Question

What is the mode of the data set?

Answer 1

Answer:

1) 61, 92, 61, 89, 92, 61

Mode : The number which appears most often in a set of numbers.

61 occurred thrice

89 occurred once

92 occurred twice

Since 61 occurred most often

So, Mode of the given data is 61.

2)82, 105, 247, 119, 94, 202

Mean = $\frac{\text{Sum of all observations}}{\text{Total no. of observations}}$

So, Mean = $\frac{82+105+247+119+94+202}{6}$

Mean = $141.5$

Thus the mean of the given data is 141.5

3) First week expenditure:  $11.52, $6.48, $5.99, $14.00, and $9.50

Mean = $\frac{\text{Sum of all observations}}{\text{Total no. of observations}}$

So, Mean = $\frac{11.52+6.48+5.99+14.00+9.50}{6}$

Mean = $7.915$

Now we are given that in the second week, she spent $4 more in total for the 5 lunches than the first week.

So, Mean = $\frac{\text{Sum of all observations+4}}{\text{Total no. of observations}}$

So, Mean = $\frac{11.52+6.48+5.99+14.00+9.50+4}{6}$

Mean = $8.581$

Increase in the mean in the second week = 8.581-7.915 = 0.666

Hence the increase in the mean for the second week compared to the first is 0.666.

Answer 2

What is the mode of the data set?: 61 (It's the one that repeats most often.)
Mean: 141.5 to find the mean add all of the the numbers then divide by how many numbers are there.