Dear Customer

thank you for requesting me

here are the answers:

1.)

for the mean just add all scores and divide the sum by the number of scores

so for the first 7 data:

mean = (57 + 61 + 57 + 57 + 58 + 57 + 61) / 7

= 408 / 7

= 58.2857 (approx)

median = the middlemost score in an arranged set of scores

the arranged data is 57, 57, 57, 57, 58, 61, 61

so the middlemost score is the 4th score and the 4th score is 57

therefore the median is 57

range is highest score - lowest score = 61 - 57 = 4

a.)

First 7 Second 7
57 61
61 52
57 69
57 64
58 46
57 54
61 47
mean 58.2857 56.1429
median 57.00 54.00
range 4 23


b.)

to find the standard deviation using rule of thumb, just divide the range by four so the standard deviation are 1 and 5.75 respectively


the sum of the scores in the group is higher than that of the second group, also the middlemost score in the first group is higher than that of the 2nd group.

but the first group has a smaller range and sd which means that the scores in the first group are closer to one another compared with that of the 2nd group




2.)

all of them can be true

a.) no mode is true if all scores have the same frequency

b.) two modes if exactly two scores have the same frequency and that frequency is the highest

c.) three modes if exactly 3 scores have the same frequency and that frequency is the highest




3. Indicate whether the given statement could apply to a data set consisting of 1,000 values that are all different.
a. The 29th percentile is greater than the 30th percentile.

This is false and is not applicable

b. The median is greater than the first quartile.

This is true and is applicable

c. The third quartile is greater than the first quartile.

This is true and is applicable

d. The mean is equal to the median.

this is maybe true or false, it is not always true or not always false

e. The range is zero

This is false, since the scores are different, then the range can not be zero. A zero range is applicable only if all the scores are the same

4.) Sample sizes is one of the factors in rejecting or failing to reject the null hypothesis. The larger the sample size, the greater the probability of rejecting the null hypothesis and the more probably significant is the result


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