Let x be median of the data $13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.$ If $8$ is replaced by $18$, then the median of data is $y$, then the sum of $x$ and $y$ is equal to:

Which of the following statements are True?

• A. The mean of x, y, z is y. Then x + z = 2y.
• B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.
• C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.

Choose the correct answer from the options given below:

The average of five consecutive numbers is a. If the next two numbers are also included, how will the average vary?

Match List I with List II. Choose the correct answer from the options given below:

A car owner buys petrol at the rate ₹ 17, ₹ 19 and ₹ 20 per litre, respectively for three consecutive years. Compute the average cost per litre, if he spends ₹ 6,460 per year for the three consecutive years.

If the mean of $a$, $b$, and $c$ is $M$; $ab + bc + ca = 0$; and the mean of $a^2$, $b^2$ and $c^2$ is $KM^2$, then $K$ is equal to

In a cricket team of 11 players, the average age is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years, and 30 years respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven years older than the youngest player, then the age of the captain is