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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ९

For the data 11, 15, 17, x + 1, 19, x – 2, 3 if the mean is 14, find the value of x. Also find the mode of the data - Mathematics

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प्रश्न

For the data 11, 15, 17, x + 1, 19, x – 2, 3 if the mean is 14, find the value of x. Also find the mode of the data

योग
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उत्तर

Arithmetic mean = `"Sum of the observation"/"Number of observation"`

14 = `(11 + 15 + 17 + x  + 1 + 19 + x - 2 + 3)/7`

14 = `(2x +  64)/7`

∴ 2x + 64 = 14 × 7

2x = 98 – 64

2x = 34

x = `34/2`

= 17

The given numbers are 11, 15, 17, 18, 19, 15 and 3

15 occuring two times

∴ Mode = 15

The value of x = 17 and mode = 15

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अध्याय 8: Statistics - Exercise 8.3 [पृष्ठ २८७]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 8 Statistics
Exercise 8.3 | Q 3 | पृष्ठ २८७
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