6.02 mc)
the harlowe school district gives awards to its schools based on overall student attendance. the data for attendance are shown in the table, where low represents the fewest days attended and high represents the most days attended for a single student.

school low high range mean median iqr σ
high school a 98 180 82 158 148 55.5 35.2
high school b 105 180 75 145 124 48.5 28.2
high school c 102 180 78 169 151 53.5 31.3
part a: if the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? justify your answer mathematically. (5 points)

part b: if the school district wants to award the school with the highest average attendance, which school should it choose and why? justify your answer mathematically. (5 points)

(10 points)

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2. (06.05 mc)
a company did a survey among 100 customers to find their car preferences. the customers were asked about their preferences for sedans or hatchbacks. out of the total 25 people who liked sedans, 15 liked hatchbacks also. there were 40 people who liked hatchbacks.

part a: summarize the data by writing the values that the alphabets a to i in the table below represent. (5 points)

like sedans do not like sedans total
like hatchbacks a b c
do not like hatchbacks d e f
total g h i
part b: what percentage of the total people did not like either sedans or hatchbacks? (3 points)

part c: do the people surveyed have more dislike for sedans than hatchbacks? justify your answer. (2 points)

(10 points)
(06.07 hc)
a student is assessing the correlation between the average number of hours of internet browsing and average score on a math test for the students of a class. the table below shows the data:

number of hours of internet browsing
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
score on math test
(y) 95 94 93 92 91 90 89 87 86 85
part a: is there any correlation between the average number of hours of internet browsing and average score on the math test for the students of the class? justify your answer. (4 points)

part b: write a function which best fits the data. (3 points)

part c: what does the slope and y-intercept of the plot indicate? (3 points)

(10 points)