The weights to the nearest kilogram, of a group of 50 students in a College of Technology are given below: 65, 70, 60, 46, 51, 55, 59, 63, 68, 53, 47, 53, 7...

The weights to the nearest kilogram, of a group of 50 students in a College of Technology are given below:

65, 70, 60, 46, 51, 55, 59, 63, 68, 53, 47, 53, 72, 53, 67, 62, 64, 70, 57, 56, 73, 56, 48, 51, 58, 63, 65, 62, 49, 64, 53, 59, 63, 50, 48, 72, 67, 56, 61, 64, 66, 52, 49, 62, 71, 58, 53, 69, 63, 59.

(a) Prepare a grouped fraquency table with class intervals 45 - 49, 50 - 54, 55 - 59 etc.

(b) Using an assumed mean of 62 or otherwise, calculate the mean and standard deviation of the grouped data, correct to one decimal place.

(a) Grouped frequency table

Column 1	Column 2	Column 3
Data	Data	Data
Data	Data	Data
Data	Data	Data

Class Interval	Tally	Frequency, \(f\)
45 - 49	||||| |	6
50 - 54	||||| ||||	9
55 - 59	||||| |||||	10
60 - 64	||||| ||||| ||	12
65 - 69	||||| ||	7
70 - 74	||||| |	6
Total		50

(b) Let the assumed mean, \(A = 62\).

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Answer Details

(a) Grouped frequency table

Class Interval	Mid-value, \(x\)	\(d=x-62\)	\(d^2\)	\(f\)	\(fd\)	\(fd^2\)
45 - 49	47	-15	225	6	-90	1350
50 - 54	52	-10	100	9	-90	900

Column 1	Column 2	Column 3
Data	Data	Data
Data	Data	Data
Data	Data	Data

Class Interval	Tally	Frequency, \(f\)
45 - 49	||||| |	6
50 - 54	||||| ||||	9
55 - 59	||||| |||||	10
60 - 64	||||| ||||| ||	12
65 - 69	||||| ||	7
70 - 74	||||| |	6
Total		50

(b) Let the assumed mean, \(A = 62\).

<

Read lesson note on Polynomials (JAMB)

Read lesson note on Linear Inequalities (WAEC)

Read lesson note on Measures Of Dispersion (JAMB)

Polynomials

Linear Inequalities

Measures Of Dispersion

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Class Interval	Mid-value, \(x\)	\(d=x-62\)	\(d^2\)	\(f\)	\(fd\)	\(fd^2\)
45 - 49	47	-15	225	6	-90	1350
50 - 54	52	-10	100	9	-90	900