All application questions will use the same set of data

1. The calculus teachers want to compare the marks between the three classes. The following is data from a test from just some calculus students.

82, 76, 33, 67, 87, 94, 95, 90, 84, 64, 78, 79, 87, 82, 90, 95, 98, 67, 40, 78

a) Identify the population of this survey. Are the test results shown a sample or population?

b) Determine the mean Round to nearest whole number.

c) Determine the median

d) Determine the mode

e) Determine Q1 , Q3 and the IQR

f) Draw a box and whiskers diagram for the data

g) Determine the standard deviation

h) Determine the variance Round to two decimals places if necessary

i) Determine the value of the 60th percentile

j) Determine the percentile for the person who scored a 76

k) Organize the data into an interval frequency table

l) Determine the cumulative frequency for the interval frequency table and add it above

m) Determine the relative frequency for the interval frequency table and add it above Round to two decimal places if necessary

n) Which type(s) of graphs can you use to draw for the frequencies of this question?

p) Determine the mean for the interval frequency table Round to one decimal place if necessary

q) Determine the median for the interval frequency table