The class size of a distribution is 25 and the first class - interval

1.	The class size of a distribution is 25 and the first class - interval is 200 - 224. There are seven class intervals:(i) Write the class - intervals.(ii) Write the class - marks of each interval.
Answer» Given, Class size = 25 First class interval = 200 - 224 (i) Seven class intervals are: 200 - 240, 225 - 249, 250 - 274, 275 - 299, 300 - 324, 325 - 349, 350 - 374 (ii) Class marks of 200 - 224: \(\frac{200+224}{2}\) = \(\frac{424}{2}\) = 212 Class marks of 225 - 249 = \(\frac{225+249}{2}\) = \(\frac{474}{2}\) = 237 Class marks of 250 - 274 = \(\frac{250+274}{2}\) = \(\frac{524}{2}\) = 262 Class marks of 275 - 299 = \(\frac{275+299}{2}\) = \(\frac{574}{2}\) = 287 Class marks of 300 - 324 = \(\frac{300+324}{2}\) = \(\frac{624}{2}\) = 312 Class marks of 325 - 349 = \(\frac{325+349}{2}\) = \(\frac{674}{2}\) = 337 Class marks of 350 - 374 = \(\frac{350+374}{2}\) = \(\frac{724}{2}\) = 362

The class size of a distribution is 25 and the first class - interval is 200 - 224. There are seven class intervals:(i) Write the class - intervals.(ii) Write the class - marks of each interval.

Answer»

Given,

Class size = 25

First class interval = 200 - 224

(i) Seven class intervals are:

200 - 240, 225 - 249, 250 - 274, 275 - 299, 300 - 324, 325 - 349, 350 - 374

(ii) Class marks of 200 - 224: \(\frac{200+224}{2}\) = \(\frac{424}{2}\) = 212

Class marks of 225 - 249 = \(\frac{225+249}{2}\) = \(\frac{474}{2}\) = 237

Class marks of 250 - 274 = \(\frac{250+274}{2}\) = \(\frac{524}{2}\) = 262

Class marks of 275 - 299 = \(\frac{275+299}{2}\) = \(\frac{574}{2}\) = 287

Class marks of 300 - 324 = \(\frac{300+324}{2}\) = \(\frac{624}{2}\) = 312

Class marks of 325 - 349 = \(\frac{325+349}{2}\) = \(\frac{674}{2}\) = 337

Class marks of 350 - 374 = \(\frac{350+374}{2}\) = \(\frac{724}{2}\) = 362

Discussion

No Comment Found

Related InterviewSolutions

Explain the difference between a frequency distribution and a cumulative frequency distribution.
Define cumulative frequency distribution.
The number of runs scored by a cricket player in 25 innings is as follows: 26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 15, 34, 6, 71, 0, 64, 15, 34, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47 (i) Rearrange these runs in ascending order. (ii) Determine the player, is highest score.(iii) How many times did the player not score a run? (iv) How many centuries did he score? (v) How many times did he score more than 50 runs?
The final marks in mathematics of 30 students are as follows:53, 61, 48, 60, 78, 68, 55, 100, 67, 9075, 88, 77, 37, 84, 58, 60, 48, 62, 5644, 58, 52, 64, 98, 59, 70, 39, 50, 60(i) Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group, etc.Now answer the following:(ii) What is the highest score?(iii) What is the lowest score?(iv) What is the range?(v) If 40 is the pass mark how many have failed?(vi) How many have scored 75 or more?(vii) Which observations between 50 and 60 have not actually appeared?(viii) How many have scored less than 50?
The number of runs scored by a cricket. player in 25 innings are as follows: 26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 1.5, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47.(i) Rearrange these runs in ascending order. (ii) Determine the player, is highest score. (iii) How many times did the player not score a run? (iv) How many centuries did he score? (v) How many times did he score more than 50 runs?
The number of runs scored by a cricket player in 25 inning are as follows:26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47(i) Rearrange these runs in ascending order.(ii) Determine the player, is highest score.(iii) How many times did the player not score a run?(iv) How many centuries dis he score?(v) How many times did he score more than 50 runs?
The class size of a distribution is 25 and the first class - interval is 200 - 224. There are seven class intervals:(i) Write the class - intervals.(ii) Write the class - marks of each interval.
Explain the meaning of the following terms:(i) Variable(ii) Class - interval(iii) Class - size(iv) Class - mark(v) Frequency(vi) Class limits(vii) True class limits
What are:(i) Primary data?(ii) Secondary data?Which of the two—the primary or the secondary data—is more reliable and why?
Explain the meaning of the following terms: (i) Variate(ii) Class-integral(iii) Class-size (iv) Class-mark (v) Frequency (vi) Class limits(vii)True class limits