Statistics Test...

If we increase the mean of the given data by adding 3 to each observation, then by what percentage would the mean increase when compared to the original mean?

3, 5, 9, 12, 5, 7, 3, 4 and 6

If the mode of the given data is 2, then what would be the mean of the given data?

2, x, 4, 2, 3, 4, 5, 7, 9, 2, 7, 4

If the median of p + 2, p + 3, p + 8, p + 4 and p + 5 is 12, then what would be the difference between the median and the mean of the data (Where p is a positive number)?

Mean of 30 observations was 56 when one number, that is 42 was misread as 24. If the mistake is corrected and each observation is multiplied by 3, what will be the new mean?

If the mode is 18, what would be the ratio of the missing value and the median of the data?

11, 12, 8, 10, 16, 18, 24, 21, 18, x, 11, 31, 43, 36, 39, 41, 42, 28, 45, 46 and 30.

Find the value of x from the following scores (out of 10), scored by 30 kabaddi players in the series of matches where mean is 10 and median is 9:

5, 5, 6, 7, 9, 5, 4, 5, 6, 5, 9, 5, 6, 5, 7, 1, 2, 4, 7, 3, 2, x, 7, 7, 4, 3, 1, 0, 7.

If the average time taken by 12 students for making project A is 5 hours and the average time taken by 8 students for making project B is 3 hours, then what would be the mean time of the students for both the projects?

In a data of 50 observations, the mean of the first 35 observations is 53 and the last 15 observations is 25. If 5 is added to each of the first 35 observations and 3 is subtracted from each of the last 15 observations, then what is the mean of the 50 observations altogether?

The students in a school are arranged in a queue in descending order as per their heights. If the median of heights (in cm) of students are 197, 195, 192, 187, 185, 183, 181, 180, p, 178, 174, 172, 169, 162, 150, 149, 145, q is 179, where p is double in height as compared to q, then what is height (in cm) of q?

Given that p is the mean of a₁, a₂, ... , a_n. If we add z (not equal to zero) in each observation and after that multiply each observation with z, what will be the new mean?

If the mean of the following marks is 30, then what will be the number of students who scored the highest marks?

In a class there are 40 students and their mean marks are 80. If 20 students who have mean marks equal to 15, leave the class and after that 15 more student who have mean marks 30, admit in the class, find the new mean (approximate).

Find the difference between the median and the mean of all the two-digit numbers in which the ones digit is one more than the tens digit.

Which of the following terms in the given series must not be changed in order to keep the median same?

78, 23, 56, 1, 22, 89, 101, 103

Directions: This question is based on the table below:

The frequencies of numbers 3, 5, 6 and 4 are x, x + 2, x - 8 and x, respectively. If their mean is 4, then the value of x will be

A shop-keeper made a list of the weights of the cakes (in grams) sold by him in a day, which is as follows:
200, 250, 500, 200, 500, 1000, 550, 750, 200, 1000, 950, 900, 850, 750, 650, 650, 500, 200, 350, 450, 400, 500, 550, 750, 500, 850, 950, 1000
If the intervals in the data are maintained in such a way: 1 - 200, 201 - 400, 401 - 600, 601 - 800, 801 - 1000, find the ratio of the frequency of the number of cakes sold in category 201 - 400 to 401 - 600.

The mean of x + a, x + 2, x + 4, x + 13 and 2(x + 5) is 16. Given, 10 > a > 4, 10 > x > 4 and (x + 4) < (x + a) < (x + 13). The median of the given data is the same as that of the mean.

Find the value of 'a'.

In a departmental store on Wednesday, 15 candies, 11 chocolates, and 15 t-shirts were sold. On the same day, there was a sale of denims and jackets where the sale of denims was double the sale of jackets. If the average count of all the products sold was 16, find the number of denims and jackets sold together.

In a park there are 120 marbles in which red, blue and green marbles are in the ratio 5 : 4 : 3. The average weight of the blue marbles is 30 grams, that of the red marbles is 60 grams and that of the green marbles is half that of the blue marbles. Find the mean weight of all the marbles.

Directions: Read the following frequency table carefully and answer the question.

The arithmetic mean of 7n and 9 is a, that of 8n and 38 is b and that of 6n and 28 is c. According to this information, what would the arithmetic mean of a, b and c be?

Match the following:

State 'T' for true and 'F' for false for the following statements:
(1) The mean of a certain set of observations is. If each observation is multiplied by, the new value of the mean will be.
( 2) The scores of A are 35 which can be represented in tally as.
(3) The following data has been arranged in ascending order. If the median of the data is 9, the value of x is 4.
8, 2x, x + 6, 25
(4) The mean of 7, 5, 18, 24, n + 4 and n is 13. The value of n is 10.
(5) The marks of 30 students of a class in a Science test are as follows:

Fill in the blanks.

(1) If the highest points scored by a person in a game are 5 more than the lowest marks scored by him, the range of this data is ____A____.
(2) If the frequencies of a class interval are a, 4a and 3a + 1, then the cumulative frequency of this class interval is ____B___.
(3) If the mean and the median of a certain set of observations are 4m and 6n respectively, then the mode is __C___.
(4) If the ratio of the mean and the median of a certain set of observations is 5 : 7, then the ratio of its mode to mean will be ____D____.