PracticeData Analysis

1. The table below shows the number of coins each of 25 students has.

Number of coins per student1234567

Number of students1356523

Draw a dot diagram to represent the above data.

2. The amount of money, in dollars, saved in a week by 30 students in a class are as follows:

7530346855505065327042666674394350556860

38756565346550665543

Draw an ordered stem-and-leaf diagram to represent the data.

3. The heights of a group of boy students, in cm, are as follows:

132125151148123128139159140

134141152141152147134146147

The heights of a group of girl students, in cm, are as follows:

160128165140133165158156150145145

129132133140155140155145155164140

Draw an ordered back-to-back stem-and-leaf diagram to represent the data of the heights of the group of boy and girl students.

4. The dot diagram below represents the ages of students of a karate class at a Community Centre.

(a) Find the total number of students in the karate class.

(b) What percentage of students, correct to 3 significant figures, in the karate class are below 10 years old?

5. The mass of school bags belonging to a group of Secondary Two students are weighed. The masses, in kilograms, are recorded in the following unordered stem-and-leaf diagram.

Key: 3 | 9 means 39 kg

(a) Represent the data as an ordered stem-and-leaf diagram.

(b) How many students are represented in the stem-and-leaf diagram?

(c) Given that the heaviest school bag has a mass of 10.8 kg, write down the mass of the lightest school bag.

(d) What is the most common mass of school bags belonging to the students?

6. For the given data sets below, determine the median for each of the following.(a) 10, 1, 5, 2, 6, 7, 6, 3, 9(b) 7, 5, 10, 1, 3, 6, 2, 9, 5, 6

7. Find the mode(s) of the data set8, 2, 1, 4, 5, 9, 1, 3, 5, 1, 5, 9.

8. A group of students were asked to count the number of pens they have. The results are as follows.

25645107576

7448236864

Find

(a) the mean,

(b) the median,

(c) the mode.

9. A class of students took a Mathematics quiz and their scores are given in the following table.

Score678910

Number of students4311135

Find

(a) the total number of students who took the Mathematics quiz,

(b) the mean score, correct to 3 significant figures,

(c) the median score,

(d) the modal score.

10. The age of a group of office executives are tabulated and recorded as follows:Age (a)Number of office executives

20 < a 2522

25 < a 3019

30 < a 3531

35 < a 4012

40 < a 459

45 < a 507

(a) Find the number of office executives in the group.

(b) Calculate an estimate of the mean age of the group of office executives.

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