Statistics Test...

If the mean of group A of 10 observations is 18, and that of group B of 12 observations is 23, then what will be the combined mean of the two groups?

The arithmetic mean of 5, x, 7 and 3y is 15 and the arithmetic mean of 3x, 5, 2 and y is 18. What is the arithmetic mean of x and y?

The following data has been arranged in ascending order. If their median is 93, what is the value of x?

47, 52, 70, 82, x, x + 2, 98, 100, 105, 112

Find the modes of the following data:

63, 1, 5, 71, 63, 5, 85, 90, 1, 71, 56, 71, 90, 1, 5, 8

The given data shows the distance (in km) between the residence and the work place of each of 20 doctors.

3, 4, 5, 11, 3, 18, 6, 7, 12, 11, 6, 6, 9, 21, 20, 17, 16, 12, 11, 7

The range of the given data is ______.

Directions: In the following question, three lists of data are given.

List I: 80, 81, 82, 83, 84, 85
List II: 85, 85, 85, 85, 85, 85
List III: 50, 60, 70, 85, 90, 95

The order of data lists I, II and III, arranged in ascending order of their median is:

What is the mode of the following data, if the students are standing according to the marks they scored in the class?

51, 58, 56, 96, 85, 75, 87, 23, 25, 56, 57, 66, 69, 85, 45, 96, 52, 43, 85, 99, 92, 47, 59 and 66.

Find the mode of the fee paid by the students of the college.

The mean of 20 observations is p. If each observation is multiplied by 3 and then 1 is added to it, the new mean obtained will be

If the median of a set of 7 distinct observations is 40.5 and each of the largest 3 observations of the set is increased by 17.5, then what will be the change in the median?

The following data has been arranged in ascending order. If the median of the data is 7, then what is the value of m?

2, m, m + 2, 10

Find the difference between the ranges of the given data sets.

The mean of 14 terms in a series is 7.5. If two terms are excluded from the series, the mean increases by 1.5. Now, which of the following two numbers should be added to the series to get the original mean back?

The average marks scored by Ajay in certain number of tests were 84. He scored 100 marks in his last test. If his average score of all these tests was 86, then the total number of tests he appeared in was

What is the value of p if the mean of the given data is 18?

The mean and median are to be calculated for 50 items. The mean is found to be 70 and the median is found to be 68. But later on it is found that due to some error in the data, the largest item was 150 instead of 140. Find the corrected mean and median, respectively.

Five years ago, the average age of A and B was 15 years. Today, the average age of A, B and C is 20 years. How old will C be after 10 years?

The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states. Find the mean percentage of female teachers.

The average age of a class of 30 students and a teacher decreases by 0.5 year, if we exclude the teacher. If the overall average is 14.5 years, then find the age of the teacher.

Three years ago, the average age of a family of 5 members was 17 years. On addition of a child to the family, the present average age of the family is still the same. The present age of the child is

Match the following:

Fill in the blanks with the help of the given table.

(i) The mean of a certain set of observations is 20. If each observation is divided by 2, then the new mean of the set of observations is P .
(ii) Q is that value of the given number of observations which divides it into exactly two parts.
(iii) The difference between the highest and lowest values in a given data is known as R of the data.
(iv) The points scored by John in 7 games of darts are 8, 10, 12, 13, 13, 13 and 5. The median of the given observations is S .

For 14 consecutive days, the number of persons booked for violating the speed limit of 40 km/hr was as follows:

59, 52, 58, 61, 68, 57, 62, 50, 55, 62, 53, 54, 51, 56

Find :
(i) Mean
(ii) Median
(iii) Mode

What were the average sales per month?

For the period from January to June, the percentage of net profit to sales was