By Team Aakash Byju's | 15th November 2022

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Finding the Frequency for the Given Class Interval

A grouped frequency table with class intervals of equal sizes using 250 - 270 (270 not included in this interval) as one of the class intervals is constructed for the following data:

The frequency of class 310 - 330 is

A) 8

B) 6

C) 7

D) 5

Detailed Explanation

The right answer is B) 6

Arrow

The required class size is given as 20 (250-270 or 310-330). The minimum data value is 210 and the maximum is 406.

So, let us write the data for each class interval.

Class Interval

Data Points

Frequency

210 - 230

230 - 250

250 - 270

270 - 290

290 - 310

310 - 330

330 - 350

350 - 370

370 - 390

390 - 410

210,215,220

236,240,242

258,258,268

272,278,290

290,292,300,304,310

310,310,316,318, 319,320,330

330,342

354,368

-

402,402,406

3

3

3

2

4

6

2

2

0

3

Therefore, the frequency of the class interval 310 - 330 is 6.

Class Interval

Data Points

Frequency

210 - 230

230 - 250

250 - 270

270 - 290

290 - 310

310 - 330

330 - 350

350 - 370

370 - 390

390 - 410

210,215,220

236,240,242

258,258,268

272,278,290

290,292,300,304,310

310,310,316,318, 319,320,330

330,342

354,368

-

402,402,406

3

3

3

2

4

6

2

2

0

3