Construct a frequency distribution table for the following weights (in gm) of 30 apples using the continuous class intervals of class size 10.
The weights are: 37, 41, 44, 38, 47, 55, 59, 50, 75, 67, 62, 63, 74, 53, 62, 43, 36, 38, 54, 56, 66, 71, 74, 75, 46, 47, 59, 60, 61, 63.

Which class interval has the highest frequency? [3 Marks]

Open in App

Solution

The grouped frequency distribution table can be made as follows:

 $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 30 - 40 & 4 40 - 50 & 6 50 - 60 & 7 60 - 70 & 8 70 - 80 & 5 \end{matrix}$ [2 Marks]
From the table we can see that the highest frequency is 8 which corresponds to the class interval 60-70. Hence, the class interval with highest frequency is 60-70. [1 Mark]

Suggest Corrections

Similar questions

Q. By taking classes

30 - 40, 40 - 50, 50 - 60, . . .

, construct a frequency table for the following data:

65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69

Also, construct a combined histogram and frequency polygon for the distribution.

Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table ?

Question 100(ii)

Question 95(ii)

The weights (in kg) of 30 students of a class are as follows :
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,
31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26
Prepare a frequency distribution table using one class interval as (30-35), 35 not included.
Which class has the maximum frequency ?

The marks scored by

40

candidates in an examination (out of

100

) is given below:

75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61, 42, 46

68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45, 51, 47, 41, 43

Prepare a frequency distribution table with the class size

10

. Take the class intervals as

(30 - 39), (40 - 49), . . .

and answer the following questions:

(i) Which class intervals have the highest and lowest frequency?

(ii) Write the upper and lower limits of the class interval

30 - 39

Join BYJU'S Learning Program