11 Classify the following data by taking class interval such that their mid-values are 17, 22, 27, 32 and so on: 30 42 30 54 40 48 15 17 51 42 30 27 42 36 28 28 37 54 44 31 36 22 30 31 19 48 16 42 32 33 41 21 16 17 36 37 41 46 224 25 41 36 40 21 22 40 47, 52 53​

Answer :

Answer:

Explanation:

To classify the given data into class intervals with mid-values 17, 22, 27, 32, and so on, we can start by finding the range of the data. Then we can choose an appropriate width for the class intervals. Let's proceed step by step:

1) Find the range:

Maximum value: 224

Minimum value: 15

Range = Maximum value - Minimum value = 224 - 15 = 209

2) Determine the width of each class interval:

We want the mid-values of the class intervals to be 17, 22, 27, 32, and so      on. Since the data has a wide range, we can choose a width of 5 for the   class intervals.

3) Determine the starting point for the class intervals:

We can start from a value slightly below the minimum value to ensure    that all data points are included. Let's start from 10.

4) Create the class intervals:

Starting from 10 and incrementing by 5, we get the following class intervals:10 - 14.99

15 - 19.99

20 - 24.99

25 - 29.99

30 - 34.99

35 - 39.99

40 - 44.99

45 - 49.99

50 - 54.99

...

5) Count the frequencies of data points falling within each class interval.

Let's organize the data into these class intervals:

10 - 14.99: 15, 16

15 - 19.99: 17, 16, 19

20 - 24.99: 21, 22, 22

25 - 29.99: 25, 27, 28, 28

30 - 34.99: 30, 30, 30, 31, 31, 32, 33

35 - 39.99: 36, 36, 36, 37, 37

40 - 44.99: 40, 40, 40, 41, 41, 42, 42, 42, 42, 44

45 - 49.99: 46, 47

50 - 54.99: 51, 52, 53, 54, 54

Now, you have the data classified into class intervals with mid-values of 17, 22, 27, 32, etc.

I hope that your doubt is solved.. Stay motivated and positive... :)

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