Question

Which set of data has a mean of 15, a range of
22, a median of 14, and a mode of 14?
a. 3,14,19,25,14
b. 14,22,15,15,9
c. 14,22,14,15,4
d. 25,15,14,3,7
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Answer 1

Answer:

answer is option (a)

Step-by-step explanation:

as in the question.

mode is 14 and both (a) and (c) have made as 14 but

option (a) have mean 15 as

Mean=sum of terms/no. of terms

=3+14+19+25+14/5

=75/5= 15

Answer 2

Which set of data has a mean of 15, a range of

22, a median of 14, and a mode of 14?

a. 3,14,19,25,14

b. 14,22,15,15,9

c. 14,22,14,15,4

d. 25,15,14,3,7

Solution:

The required answer is an option a => 3,14,19,25,14

First, arrange the given set in ascending order.

3,14,19,25,14

Ascending order = 3, 14, 14, 19, 25

Mean = sum of observations/total observations

=> (3+14+14+19+25)/5

=> 75/5

=> 15

Median is the middle number of the data.

3, 14, 14, 19, 25

=> 14 is the median

The Mode is the number that occurs most number of times.

3, 14, 14, 19, 25

In the given data, 14 occurs two times. so, 14 is the mode.

Range:

Range is highest value - lowest value

3, 14, 14, 19, 25

=> 25 - 3 =22

so, range is 22.

Hence, the required answer is 3,14,19,25,14