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Solve for the indicated values. Problem: The IQ scores for a sample of 24 students who are entering their first year of college are: 115      119      119      134 121      128      128      152   97       108       98      130 108      110      111      122 106      142      143      140 141      151      125      126 a. Find the mean IQ score. b. Find the median IQ score. c. Find the modal IQ score. d. Find the range. e. Find the variance f. Find the standard deviation. g. Find the coefficient of variation.​

Sagot :

a. The mean is 123.9

b. The median is 123.5

c.mode=108,119,128

d. The range is 55

e. The variance is 246.341

f. The standard deviation is 15.7

g. The coefficient of variation is 12.672 We have given data of 24 students

arranging in ascending order

97,98,106,108,108,110,111,115,119,119,121,122,125,126,128,128,130,134,140,141,142,143,151,152.

What is the formula for mean?

[tex]Mean=\frac{sum of data set}{number of data set}[/tex]

[tex]X=\frac{115+119+........+126}{24} \\X=123.91[/tex]
a. The mean is 123.9

[tex]median=\frac{12 th term+13th term}{2} \\=\frac{247}{2} \\=123.5[/tex]

b. The median is 123.5

C . mode

first model=108

second model=119

third model=128

mode= most number of times appear data

Similarly use the formula and find

d. The range is 55

e. The variance is 246.341

f. The standard deviation is 15.7

g. The coefficient of variation is 12.672

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