﻿ Frequency Table Worksheet | Problems & Solutions

# Frequency Table Worksheet

Frequency Table Worksheet
• Page 1
1.
A book store has a total stock of 25 books of 4th, 5th, 6th and 7th grades. The table shows the number of books of each grade. Find the number of books of 4th grade.
 Grade Frequency 4th ? 5th 6 6th 9 7th 6
 a. 8 b. 7 c. 4 d. 3

#### Solution:

Number of books in 4th grade = Total number of books - Total number of books in 5th, 6th and 7th grades

Total number of books of 5th, 6th and 7th grades = 6 + 9 + 6 = 21

Number of books of 4th grade = 25 - 21 = 4
[Substitute and subtract.]

2.
The scores secured by the students in a math quiz are in the table. How many students scored 31- 40?
 31 42 49 25 29 40 36 24 29 30 40 46 38 34 26 24 22 39 40 21

 a. 9 b. 8 c. 7 d. 6

#### Solution:

From the data, the scores can be grouped as 21 - 30, 31 - 40 and 41 - 50.

The scores obtained in the range of 31 - 40 are 31, 40, 36, 40, 38, 34, 39 and 40.

The number of students who scored in the range 31 - 40 is 8.

3.
Identify the scale that you would use to graphically represent the data.

 a. units of 100 b. units of 10 c. units of 5 d. units of 10,000

#### Solution:

The least number of refrigerators produced = 528,000

The highest number of refrigerators produced = 562,000

Label the vertical axis with multiples of 10, from 520 to 570.

So, the scale that could be used to graph the data is units of 10,000.

4.
Which of the following scales best suits the data shown?
 Animal Horse Dog Cow Mouse Average Life-Span (in years) 18 13 22 3

 a. units of 20 b. units of 100 c. units of 5 d. units of 1,000

#### Solution:

3, 13, 18, 22
[Arrange the data in ascending order.]

The scale, units of 5 is most appropriate.

Among the given choices, the scale, units of 5 best suits the data shown in the table.

5.
Mrs. Maria surveyed her students for their favorite fruit. The table shows the results. What fraction of the students liked orange ?
 Number of students Favorite fruit 3 Orange 2 Watermelon 10 Grapes 15 Apple
 a. $\frac{1}{2}$ b. $\frac{1}{10}$ c. $\frac{1}{3}$ d. $\frac{1}{15}$

#### Solution:

Total number of students = 3 + 2 + 10 + 15 = 30

Number of students who like orange = 3

The fraction of students who like orange = number of students who like orangetotal number of students = 3 / 30 = 1 / 10

So, the fraction of students who told orange as their favorite fruit = 1 / 10

6.
The time clocked by different racers in a car race are 1.2 min, 1.5 min, 1.2 min, 1.4 min, 1.5 min, 1.6 min, 1.6 min, 1.2 min, 1.4 min, 1.2 min, 1 min, 1.5 min. Which frequency table represents the data correctly?

 a. Table 4 b. Table 1 c. Table 3 d. Table 2

#### Solution:

To prepare the frequency table, list the unique timings and the number of racers who finished the race in the particular time as the frequency.

The frequencies of each data value match with those given in Table 4.

So, the frequency table 4 represents the data correctly.

7.
Pick an appropriate frequency table for the words having more than two letters in the sentence, "Man is responsible for his own glory and destruction".

 a. Table 1 b. Table 4 c. Table 2 d. Table 3

#### Solution:

The frequency of a data item is number of times it occurs in the data set.

In the sentence, number of 3 lettered words is 5, number of 5 lettered words is 1 and the number of 11 lettered words is 2.

The frequency table that matches with the above data is

So, Table 1 is the appropriate frequency table for the words having more than two letters.

8.
Justin tabulated the number of Peaches sold by vendors in 3 hours on a Sunday. Find the difference between the number of vendors who sold at least 16 Peaches in 3 hours on Sunday and the number of vendors who sold at most 15 Peaches in the same time.
 NUMBER OF PEACHES FREQUENCY(No Of Vendors) 1 - 5 1 6 - 10 2 11 - 15 10 16 - 20 16 21 - 25 1
 a. 12 b. 4 c. 5 d. 7

#### Solution:

= 16 + 1 = 17
Number of vendors that sold at least 16 peaches = number of vendors who sold 16-20 peaches + number of vendors who sold 21-25 peaches

= 10 + 2 + 1 = 13
Number of vendors who sold less than 15 peaches = number of vendors who sold 1-5 peachces + vendors who sold 6-10 peaches + vendors who sold 11-15 peaches

The difference between vendors who sold at least 16 and those who sold at most 15 = 17 - 13 = 4.

9.
Max Mirnyi played 5 matches, Andy Roddick played 5 matches, Kenneth Carlsen played 2 matches, Andre played 7 matches and Pete Sampras played 6 matches in a tennis tournament. Pick an appropriate frequency table for the data.

 a. Table 1 b. Table 2 c. Table 3 d. Table 4

#### Solution:

From the data number of matches played by Max = 5

Number of matches played bye Andy = 5

Number of matches played by Kenneth = 2

Number of matches played by Andre = 7

Number of matches played by Pete = 6

The appropriate table for the data is Table 3.

10.
Which frequency table represents the following data? 10, 12, 14, 10, 18, 21, 18, 14, 10, 18, 12, 9, 6, 6, 6, 9, 6, 6 and 14

 a. Table 1 b. Table 2 c. Table 3 d. Table 4

#### Solution:

The frequency of a data item is the number of times it occurs in the data set.

Observe the occurrences of each data item in the data set.

The frequencies of the data items in the set match with the numbers in Table 1.

So, Table 1 is the correct frequency table of the data.