Question

Question 3)The final grades in Math class of 80 students at State University are recorded in the accompanying table.

53	62	68	73	75	78	82	88
57	62	68	73	75	78	83	89
59	63	68	73	75	78	84	90
60	63	69	74	76	78	85	93
60	65	71	74	76	79	85	93
60	65	71	75	76	79	85	94
61	65	71	75	76	79	86	95
61	66	72	75	77	80	87	95
62	67	72	75	77	81	88	95
62	67	73	75	78	82	88	m

A.The given data set is in ascending order. If class interval size is 3 for the constructed 14 classes, find “m”.(Note: This section is not related with section B)

B.Construct a frequency table with 8 classes and find its frequencies.

i)Find median class

ii)Sketch the ogive curves by using either the cumulative frequency or the cumulative relative frequency.

iii)Using the ogive curve find the following probabilities:

P(x<76.5)=

P(x>88.5)=

P(x>84)=

P(x<90)=

P(74<x<92)=

P(x=78)=

iv)Find interquartile range (IQR)

v)Sketch box and whisker plot.

vi)Comment on skewness.

vii)The standard deviation and mean of another math class of 49 students from Technology University is 10.3 and 88.6, respectively. Compare the Math class in State University with Math class in Technology University, which one is more consistent? In other words which Math class has less spread of values around its mean? Show your work and explain why?Note: You can find the necessary parameters for the State University either from raw data given or from the frequency table you constructed.

Answer 1