Statistics Test...

The mean of the numbers, 5, 6, 7, 8, 9 and x, is 8 and the median of the numbers, 4, 5, 5, 6, 6 and p, is 5. If p is a one-digit number, then what can be the highest value of x + p?

A type of frequency polygon that shows cumulative frequencies is called ________.

The mean of 7 observations is 71. Even if two numbers are excluded, the mean stays the same. One of the excluded numbers is 72. What is the other excluded number?

Find the mode for the given data (Write the answer up to two decimal places).

The average of two observations, a and 12, will become c, when both the observations are doubled and one is added to each observation. The average of two observations, 5a and 16, will become d, when both the observations are doubled and one is added to each observation. What is the average of c and d?

In an athletic event held at a school, the average score of boys was 67 and that of girls was 65. If average score of all the students in the athletics event was 65.8, then find the ratio of the number of boys who participated in the athletics event to the number of girls who participated in the athletics event.

Find median using an empirical relation when it is given that mean and mode are 12.5 and 9.8, respectively.

Out of 40 numbers, the mean of 15 observations is 18, and the mean of the remaining observations is 15. What is the mean of all 40 observations?

The mean of n numbers of a series is and the sum of first (n - 1) numbers is λ. The value of the last number is

The mean of 12 observations was 40. On rechecking, it was detected that the value of 106 was wrongly copied as 10, for computation of mean. Find the correct mean.

The mode of a frequency distribution with class intervals is found by using which type of graphical representation?

There are 3 sections viz. A, B and C with 25, 40 and 35 students, respectively in grade X. The average marks of section A are 70%, of section B are 65% and of section C are 50%. Find the average marks (in percentage) of the entire grade X.

Find the value of the missing frequency if the mean of the given data is 16.8

The average amount of money saved by Jasmine in 11 weeks is Rs. 1,650, out of which Rs. 1,500 is the average amount that she saved in 7 weeks and Rs. 1,780 is the average amount that she saved in the last 5 weeks. How much did she save in week 6 if she saved Rs. 1,000 more in week 6 than her savings of 7^th week?

If the frequency of median class is 20, the number of observations are 68, the cumulative frequency of the class preceding the median class is 26, and the upper limit of the median class is 145, then find median with class size 20.

The mean weight of 150 students in 6^th class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. The number of boys and girls in the class are respectively

The time taken by a train to travel from station A to B is 35 minutes. If the speed of the train had been 10 km/hr lesser, it would have taken 42 minutes to complete the journey. If the train covers 30% of the distance at 30 km/hr and the remaining at 35 km/hr, then find the approximate average speed of the train during the journey.

The average marks scored by 30 students in a test are 78. The marks of student A were marked 62 instead of 78, and the marks of student B were marked 98 instead of 55. Find the correct average of marks scored by the 30 students.

The number of music CDs sold by four shopkeepers, on different days of the week, are as follows:

The average marks scored by Harpreet and Gurpreet in three tests are 57 and 61, respectively. If the ratio of the marks scored by them in English is 7 : 9, find the average marks of Gurpreet in the other two tests, given that the average marks scored by Harpreet in the other two subjects were 54.

Fill in the blanks.

(i) The cumulative frequency of a class is the frequency obtained by P the frequencies of all the classes preceding the given class.
(ii) The mean of 80 numbers is 36. The new mean will be Q if each observation is decreased by 8.
(iii) The mean of 17 consecutive natural numbers is 80, then the centre-most number is R .

The median of the following data is 425. Find the missing frequencies if there are 150 observations in the data.

Find the mean, median and mode of the following data.

The table shows the distribution of marks obtained by a group of 165 students in Science examination (maximum marks 100).

Find the median for the following distribution of employees.