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7 th grade Final Health Science Exam Scores Drake 99 Taylor 89 Tori 86 Carrie 77

ID: 3067566 • Letter: 7

Question

7th grade Final Health Science Exam Scores

Drake

99

Taylor

89

Tori

86

Carrie

77

Katie

86

Amy

50

Talib

85

Dante

89

Tori

77

Tyler

48

Raekwon

86

Shawn

99

1. Calculate the Mean

2. Calculate the Median

3. What is the Mode?


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Please indicate the level of measurement for each variable.

1) Age _____

2) Height _____

3) Class standing (freshman, sophomore, junior, senior) ___

4) Gender ___

5) Length of time it takes to get to school _____

6) High temperature ___

7) Shirt size (small, medium, large) ___

8) Number of siblings _____

9) Country of birth ___

10) Eye color ___

11) Level of satisfaction with bookstore ___

12) Income _____

13) Zip code ___

14) GPA _____

15) Perceived speed of computer (very slow, … , very fast _____

Drake

99

Taylor

89

Tori

86

Carrie

77

Katie

86

Amy

50

Talib

85

Dante

89

Tori

77

Tyler

48

Raekwon

86

Shawn

99

Explanation / Answer

Mean of the above data is also known as the average. It is calculated as follows : Total of final exam scores/ Number of exam scores

(99+89+86+77+86+50+85+89+77+48+86+99)/12= 80.92

Median- Middlemost value of the exam scores. For the given date we will first arrange the scores in ascending order. We have total 12 observations. So the middlemost value will be between 6 and 7 ie 6.5. we have: 48,50,77,77,85,86,86,86,89,89,99,99. The 6th value is 86 and the 7th value is also 86. So the required median is 86.

Mode: In the distribution above mode is the value which has the highest frequency(ie it occurs the most number of times). From the data above we find 86 has been observed 3 times(highest frequency here) so it is the required mode.

Level of measurement of the following variables:

Age, Height, Income, GPA,length of time it takes to get to school-Interval/Ratio level

Gender, Speed of computer, eye color, shirt size, class standing, - Nominal level

Level of satisfaction with bookstore, country of birth, - Ordinal level

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