1. The first ten multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. To find the median, arrange the numbers in ascending order (already done above). Since there are 10 numbers (an even count), the median is the average of the two middle numbers. The two middle numbers are the 5th and 6th numbersRead more

    The first ten multiples of 3 are:
    3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

    To find the median, arrange the numbers in ascending order (already done above). Since there are 10 numbers (an even count), the median is the average of the two middle numbers. The two middle numbers are the 5th and 6th numbers in the list:
    5th number = 15,
    6th number = 18.

    The median is calculated as:
    Median = (15 + 18) / 2,
    Median = 33 / 2,
    Median = 16.5.

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    • 12
  2. The first ten multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. To calculate the mean, use the formula: Mean = (Sum of all observations) / (Number of observations). Calculate the sum of the first ten multiples of 2. Sum = 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20. This is an arithmetic progrRead more

    The first ten multiples of 2 are:
    2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

    To calculate the mean, use the formula:
    Mean = (Sum of all observations) / (Number of observations).

    Calculate the sum of the first ten multiples of 2.
    Sum = 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20.

    This is an arithmetic progression (AP) with:
    – First term (a) = 2,
    – Last term (l) = 20,
    – Number of terms (n) = 10.

    The sum of an AP is given by:
    Sum = n/2 × (a + l).

    Substitute the values:
    Sum = 10/2 × (2 + 20),
    Sum = 5 × 22,
    Sum = 110.

    Calculate the mean.
    Mean = Sum / Number of observations,
    Mean = 110 / 10,
    Mean = 11.

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    • 27
  3. The first ten multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. To calculate the mean, use the formula: Mean = (Sum of all observations) / (Number of observations). Calculate the sum of the first ten multiples of 5. Sum = 5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50. This is an arithmeticRead more

    The first ten multiples of 5 are:
    5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

    To calculate the mean, use the formula:
    Mean = (Sum of all observations) / (Number of observations).

    Calculate the sum of the first ten multiples of 5.
    Sum = 5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50.

    This is an arithmetic progression (AP) with:
    – First term (a) = 5,
    – Last term (l) = 50,
    – Number of terms (n) = 10.

    The sum of an AP is given by:
    Sum = n/2 × (a + l).

    Substitute the values:
    Sum = 10/2 × (5 + 50),
    Sum = 5 × 55,
    Sum = 275.

    Calculate the mean.
    Mean = Sum / Number of observations,
    Mean = 275 / 10,
    Mean = 55.

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    • 10
  4. The first ten prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. To find the median, arrange the numbers in ascending order (already done above). Since there are 10 numbers (an even count), the median is the average of the two middle numbers. The two middle numbers are the 5th and 6th numbers inRead more

    The first ten prime numbers are:
    2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

    To find the median, arrange the numbers in ascending order (already done above). Since there are 10 numbers (an even count), the median is the average of the two middle numbers. The two middle numbers are the 5th and 6th numbers in the list:
    5th number = 11,
    6th number = 13.

    The median is calculated as:
    Median = (11 + 13) / 2,
    Median = 24 / 2,
    Median = 12.

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    • 30
  5. The class mark and class size are given as 25 and 10, respectively. The class mark is the midpoint of the class interval, and the class size is the difference between the upper and lower limits of the class interval. Let the class interval be represented as: Lower Limit = L, Upper Limit = U. The claRead more

    The class mark and class size are given as 25 and 10, respectively. The class mark is the midpoint of the class interval, and the class size is the difference between the upper and lower limits of the class interval.

    Let the class interval be represented as:
    Lower Limit = L, Upper Limit = U.

    The class mark is calculated as:
    Class Mark = (L + U) / 2.

    Substitute the given class mark (25):
    25 = (L + U) / 2.

    Multiply through by 2:
    L + U = 50. — (1)

    The class size is the difference between the upper and lower limits:
    Class Size = U – L.

    Substitute the given class size (10):
    10 = U – L. — (2)

    Now solve the system of equations (1) and (2):
    From (2): U = L + 10.

    Substitute U = L + 10 into (1):
    L + (L + 10) = 50,
    2L + 10 = 50,
    2L = 40,
    L = 20.

    Substitute L = 20 into U = L + 10:
    U = 20 + 10 = 30.

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    • 11