WBBSEClass XMathematicsStatistics01 Mark2024 Easy

QQuestion

If A and M be the arithmetic mean and median of first ten natural numbers, then relation between them will be –

(a) A > M

(b) A < M

(c) A = 1\over \text{M}

(d) A = M

Exam-ready answer 01 Mark

Answer

(d) A = M

Explanation:

10 Natural Number = 1, 2, 3, 4, …, 10

Sum of 10 natural number (∑x) = 1 + 2 + 3 + 4 + … + 10 = 55

Mean = \text{∑x}\over \text{n} = \text{55}\over \text{10} = 5.5

Median = 5 + 6\over 2[\katex] = 5.5

Was this answer helpful?

Related Questions

More WBBSE Easy level questions

1/12

State True or False: The average of n numbers is x̄. If the sum of first (n−1) numbers is K, then nth number is (n−1) x̄ + K.

Easy 01 Mark

Find the mean by any suitable method from the following frequency distribution table Class Interval Frequency 85 - 105 3 105 - 125 12 125 - 145 18 145 - 165 10 165 - 185 5 185 - 205 2

Easy 04 Mark

The mean of a frequency distribution is 7 and Σfx = 140, then find the value of Σf

Easy 02 Mark

Mode = 2 × Median – 3 × Mean.

Easy 01 Mark

x is the mean of (p + q) numbe ₹ If y be the mean of p numbers, then mean of remaining q numbers is ______.

Easy 01 Mark

State True or False: The Mode of the data 5, 2, 4, 3, 5, 2, 5, 2, 5, 2 is 2.

Easy 01 Mark

The median of the numbers 8, 15, 10, 11, 7, 9, 11, 13 and 16 is _____.

Easy 01 Mark

Three values ​​of a variable are 4, 5 and 7, if their frequencies are p - 2, p + 1 and p - 1 respectively and the Mean is 5.4, then the value of p is:

Easy 01 Mark

The age of 100 persons present in a workshop is given in the following table. Find the average age of 100 people (by any method): Age Group Number of People 10 - 20 8 20 - 30 12 30 - 40 20 40 - 50 22 50 - 60 18 60 - 70 20

Easy 04 Mark

Construct the table of cumulative frequency (greater than type) and draw the ogive from the following frequency distribution : Class Frequency 0 - 10 7 10 - 20 10 20 - 30 23 30 - 40 50 40 - 50 6 50 - 60 4

Easy 04 Mark

If 6, 8, 10, 12, 13, x are in increasing order and their mean and median are equal, then find the value of x.

Easy 02 Mark

Find the median of the data from the following distribution. Marks Obtained No. of Students Less than 10 8 Less than 20 15 Less than 30 29 Less than 40 42 Less than 50 60 Less than 60 70

Moderate 04 Mark