Chapter 10.1, Problem 1GP

To determine

To find mean, median and mode of G’s tip

Answer to Problem 1GP

Mean is60, median is 68 and mode is 90.

Explanation of Solution

Given information: G’s tip’s data,

Days	Tips
Monday	47
Tuesday	52
Wednesday	68
Friday	90
Sunday	73

Formula used: Mean is,

  $mean=\frac{{\displaystyle \sum _{i=1}^n{X}_i}}{n}$

Where, n=total number of terms,

Median is,

  $median=\frac{{(n+1)}^{th}}{2}observation$

Mode is,

  $Mode=ObservationWithHighestFrequency$

Calculation:

For Mean,

Substituting values,

  $mean=\frac{47+52+68+90+73}{5}$

So,

  $mean=\frac{330}{5}$

On solving,

  $mean=60$

Hence, mean is 60.

For Median,

Substituting the values,

  $median=\frac{{(5+1)}^{th}}{2}$

So,

  $median=\frac{{(6)}^{th}}{2}$

On solving,

  $median=3^{rd}observation$

Substituting the value,

  $median=68$

Hence, median is 68.

For Mode,

Substituting the highest value,

  $Mode=90$

Hence, mode is 90.