Question

the median of all 4 digits numbers that are divisible by 7

Answer 1

$\huge\underline\purple{\sf Answer}$

THE MEDIAN OF ALL 4.DIGITS NUMBERS THAT ARE DIVISIBLE BY 7::

✴ 1001.is smallest 4 digit number which is divisible by 7

✴1001 =143 * 7

✴9996 is largest 4.digit number which is divisible by 7

✴9996 = 1428 * 7

✴Total 4 digits number divisible

by 7=1286

✴ Even number.

✴So mean of 643th and 644th number will be median.

✴643 = 7 * 785

✴644 = 7 * 786

✴MEDIAN = 7(78.5+786)/2 = 5498.5

✴THE MEDIAN OF ALL 4 DIGITS NUMBERS THAT ARE DIVISIBLE

BY 7 = 5498.5 .

$\huge\underline\blue{\sf Thank you }$

Answer 2

SOLUTION :

The smallest four Digit Number Divisible by 7 is 1001

The largest four Digit number Divisible by 7 is 9996

Now the Total four Digits number Divisible by 7

= [ 9999/7] - [ 1000 /7] + 1 = 1286

1286 is an even number

Hence Median = Average of 643th & 644th term

643th term = 1001 + ( 643 - 1) × 7 = 5495

644th term = 1001 + ( 644 - 1) × 7 = 5502

Median = (5495 +5502) /2 = 5498.5‬

Hence the median of all 4 digits numbers that are divisible by 7 is 5498.5

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