Tabular Representation of Statistical Data MATHS - Tabular Representation of Statistical Data

The number of times a particular item occurs in a given data is called its:

1. Variation.
2. Frequency.
3. Cumulative frequency.
4. Class-size.

The following marks were obtained by the students in a test:
81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62
The range of the marks is:

1. 9
2. 17
3. 27
4. 33

The difference between the highest and lowest values of the observations is called:

1. Frequency.
2. Mean.
3. Range.
4. Class-intervals.

The difference between the upper and the lower class limits is called:

1. Mid-points.
2. Class size.
3. Frequency.
4. Mean.

The monthly pocket money of six friends is given below:
Rs. 45, Rs. 30, Rs. 40, Rs. 25, Rs. 45.

1. What is the lowest pocket money?
2. What is the highest pocket money?
3. What is the range?
4. Arrange the amounts of pocket money in ascending order.

Write the class-size in the following:
5-5.01, 5.01-5.02, 5.02-5.03.

Write the class-size in the following:
0-4, 5-9, 10-14

Explain the meaning of the following terms:
Frequency.

Write the class-size in the following:
0-0.25, 0.25-00.50, 0.50-0.75

Explain the difference between a frequency distribution and a cumulative frequency distribution.

What do you understand by the word “statistics” in:
Singular form.

The ages of ten students of a group are given below. The ages have been recorded in years and months:
8-6, 9-0, 8-4, 9-3, 7-8, 8-11, 8-7, 9-2, 7-10, 8-8

1. What is the lowest age?
2. What is the highest age?
3. Determine the range?

What do you understand by the word “statistics” in:
Plural form.

Define cumulative frequency distribution.

What are:

1. Primary data,
2. Secondary data?

Which of the two-the primary or the secondary data-is more reliable and why?

Describe some fundamental characteristics of statistics.

The daily minimum temperatures in degrees Celsius recorded in a certain arctic region are as follows:
-12.5, -10.8, -18.6, -8.4, -10.8, -4.2, -4.8, -6.7, -13.2, -11.8, -2.3, 1.2, 2.6, 0, -2.4, 0, 3.2, 2.7, 3.4, 0, -2.4, -2.4, 0, 3.2, 2.7, 3.4, 0, -2.4, -5.8, -8.9, -14.6, -12.3, -11.5, -7.8, -2.9.
Represent them as frequency distribution table taking -19.9 to -15 as the first class interval.

Write the class size and class limits in the following:
12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5.

The final marks in mathematics of 30 students are as follows:

1. Arrange these marks in ascending order 30 to 39 one group 40 to 49 second group etc.

Now answer the following:

2. What is the lowest score?
3. What is the highest score?
4. What is the range?
5. If 40 is the pass mark how many failed?
6. How many have scored 75 or more?
7. Which observations between 50 and 60 have not actually appeared?
8. How many have scored less than 50?

The number of books in different shelves of a library is as follows: Prepare a cumulative frequency distribution table using 45 - 49 as the last class-interval.

The number of runs scored by a cricket player in 25 innings is as follows: 
26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 15, 34, 6, 71, 0, 64, 15, 34, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47

1. Rearrange these runs in ascending order.
2. Determine the player, is highest score.
3. How many times did the player not score a run?
4. How many centuries did he score?
5. How many times did he score more than 50 runs?