Question

Using the following data, construct a frequency distribution table:
46, 44, 42, 54, 52, 60, 50, 58, 56, 62, 50, 56, 54, 58 and 48.
Now answer the following:
(iii) How many numbers are between 40 and 50 ?

Answer 1

Step 1 : Constructing the frequency distribution table

The required frequency distribution of the given data will be as shown below:

Marks Tally-marks Frequency

42	|	1
44	|	1
46	|	1
48	|	1
50	| |	2
52	|	1
54	| |	2
56	| |	2
58	| |	2
60	|	1
62	|	1
$\text{Total}$		$\text{15}$

Step 2 : Finding the total numbers between 40 and 50

Numbers between 40 and50
$=1+1+1+1+2=6$

Hence, 6 numbers are between 40 and 50.