Question

Enrollments for Selected Independent
Religiously Controlled 4-Year Colleges Listed below are the enrollments for selected
independent religiouslycontrolled 4-year colleges which offer bachelor's degrees only.
1013 1867 1268 1666 2309 1231 3005 2895 2166 1136
1532 1461 1750 1069 1723 1827 1155 1714 2391 2155
1412 1688 2471
1319 1037 2400
1759 3008 2511 2577 1082 1067 1062
a) Construct a grouped frequencydistribution with six classes
b) Calculate the mcan, median and modal class.
c) Describe the skewness of the distribution
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Answer 1

Given : Enrollments for Selected Independent  Religiously Controlled 4-Year Colleges

1013 1867 1268 1666 2309 1231 3005 2895 2166 1136  1532 1461 1750 1069 1723 1827 1155 1714 2391 2155  1412 1688 2471  1319 1037 2400

1759 3008 2511 2577 1082 1067 1062

To  Find : a) Construct a grouped frequencydistribution with six classes

b) Calculate the mcan, median and modal class.

c) Describe the skewness of the distribution

​

Solution:

Min   1003

Max  3008

6 classes        

Class                  frequency cf       mean class  d=(Mean-1875)/350 df

1000 - 1350           11             11        1175            -2                      -22

1350 - 1700           5             16         1525         -1                         -5

1700 - 2050          6             22       1875           0                         0

2050 - 2400         4              26     2225           1                          4

2400 - 2750         4             30       2575           2                         8

2750 - 3200         3             33       2925            3                        9

                            33                                                                    -6

Direct Mean  = 58726/33 = 1,779.57

Mean from grouped frequency

Mean class =   1700 - 2050

= 1875  + 350 (-6)/33

= 1875  - 63.63

= 1,811.37

Median class = 1700 - 2050

Median =  1700  + 350 x ( 33/2 - 16) /6

= 1700 + 29.16

= 1729 .16

Modal class = 1000 - 1350

Mode = 1000 + 350 x 11/(11 + 11 - 5)

= 1226

Mean > median > Mode

Positive skewness ( right skewed)

Learn More:

Q1 = 62, Q3=86 & coefficient of skewness =0.5 the melian is

https://brainly.in/question/22236852

In a data distribution the first quartile, median and mean are 30.8 ...

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Answer 2

Answer:

Step-by-step explanation:

Enrollments for Selected Independent

Religiously Controlled 4-Year Colleges Listed below are the enrollments for selected

independent religiouslycontrolled 4-year colleges which offer bachelor's degrees only.

1013 1867 1268 1666 2309 1231 3005 2895 2166 1136

1532 1461 1750 1069 1723 1827 1155 1714 2391 2155

1412 1688 2471

1319 1037 2400

1759 3008 2511 2577 1082 1067 1062

a) Construct a grouped frequencydistribution with six classes

b) Calculate the mcan, median and modal class.

c) Describe the skewness of the distribution

​