Download One Var Stat Test review

On Var Stat Review
IB Math Studies SL
Name: ___________________
Mr. Kleckner
Show all work do not find mean with 1-var stat in the calculator
1) Classify the following data as either discrete or continuous
a) Automobiles sold last month
b) Number of pages a computer prints per period
c) The breaking strength of a string
d) Distance first year college students can kick a football
e) The total goals scored by each hockey team
f) Scores for the final exams in Geometry honors
2) Find the mean, median and mode for {3,3,6,5,3,4,3,8,9}
3) Find the value of x so that the mean of {2, 3, 6, 8, x} is 9
4) Find the value of x so that the median of {11, 2, 3, 3.2, 13, 14, 8, x} is 8
5) Find the value of x so that the mean of {x, 2x-1, 2x, 3x+1} is 6
6) The following frequency distribution shows the exam scores of a random sample of statistics final
exams:
Stat exam
scores
# of students
55-
65-
75-
85-
95-105
7
13
11
11
4
a) Create a histogram for the data
b) Classify the shape of the histogram
c) Find the mean exam score
7) Use the following stem and leaf plot that is representing the heights, in cm, of 44 German
schoolchildren
132,133,133,135,138,141,141,141,144,145,145,149,153,154,154,156,156,157,157,157,157,157,158,159
159,161,162,162,164,165,166,166,167,168,168,174,174,174,175,176,176,180,181,183
a) Calculate the mean, mode and standard deviation of the heights
b) Find Q1, Q2, and Q3
c) Draw a box-and-whisker plot representing the heights of the schoolchildren
8) The frequency distribution of the verbal scores on the SAT test for students at Kennedy High School is
shown below:
Scores
200-
250-
300-
350-
400-
450-
500-
550-
600-
650-
700-
# of
students
7
15
28
30
33
20
17
12
7
3
3
a) Estimate the mean of the verbal scores
b) What is the modal class
c) Create a histogram for the data
9) A city police officer, using radar, checked the speed of cars as they were traveling down the main street
in town:
41 33 33 35 36 37 39 49 35 19 26 27 28 32 40 39 26 53 39 36 35 39
a)
Create a frequency distribution table for the data using class intervals with a width of 5
b) Find the mean, median and mode for the data
c)
Find the standard deviation for the data.
10) Use the following cumulative frequency graph to answer a-c
a) Estimate the median
b) Find the IQR for the data
c) Find the amount of money earned for the 60th percentile.