- b)30 years
- c)28 years
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The ages in years of 15 teachers of a school are 41, 32, 51, 43, 24, 38, 49, 56, 42, 28, 37, 48, 45, 47, 50. What is the range of ages of teachers?
a)
32 years
b)
30 years
c)
28 years
d)
None of these
|
Madhurima Kulkarni answered |
The ages in the ascending order are 24, 28, 32, 37, 38, 41, 42, 43, 45, 47, 48, 49, 50, 51, 56,
Range = 56 – 24 = 32
Range = 56 – 24 = 32
What is the median of the following data
- a)56.5
- b)57.5
- c)58.5
- d)59.5
Correct answer is option 'D'. Can you explain this answer?
What is the median of the following data
a)
56.5
b)
57.5
c)
58.5
d)
59.5
|
|
Maheshwar Verma answered |
N = 50
N = 50, which is even.
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