Measures Of Central Tendency Maths - Measures Of Central Tendency

Which one of the following is not a measure of central value?

1. Mean.
2. Range.
3. Median.
4. Mode.

The median of the following data : 0, 2, 2, 2, -3, 5, -1, 5, −3, 6, 6, 5, 6 is:

1. 0
2. -1.5
3. 2
4. 3.5

The mean of a, b, c, d and e is 28. If the mean of a, c, and e is 24, What is the mean of b and d?

1. 31
2. 32
3. 33
4. 34

The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Later on, an error in recording instrument was found. Find the correct average speed of the motorists if the instrument is recorded 5 km/hr less in each case.

The percentage marks obtained by students of a class in mathematics are as follows: 64, 36 , 47, 23, 0, 19, 81, 93, 72, 35, 3, 1. Find their mean.

The numbers of children in 10 families of a locality are 2, 4, 3, 4, 2, 3, 5, 1, 1, 5. Find the number of children per family.

The mean weight of 8 numbers is 15. If each number is multiplied by 2, what will be the new mean?

The mean of marks scored by 100 students was found to be 40. Later on, it was discovered that a score of 53 was misread as 83. Find the correct mean.

The mean weight per student in a group of 7 students is 55kg. The individual weights of 6 of them (in kg) are 52, 54, 55, 53, 56 and 54. Find the weight of the seventh student.

The following observation s have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95.

The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.

Numbers 50, 42, 35, 2x + 10, 2x - 8, 12, 11, 8 are written in descending order and their median is 25, find x.

If the mode of scores 3, 4, 3, 5, 4, 6, 6, x is 4, find the value of x.

The weights (in kg) of 15 students are: 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30. Find the median. If the weight 44kg is replaced by 46kg and 27kg by 25kg, find the new median.

The mean of the following data is 20.6 Find the value of p.

x:	10	15	p	25	35
f:	3	10	25	7	5

If the ratio of mode and median of a certain data is 6 : 5, then find the ratio of its mean and median.

If the ratio of mean and median of a certain data is 2 : 3, then find the ratio of its mode and mean.

If the median of 33, 28, 20, 25, 34, x is 29, find the maximum possible value of x.

The sum of the deviations of a set of n values x₁, x₂, x₃,..., x_n measured from 15 and -3 are -90 and 54 respectively. Find the value of n and mean.

Explain, by taking a suitable example, how the arithmetic mean alters by:

1. Adding a constant k to each term.
2. Subtracting a constant k from each term.
3. Multiplying each term by a constant k.
4. Dividing each term by non-zero constant k.