1

Problem

Data set A consists of 10 positive integers less than 60. The list below shows 9 of the integers in data set A: 40, 47, 43, 50, 55, 52, 56, 58, and 59.
If the mean of data set A is 51, what is the value of the tenth integer?

2

Step

Given information:
Data set A consists of 10 positive integers less than 60.
The list provided contains 9 integers from data set A, along with their mean.

3

Step

Sum of the 9 integers:

40 + 47 + 43 + 50 + 55 + 52 + 56 + 58 + 59 = 460

5

Step

Mean = 51 for 10 integers:

Total sum = 51 × 10 = 510

6

Step

Tenth integer:

510 − 460 = 50

12

Solution

The value of the largest integer from data set A is 50.

13

Sumup

Please summarize Problem, Clue, Hint, Formula, Steps and Solution

Choices

14

Choice-A

Correct because adding 50 to the sum of the given 9 integers produces a total of 510, and dividing by 10 gives the required mean of 51

Correct 50

15

Choice-B

Incorrect because adding 60 results in a total of 520, which gives a mean of 52 instead of 51

Wrong 60

16

Choice-C

Incorrect because adding 62 produces a total of 522, resulting in a mean of 52.2 rather than 51

Wrong 62

17

Choice-D

Incorrect because adding 64 gives a total of 524, which results in a mean of 52.4 instead of the required mean of 51

Wrong 64

18

Answer

Option

A

19

Sumup

Please summarize choices