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Give five examples of data that you can collect from day to day life.

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#### Solution

In our day to day life, we can collect the following data.

1. Number of females per 1000 males in various states of our country

2. Weights of students of our class

3. Production of wheat in the last 10 years in our country

4. Number of plants in our locality

5. Rainfall in our city in the last 10 years

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#### RELATED QUESTIONS

Why do we group data?

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

(i) What is the lowest age?

(ii) What is the highest age?

(iii) Determine the range?

The monthly pocket money of six friends is given below: Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs.

25, Rs. 45.

(i) What is the highest pocket money?

(ii) What is the lowest pocket money?

(iii) What is the range?

(iv) Arrange the amounts of pocket money in ascending order.

Write the class-size in each of the following:

(i) 0 – 4, 5 – 9, 10 – 14

(ii) 10 – 19, 20 – 29, 30 – 39

(iii) 100 – 120, 120 – 140, 160 – 180

(iv) 0 – 0.25, 0.25 – 0.50, 0.50 – 0.75

(v) 5 – 5.01, 5.01 − 5.02, 5.02 – 5.03

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

53, 61, 48, 60, 78, 68, 55, 100,67,90

75,88,77,37,84,58,60,48,62,56

44, 58, 52, 64, 98, 59, 70, 39, 50, 60

(i) Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group etc.

Now answer the following:

(ii) What is the highest score?

(iii) What is the lowest score?

(iv) What is the range?

(v) If 40 is the pass mark how many have failed?

(vi) How many have scored 75 or more?

(vii) Which observations between 50 and 60 have not actually appeared?

(viii) How many have scored less than 50?

The weights of new born babies (in kg) in a hospital on a particular day are as follows:

2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4

(i) Rearrange the weights in descending order.

(ii) Determine the highest weight.

(iii) Determine the lowest weight.

(iv) Determine the range.

(v) How many babies were born on that day?

(vi) How many babies weigh below 2.5 kg?

(vii) How many babies weigh more than 2.8 kg?

(viii) How many babies weigh 2.8 kg?

The number of runs scored by a cricket. player in 25 innings are as follows:

26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 1.5, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64,47.

(i) Rearrange these runs in ascending order.

(ii) Determine the player, is highest score.

(iii) How many times did the player not score a run?

(iv) How many centuries did he score?

(v) How many times did he score more than 50 runs?

The class size of a distribution is 25 and the first class-interval is 200-224. There are seven

class-intervals.

(i) Write the class-intervals.

(ii) Write the class-marks of each interval.

The water bills (in rupees) of 32 houses in a certain street for the period 1.1.98 to. 31.3.98 are given below:

56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59.

Tabulate the data and resent the data as a cumulative frequency table using 70-79 as one of the class intervals.

**Classify following information as primary or secondary data.**

Information of attendance of every student collected by visiting every class in a school.

**Classify following information as primary or secondary data.**

The information of heights of students was gathered from school records and sent to the head office, as it was to be sent urgently.

**Classify following information as primary or secondary data.**

In the village Nandpur, the information collected from every house regarding students not attending school.

**Classify following information as primary or secondary data.**

For science project, information of trees gathered by visiting a forest.

Which of the following data is not primary?

The range of the data: 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 is ______.