Punjab State Board PSEB 7th Class Maths Book Solutions Chapter 3 Data Handling Ex 3.2 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2

1. Find the median of the following data :

3, 1, 5, 6, 3, 4, 5

Solution:

We arrange the data in ascending order.

1, 3, 3, 4, 5, 5, 6

Here, 3 and 5 both occur twice.

Therefore, both the numbers 3 and 5 are modes of the given data.

2. Find the mode of the following numbers :

2, 2, 2, 3, 4, 5, 5, 5, 6, 6, 8

Solution:

The given data is :

2, 2, 2, 3, 4, 5, 5, 5, 6, 6, 8

Median is the middle observation

∴ 5 is the median

3. The scores in mathematics test (out of 25) of 15 students are as follows :

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20.

Find the mean, mode and median of this data ? Are they same ?

Solution:

Mean =

= \(\frac {263}{15}\)

= 17.53

Now we arrange the data in ascending order

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Here 20 occurs more frequently

∴ Mode = 20

Median is the middle observation

∴ 20 is the median.

Yes, both Mode and Median are same.

4. The weight (in kg) of 15 students of class are :

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

Question (i).

Find the mode and median of this data.

Solution:

We arrange the data in ascending order

32, 25, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

Mode. Here 38 and 43 occurs more frequently i.e. 3 times

∴ Mode = 38 and 43

Median is the middle observation

∴ 40 is median.

Question (ii).

Is there more than one mode ?

Solution:

Yes, there are two mode i.e. 38 and 43

5. Find the mode and median of the following data :

13, 16, 12, 14, 19, 12, 14, 13, 14

Solution:

We arrange the data in ascending order

12, 12, 13, 13, 14, 14, 14, 16, 19

Here 14 occurs more frequently

∴ Mode = 14

Median is middle observation

∴ 14 is median.

6. Find the mode of the following data :

12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.

Solution:

We arrange the data in ascending order

12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 19.

Here 15 occurs more frequently

∴ Mode =15

7. Multiple Choice Questions :

Question (i).

The mode of the data :

3, 5, 1, 2, 0, 2, 3, 5, 0, 2, 1, 6 is :

(a) 6

(b) 3

(c) 2

(d) 1.

Answer:

(c) 2

Question (ii).

A cricketer scored 38, 79, 25, 52, 0, 8, 100 runs in seven innings, the range of the runs scored is :

(a) 100

(b) 92

(c) 52

(d) 38.

Answer:

(a) 100

Question (iii).

Which of the following is not a central tendency of a data ?

(a) Mean

(b) Median

(c) Mode

(d) Range.

Answer:

(a) Mean

Question (iv).

The mean of 3, 1, 5, 7 and 9 is :

(a) 6

(b) 4

(c) 5

(d) 0.

Answer:

(c) 5