Question

The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, and interquartile range of the data

Answer 1

The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

Answer 2

Answer:

Median: 11

Mode: 3

Range: 30

Step-by-step explanation:

Just took the test :D