1.

The data related to variations in the price of a share for 30 days In a share market are as under. Prepare an exclusive continuous classification having class limits of one of the classes as 18.5 – 20.5.On the basis of this frequency distribution, answer the following questions:(1) What is mid value of the 4th class?(2) Find the number of days during which the price of share is at the most ₹ 16.50.(3 ) Find the number of days during which the price of share is at least ₹ 19.50.

Answer»

In the given data, minimum closing price of share is ₹ 10.50 and maximum price is ₹ 20.80.
One class 18.5-20.5 is given. Therefore the initial class that includes the minimum value of ₹ 10.5 is 10.5-12.5 and the last class that includes the maximum value of ₹ 20.80 is 20.5 – 22.5.

The frequency distribution is obtained as follows :
Exclusive continuous frequency

(1) Mid value of fourth class :
Fourth class 16.5 – 18.5
∴ Mid value = 18.5 + 16.5 / 2 = 35 / 2
= 17.5

(2) No. of days during which the closing price of share is at the most ₹ 16.50 mean the number of days during which the closing price of share is less than ₹ 16.50 = 2 + 6 + 8= 16 days.

(3) The number of days during which the closing price of share is at least ₹ 19.50 means the number of days during which the closing price of share is more than
₹ 19.50 = 8 / 5 + 2 = 4 + 2 = 6 days

∵In 18.5-20.5, 8 days are uniformly distributed. Therefore in 18.5-19.5, 4 days are there.



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