If quartile deviation of 20 items is 20 and mean is 30, then value of mean deviation will be

Which two of the following statements are true? a) The sum of the deviations from mean (ignoring algebraic signs) is greater than the sum of the deviations from median (ignoring algebraic signs) b) Standard deviation is independent of change of origin and change of scale c) In a symmetrical distribution, mean deviation equals 4/5 of standard deviation d) In a symmetrical and bell shaped distribution quartile deviation is 1/3 of standard deviation Choose the correct answer from the options given below

A

b) and d)

B

a) and c)

C

c) and d)

D

a) and b)

Consider the following statements:
1. Quartile deviations is more instructive range as it discards the dispersion of extreme items
2. Coefficient of quartile deviaton cannot be used to compare the degree of variations in different distributions
3. There are 10 deciles for a series
Which one of the above statements is/are correct?

A

1, 2 and 3

B

2 alone

C

3 alone

D

1 alone

Consider the following statements regarding inspection and quality control: 1. Coefficient of variation is a relative measure of dispersion. 2. Standard deviation is the root mean square of the deviation of all the results. 3. Standard deviation is relative measure of dispersion. 4. Lower value of standard deviation indicates low degree of uniformity of observations. Which of the above statements are correct?

A

1 and 4 only

B

2 and 3 only

C

1 and 2 only

D

2 and 4 only

A class of first year B. Tech. students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch Chave a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It isdecided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 to

A

6.0

B

7.0

C

8.0

D

9.0

Match the items of List - II with the items of List - I and select the code of correct matching List - I List - II (a) Chi-square Test (i) Testing the significance of the differences of the mean values among more than two sample groups. (b) ANOVA (F-test) (ii) Testing the goodness of fit of a distribution (c) Z - test (iii) Testing the significance of the difference of the mean values between two large sized samples (d) t - test (iv) Testing the significance of the difference of the mean values between two small sized samples when population standard deviation is not available

A

(a) - (i), (b) - (ii), (c) - (iii), (d) - (iv)

B

(a) - (iv), (b) - (iii), (b) - (ii), (d) - (i)

C

(a) - (i), (b) - (ii), (c) - (iv), (d) - (iii)

D

(a) - (ii), (b) - (i), (c) - (iii), (d) - (iv)

Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables.
Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct while Statement II is incorrect

D

Statement I is incorrect while Statement II is correct

The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. In a garments shop, there are 2 items shirts and jeans. Find which of these two items is greater in quantity? Statement I∶ The price of a shirt and a jeans is Rs. 150 and Rs. 250 respectively. Statement II∶ The total price of all the items together is Rs. 4200. Statement III∶ The average of price of all the items in the shop is Rs. 210.

A

Any two statements together are sufficient to answer the question.

B

All the statements together are required to answer the question.

C

Statement I and II together are sufficient to answer the question.

D

Statement II and III together are sufficient to answer the question.

E

Statement I and III together are sufficient to answer the question.

A factory produces certain number of items out of which ratio of sold to unsold items is 7 : 3. If difference between sold to unsold items is 100, then what is the total number of items produced by the factory?

A

300

B

250

C

125

D

175

The mean of 20 items is 55. If two items 45 and 30 are removed, the new mean of the remaining items is :

A

65.1

B

65.3

C

56.9

D

56

A researcher conduct a hypothesis test and observes values from sample mean and sample standard deviation when n = 25, that do not lead to rejection of null hypothesis. He calculates the p value as 0.0667. What will happen to the p value if he observes the same sample mean and standard deviation for a sample > 25?

A

Stay the same

B

Increase

C

Decrease

D

May increase or decrease

If quartile deviation of 20 items is 20 and mean is 30, then value of mean deviation will be

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