Categorical Or Quantitative Variables, Histogram, Pie-Chart And Bar Graph Worksheet

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1. Determine whether the following variables are categorical or quantitative.
(a) Number of laps a subject can swim
(b) Color of a randomly selected beetle
(c) Birth weight
(d) Hometown
(e) Life of a battery measured in hours
2. The data below represents measurements of the weight of a candy bar in deca-
grams.
(a) Create a histogram with an appropriate number of intervals which shows
the distributions of this data.
33 30 25 60 63
43 26 35 62 44
45 70 14 33 54
31 33 44 23 47
54 56 43 38 57
64 22 42 13 44
(b) Describe the shape of this data. Is the distribution symmetric? Are there
any outliers?
3. A study is conducted where five colored sticky pads (red, orange, yellow, green,
and purple) are placed in a field and after some time, the insects which have
been trapped on each pad is counted : The results of the study are displayed
in the table below. Create a pie-chart and a bargraph to show the distribution
Red Orange Yellow Green Purple
of this data.
23
45
76
34
10
4. Compute the mean, median,
,
and the standard deviation for the following
1
3
observations:4, 5 ,7 , 12 ,5, 8.
5. If the mean of 20 observations is 32, then what is the sum of all of the observa-
tions?
6. A student received scores of 92, 83, and 71 on three quizzes. What is the lowest
score that the student can get on the next test, which is out of 200, to achieve
a mean of at least 80?
7. If your scores of the first four exams are 98, 100, 90 and 97, what do you need
to make on the next exam for your overall mean to be at least 90?

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