Question

(9 marks) 6) The data below shows the mass of 40 students in class. The measurement is the nearest kg. 55 70 57 73 55 64 60 48 59 72 58 54 69 51 63 78 75 64 65 57 71 78 76 62 66 62 61 53 67 49 76 63 63 76 52 76 71 61 56 71 A) Construct a frequency distribution table with 7 classes for the data given above? B) Draw the histogram for the data of above frequency distribution table. C) Draw the polygon for the data of frequency distribution table. D) Draw the Ascending cumulative frequency polygon for the data of frequency distribution table. (9 marks) 7) Consider the following frequency distribution, representing the degree of an examination of 50 students of a class: 0.40 8 50 Class Class Ascending Class Limit Relative Boundaries Frequency Cumulative Midpoint Frequency Frequency (ACF) 2-4 6 5-7 0.24 8-10 22 11-13 14-16 Total A) Complete the above frequency distribution table. B) Calculate the mean. C) Calculate the median. D) Calculate the mode. E) Calculate the variance and standard deviation of the above frequency distribution table. (15 marks) 8) Let the following data be marks obtained (out of 100) by 10 students in a test: 45 45 63 76 67 84 75 48 62 65 A) Calculate Q1, Q2 and Q3. B) Calculate the percentile P45, decile D. C) Calculate the IQR. D) Does the given data contain an extreme value? E) Construct the box plot for the given data.

Answer 1

Question 6:

(a) The frequency distribution is:

							cumulative
lower		upper	midpoint	width	frequency	percent	frequency	percent
45	<	49.99	48	5	2	5.0	2	5.0
50	<	54.99	53	5	4	10.0	6	15.0
55	<	59.99	58	5	7	17.5	13	32.5
60	<	64.99	63	5	10	25.0	23	57.5
65	<	69.99	68	5	4	10.0	27	67.5
70	<	74.99	73	5	6	15.0	33	82.5
75	<	79.99	77	5	7	17.5	40	100.0
					40	100.0

(b) The graph is:

Histogram 30 25 20 Percent 15 10 5 0 09 65 45 50 55 10 75 80 Data

(c) The graph is:

Frequency Polygon 30.0 25.0 20.0 Percent 15.0 10.0 5.0 + + 0.0 45 50 55 70 75 60 65 Data

(d) The graph is:

Ogive 100.0 75.0 Cumulative Percent 50.0 25.0 0.0 45 50 55 70 75 60 65 Data

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