Question

Match the mean, median, mode, and range of the given data set.18, 15, 22, 18, 25, 19, 23​

Answer 1

Answer:

Mean = 20,

Median = 19,

Mode = 18,

Range = 10

Explanation:

Given data set,

18, 15, 22, 18, 25, 19, 23​

Number of observations = 7,

Thus,

$\text{Mean}=\frac{\text{Sum of all observations}}{\text{Number of observations}}$

$=\frac{18+15+22+18+25+19+23​}{7}=\frac{140}{7}=20$

Now, arrange the data in ascending order,

15, 18, 18, 19, 22, 23, 25,

Thus, median = middle term of the data set = 19

Mode = the data value with highest frequency = 18,

Range = largest data value - smallest data value = 25 - 15 = 10

Answer 2

Mean - 20
Median-19
Range-10
Mode -18