# Calculating the Measure of Central Tendency

Based upon the following chart please respond to the problems listed below the chart.

Standard Test Scores

Name Gender Absences PE Math Writing Reading

Alex Boy 5 49 85 86 80

Anthony Boy 18 51 39 71 75

Douglas Boy 1 82 74 78 79

Jorge Boy 4 56 66 68 60

Joshua Boy 5 83 79 78 77

Luke Boy 0 94 89 84 84

Robert Boy 17 36 36 56 50

Rupert Boy 4 24 55 56 52

Seth Boy 0 61 92 89 83

Wayne Boy 1 65 92 96 91

Blair Girl 3 94 59 66 90

Brooke Girl 2 75 35 43 46

Carmen Girl 0 49 91 91 90

CharlitaGirl 16 23 49 55 49

Kim Girl 2 71 90 92 95

Li Girl 1 73 98 93 95

Rachel Girl 2 92 87 92 91

Sara Girl 3 33 87 93 94

Sheetal Girl 0 18 100 97 97

Tawayna Girl 14 31 65 55 63

a. Calculate all measures of central tendency for data that are interval or ratio in measurement.

b. Calculate the standard deviation for data that are interval or ratio in measurement.

c. Assume this is a sample of students, calculate a t-test that compares boys and girls on the number of absences(there is an assumption of equal variances. Is there a significant difference in absences between gender?

d. Assume this is a sample of students and that students receive an A grade if their score is 90 or above. Calculate a chi-square test to determine whether girls achieve more A grades than boys in math. Calculate a chi-square test to determine whether girls achieve more A grades than boys in reading.

https://brainmass.com/statistics/quantative-analysis-of-data/statistical-problems-244406

#### Solution Preview

Statistical Problems

Based upon the following chart please respond to the problems listed below the chart.

Standard Test Scores

Name Gender Absences PE Math Writing Reading

Alex Boy 5 49 85 86 80

Anthony Boy 18 51 39 71 75

Douglas Boy 1 82 74 78 79

Jorge Boy 4 56 66 68 60

Joshua Boy 5 83 79 78 77

Luke Boy 0 94 89 84 84

Robert Boy 17 36 36 56 50

Rupert Boy 4 24 55 56 52

Seth Boy 0 61 92 89 83

Wayne Boy 1 65 92 96 91

Blair Girl 3 94 59 66 90

Brooke Girl 2 75 35 43 46

Carmen Girl 0 49 91 91 90

CharlitaGirl 16 23 49 55 49

Kim Girl 2 71 90 92 95

Li Girl 1 73 98 93 95

Rachel Girl 2 92 87 92 91

Sara Girl 3 33 87 93 94

Sheetal Girl 0 18 100 97 97

Tawayna Girl 14 31 65 55 63

a. Calculate all measures of central tendency for data that are interval or ratio in measurement.

b. Calculate the standard deviation for data that are interval or ratio in measurement.

c. Assume this is a sample of students, calculate a t-test that compares boys and girls on the number of absences(there is an assumption of equal variances. Is there a significant difference in absences between gender?

d. Assume this is a sample of students and that students receive an A grade if their score is 90 or above. Calculate a chi-square test to determine whether girls achieve more A grades than boys in math. Calculate a chi-square test to determine whether girls achieve more A grades than boys in reading.

Solution:

a. Calculate all measures of central tendency for data that are interval or ratio in measurement.

Using Microsoft excel

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#### Solution Summary

The solution calculates the measure of central tendency. The standard deviation for data is determined.