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(C) Which group has a higher Math IQR, according to JMP? (You can change what su

ID: 3272590 • Letter: #

Question

(C)
Which group has a higher Math IQR, according to JMP? (You can change what summary statistics are output by clicking the red triangle by Summary Statistics and selecting "Customize Summary Statistics." Notice that there is no check next to "Interquartile Range" under options (close to the bottom of the list). Check the box and then OK for IQR to appear on the output. ( male or female ?) and is IQR for male ?

(d) which group has a lower math standard deviation ( female or male ?) and what is the standard deviation for males?

(e) which group has a higher 90th percentiile of the math scores ( male or female ? )

(f) are there outliers in either group ?

(a) which group has a higher median math score ? ( female or male )

what is the median score for the males ??

(b) which group has a lower mean math score ??

what is the mean score for the males

There has been an increasing emphasis in recent years to make sure that young women are given the same opportunities to develop their mathematical skills as males in U.S. educational systems. The following table provides the average SAT scores for male and female students over the past 35 years. (Please use IMP to complete this problem. Don't do this by hand.)

Explanation / Answer

Male /Verbal

Population size: 13
Median: 507
Minimum: 501
Maximum: 540
First quartile: 505
Third quartile: 514.5
Interquartile Range: 9.5
Outliers: 540 536

Female/Verbal

Population size: 13
Median: 502
Minimum: 496
Maximum: 545
First quartile: 497.5
Third quartile: 506.5
Interquartile Range: 9
Outliers: 545 538

Male/Math

Population size: 13
Median: 525
Minimum: 515
Maximum: 535
First quartile: 521.5
Third quartile: 533
Interquartile Range: 11.5
Outliers: none

mean - 526.2308

sd = 6.5084

Female /Math

Population size: 13
Median: 490
Minimum: 473
Maximum: 500
First quartile: 481.5
Third quartile: 496.5
Interquartile Range: 15
Outliers: none

mean = 488.6154

sd = 8.3918

(a) which group has a higher median math score ? ( female or male )

Male {525 >490}

what is the median score for the males ?

- 525

(b) which group has a lower mean math score ?

female { 488.6154 < 526.2308}

what is the mean score for the males

526.2308

C)
Which group has a higher Math IQR, according to JMP? (You can change what summary statistics are output by clicking the red triangle by Summary Statistics and selecting "Customize Summary Statistics." Notice that there is no check next to "Interquartile Range" under options (close to the bottom of the list). Check the box and then OK for IQR to appear on the output. ( male or female ?) and is IQR for male ?

Female {15 > 11.5}

IQR for male - 11.5

IQR for female - 15

(d) which group has a lower math standard deviation ( female or male ?) and what is the standard deviation for males?

male - sd = 6.5084

female - sd = 8.3918

male has a lower sd

(e) which group has a higher 90th percentiile of the math scores ( male or female ? )

Male has a higher 90th percentiile of the math scores

(f) are there outliers in either group ?

no outliers

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