80.2K

Verified Solution

Link Copied!

Question 3)The final grades in Math class of 80 students atState 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 intervalsize is 3 for the constructed 14 classes, find “m”.(Note: Thissection is not related with section B)

B.Construct a frequency table with 8 classes and find itsfrequencies.

i)Find median class

ii)Sketch the ogive curves by using either the cumulativefrequency 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

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 49students from Technology University is 10.3 and 88.6, respectively.Compare the Math class in State University with Math class inTechnology University, which one is more consistent? In other wordswhich Math class has less spread of values around its mean? Showyour work and explain why?Note: You can find the necessaryparameters for the State University either from raw data given orfrom the frequency table you constructed.