Calculate the first, second and third quartile for the following data:
| Class: | Below 30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80 and above | |||||||
| Frequency: | 69 | 167 | 207 | 65 | 58 | 27 | 10 | |||||||
Also find the quartile deviation and coefficient of quartile deviation.
To calculate the quartiles, quartile deviation, and coefficient of quartile deviation, we need to first organize the data into a cumulative frequency distribution. Then, we can find the quartiles and subsequently the quartile deviation and coefficient of quartile deviation.
Given data:
Class: Below 30 30-40 40-50 50-60 60-70 70-80 80 and above
Frequency: 69 167 207 65 58 27 10
Let's calculate ________ ________ ______ ________ _____ ______ ____ ____ ______ ___ _____.
__________ ____ _______ ________ _______ _______ _________ _________ __________ ________ _____.
_____ ___ _________ ___ ___ __________.
_________ _________ ____ __________ _________ _______ _______ _____ ______ ___ ________ ______.
________ __________ _______ _____ _____ _________.
_______ ____ ____ _________ _____ ________ ___ ___ ___ __________.
______ _______ ___ _____ _____ __________ _______ __________ _____ ____ ______ _______.
_______ _________ _______ _________ ____ __________ _____ __________ ____ ________ ______ __________.
______ _____ __________ ___ _________.
____ ________ _________ _________ __________ ___ ______ ________ ___ ___.
__________ ________ _______ _____ ___ _____ ______.
_______ ______ ________ _________ _______.
____ __________ __________ __________ ___ ______ __________ ___ ______.
_________ _____ ____ __________ __________ ________ _____ _____ _______ _____ _______ _____.
________ ________ ______ ____ _____ _______ ______ _______ ________ ___ ___ ________.
_____ ____ ___ _____ ________ __________ ___ ______ ______ _____ _____.
___ _______ ______ ______ ______ ____ ________ ___ ____ ________.
_________ _________ _________ ____ ___ ______ __________ _____ _________ _____ _____ ___.
___ ____ ___ _______ ______ ________ ________ ___ _____ ______ ____ ________.
____ _____ _________ ___ __________.
______ _____ ________ ______ ____ _______ ______ ______ ______ ___.
_______ __________ __________ _________ ____ ________ ____.
_______ _________ ___ ________ _____ _____.
_____ _______ _______ _____ ____ _______ _____ _______.
_____ _________ _________ ________ ____.
_____ _____ __________ ________ ________ __________ _______ _________ _________ __________ _____.
________ ________ __________ ________ ___ ___ _____ _____ ________ ___ ______ ______.
___ ______ __________ ___ _________ ________ ________ _________ _______.
__________ ______ ____ ________ ____ _____.
__________ ______ _____ ____ ________ ________ _______ ________ _________ _____ ________ ____.
_____ ___ ___ ____ ______ ______.
________ ____ _____ _________ ____ __________ ________.
________ _____ ____ ________ ______ ____ ___ ________ _______ _________.
____ _____ _____ __________ __________ _____ ________.
__________ ___ ________ ___ ______ _______ _________ __________ __________.
________ _________ __________ ______ _____ _______ ___ ______ _________ _____ _________ _____.
__________ ___ ________ ______ ____ ___.
____ _____ ____ _______ _________ _______ ______ ______ ___ __________.
______ _____ _________ _________ ________ ________ ___ _______ ___ _________.
_____ ________ ______ _____ _____ _____.
_________ ______ ________ _________ ____ ________ ______ _____ ___.
_____ _______ ____ ____ ____ ______.
_________ ___ ________ __________ _________ _________ ______ __________ ______ _________ ___ _______.
__________ _____ _________ _________ ____ ___ _________ ____.
___ _____ ___ ____ __________ ________ ______ ____ ____.
_______ __________ __________ ____ ____ ___ _______ _______.
___ __________ ________ ___ __________ ___.
_____ _____ __________ ________ ___.
______ __________ ______ ______ _________ ____ _______ __________ ________ __________ _________ ____.
_________ ___ _____ _____ __________ ______.
______ __________ _______ _____ ____ _____ _______ ________ __________ ___ __________ ________.
_______ __________ ___ _________ ____ ___ _____ _____ _______ __________ ____.
____ __________ ______ ______ _______ __________ ________ ________ __________.
____ _______ ______ ____ ________ _________ ______ ____ ______.
_____ ________ _____ ___ ____ ______ _________ ___ ____.
__________ ________ ______.
Get Full Answer on WhatsApp
600 candidates were appeared in an examination. The boys outnumbered girls by 15% of all candidates. Number of passed exceeded the number of failed candidates by 300. Boys failing in the examination numbered 80. Determine the coefficient of association.
Find the missing information from the following data:
| Group I | Group II | Group III | Combined | ||
| Number | 50 | ? | 90 | 200 | |
| Standard Deviation | 6 | 7 | ? | 7.746 | |
| Mean | 113 | ? | 115 | 116 | |
Board of Directors of Labour Union wishes to sample the opinion of its members before submitting a change in its contribution at a forthcoming annual meeting. Questionnaires are sent to a random sample of 200 members in three union locals. The results of the survey are as follows:
| Union Locals | |||||||||||||
| Reaction | A | B | C | Total | |||||||||
| Favour Change | 35 | 45 | 20 | 100 | |||||||||
| Against Change | 15 | 25 | 16 | 56 | |||||||||
| No Response | 10 | 10 | 24 | 44 | |||||||||
| Total | 60 | 80 | 60 | 200 | |||||||||
The equations of two regression lines are given as follows:
Calculate (i) regression coefficients, and
; (ii) correlation coefficient r(x, y); (iii) Mean of X and Y; and (iv) the value of
if
.
State whether the following statements are True or False and also give the reason in support of your answer.
a) If standard deviation of x is 5, standard deviation of y = 2x–3 is 7.
b) Mean deviation is least when calculated from the median.
c) The correlation coefficient between x and (a – x) is –1.
d) The regression coefficients byx and bxy of a data are 1.2 and 0.8, respectively.
e) If (AB) = 10, (αB) = 15, (Aβ) = 20 and (αβ) = 30 then A and B are associated.
Mean and Standard deviation of 18 observations are found to be 7 and 4, respectively. On comparing the original data, it was found that an observation 12 was miscopied as 21 in the calculations. Calculate correct mean and standard deviation.
The frequency distribution of the marks obtained by the 25 students each of the two sections is given as follows:
| Marks: | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
| Section A: | 2 | 5 | 10 | 5 | 3 |
| Section B: | 3 | 7 | 8 | 5 | 2 |