The document presents data from a student survey that rated 4 fruits from 1 to 4. It then provides 5 approaches to analyze the data to determine the class favorite and least favorite fruits: (a) which fruit was ranked 1 most often, (b) which fruit was ranked 4 most often, (c) totaling the rankings, (d) finding the median ranking, and (e) creating bar graphs of the rankings. The answers show that depending on the analysis approach, different fruits could be considered the class favorite or least favorite.

1. Student
Banana Mango Pineapple Watermelon
Lina 4 3 1 2
Kristina 1 4 2 3
Romeo 4 1 3 2
Julia 1 3 4 2
Monina 3 4 1 2
Noel 4 2 1 3
Regi 1 3 4 2
Jose 1 4 2 3
Anna 4 2 1 3
Ramon 4 1 3 2
Dennis 1 3 4 2
Corinne 4 1 2 3
Erik 1 3 4 2
Robert 1 2 4 3
Teresita 4 1 3 2
ASSESSMENT
1. Lina’s class rated the fruits banana, mango, pineapple watermelon from 1 to 4 (with
1 being the most favored fruit, and 4 being the least favored) Her class’ data is
recorded in the chart below.

2. Use the approaches below to determine the
class favorite.
(a) Find the fruit that was selected as favorite
(ranked with a 1) the most often.
Represent this data in a picture graph (or
dotplot). Which fruit would represent the class
favorite if this method were used to determine
the favorite?

3. (b) Find the fruit that was selected as least
favorite (ranked with a 4) the most often.
Represent this data in a picture graph (or
dotplot). Which fruit would represent the least
favorite of the class if this method were used to
determine the least favorite?
(c) Find the sum of the scores of the rankings.
Which fruit would represent the favorite if the
sum of the class scores was used to determine
the favorite? Which fruit would be the least
favorite using this method?

4. (d) Find the median score of each type of fruit.
Which fruit would represent the favorite if the
median was used to determine the favorite?
Which fruit would represent the least favorite if
the median was used to determine the favorite?
(e) Draw a bar graph of the score distribution for
each fruit. Which fruit do you think would
represent the favorite if you use the bar graphs to
compare them? Describe the shape of each
distribution in the bar graphs in the previous
exercise

5. ANSWERS:
X
X
X
X X X
X X X
X X X
X X X
Banana mango pineapple watermelon
(a) Banana was selected as the favorite the most often.

6. X
X
X X
X X
X X X
X X X
X X X
Banana mango pineapple watermelon
(b) Banana was (also) selected as the least favorite fruit most often.

7. Banan
a
mang
o
pineappl
e
watermelo
n
38 37 39 36
(c)The sum of the ranked scores is shown. Based on this, the
class favorite would be watermelon, and the least favorite would
be pineapple.

8. Banana mango pineapple watermelon
3 3 3 2
(d) The median score of each chocolate is shown below.
Based on this, watermelon would be the class favorite,
and the least favorite would be a three-way tie: banana,
mango and pineapple.

9. (e)Bar graphs for each fruit are shown.
Answers will vary as to which fruit should
be selected as most/least favorite
0
2
4
6
8
1 2 3 4
banana
frequency of responses
rank

10. 0
2
4
6
8
10
1 2 3 4
mango
frequency of responses
rank

11. 0
1
2
3
4
5
1 2 3 4
pineapple
frequency of responses
rank

12. 0
1
2
3
4
5
1 2 3 4
watermelon
frequency of responses
rank