By John Farndon
This booklet offers a wealthy source of data wih greatest effect and minimal muddle. a thousand proof are coated by means of a hundred themes, each one with 10 key issues that offer an easy yet memorable deal with at the topic. attention-grabbing details panels in addition to prolonged captions magnify this quickly hearth process.
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A) Find the mean deviation of the following: 15,21,19,20,18, 17,22,23,16,25 (b) Find the mean deviation and the standard deviation of the data given in (a), if their frequencies are respectively: 1,11, 12, 14,9,6,9,5,3,1 3. Thirty observations of an angle e are distributed as folIows, fbeing the frequency of the corresponding value. Calculate the mean and mean deviation of these readings. () 4. 5. 6. 7. f 50° 36' 20" 1 50° 36' 21" 2 50° 36' 23" 4 50° 36' 24" 6 50° 36' 25" 8 50° 36' 26" 5 50° 36' 27" 3 50° 36' 28" 1 Using (i) 40 and (ii) 50 as the assumed mean find the mean of the variable x which occurs with frequency f as folIows: x 20 30 40 50 60 70 80 f 53 75 95 100 70 35 22 Find also the median.
The value of the variable for which the ordinate divides the area under the curve into two equal parts is therefore the median. On the other hand the mode corresponds to the maximum value of the frequency. We shall take some examples of frequency curves later. We merely note here that any finite number of observations might be 36 SOME STATISTICAL IDEAS CHAP. 2 regarded as a sampie taken from an infinite number distributed in a manner indicated by the frequency curve. The histolrram of the sampie is an approximation to the frequency curve, the degree of approximation depending in general on the number of observations and on the dass width.
Find the mean and the median of the following: (a) 10,12,14, 16, 17, 19,20,21 (b) the quantities given in (a) when they occur with frequencies 2, 3,4, 5, 6, 8, 10, 12 respectively. 2. (a) Find the mean deviation of the following: 15,21,19,20,18, 17,22,23,16,25 (b) Find the mean deviation and the standard deviation of the data given in (a), if their frequencies are respectively: 1,11, 12, 14,9,6,9,5,3,1 3. Thirty observations of an angle e are distributed as folIows, fbeing the frequency of the corresponding value.