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RD Chapter 7 Statistics Ex 7.3 Solutions

Question - 11 : -

Answer - 11 : -


Question - 12 : -

Answer - 12 : -


Question - 13 : -

Answer - 13 : -


Question - 14 : -

Answer - 14 : -


Question - 15 : - For the following distribution, calculate mean using all suitable methods.

Answer - 15 : -


Question - 16 : -

The weeklyobservation on cost of living index in a certain city for the year 2004 – 2005arc given below. Compute the weekly cost of living index.

Answer - 16 : - Let assumed mean (A)= 1650

= 1650 + 13.46 = 1663.46

Question - 17 : -
The following table shows the marks scored by 140 students in an examination of a certain paper:
 
Calculate the average marks by using all the three methods: direct method, assumed mean deviation and shortcut method.

Answer - 17 : -

(i) Direct Method :
 
(ii) Shortcut Method:

Question - 18 : - The mean of the following frequency distribution is 62.8 and the sum of all the frequencies is 50. Compute the missing frequency / and (C.B.S.E. 2004)

Answer - 18 : -


Question - 19 : - The following distribution shows the daily pocket allowance given to the children of a multistory building. The average pocket allowance is Rs. 18.00. Find out the missing frequency.

Answer - 19 : -


⇒ 752 + 20p = 792 + 18p
⇒ 20p- 18p = 792 – 752
⇒2p = 40
⇒p = 40/2
Hence missing frequency = 20

Question - 20 : - If the mean of the following distribution is 27, find the value of p.

Answer - 20 : - Mean = 27

⇒ 27 (43 +p) = 1245 + 15p
⇒ 1161 + 21p = 1245 + 15p
⇒ 27p -15p= 1245 – 1161
⇒ 12p = 84
⇒ p = 84/12
Hence p = 7

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