1.

Find D7 and P15 from the following data about daily sales of a mobile phone shop and interpret them:

Answer»
No. of phones xNo. of days fCumulative frequency cf
433
6912
71527
82350
10858
12260
Totaln = 60–

Seventh decile:

D7 = Value of (n+110)th observation
= Value of 7(6110)
= Value of 7 (6.1)
= 42.7th observation Referring to column cf,
D7 = 8 mobile phones

Fifteenth Percentile:

P15 = Value of 15\(\left(\frac{n+1}{100}\right)\)th observation
= Value of 15 \(\left(\frac{60+1}{100}\right)\)
= Value of 15(0.61)
= 9.15th observation

Referring to column cf,
P15 = 6 mobile phones

Interpretation:

  • D7 = 8 phones. Therefore, the sale of mobile phones of 70 % of days will be 8 or less phones.
  • P15 = 6 phones. Therefore, the sale of mobile phones of 15 % of days will be 6 or less phones.


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